Label |
Class |
Class size |
Class degree |
Base field |
Field degree |
Field signature |
Conductor |
Conductor norm |
Discriminant norm |
Root analytic conductor |
Bad primes |
Rank |
Torsion |
CM |
CM |
Sato-Tate |
$\Q$-curve |
Base change |
Semistable |
Potentially good |
Nonmax $\ell$ |
mod-$\ell$ images |
$Ш_{\textrm{an}}$ |
Tamagawa |
Regulator |
Period |
Leading coeff |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
144.1-CMa1 |
144.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{6} \) |
$0.53615$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$5.108115717$ |
0.491528664 |
\( 0 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) |
${y}^2={x}^{3}+1$ |
273.2-a4 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 7^{2} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$3.548424136$ |
0.682894543 |
\( -\frac{39922553}{8281} a + \frac{488720312}{223587} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 4 a\) , \( 3 a - 7\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+4a{x}+3a-7$ |
273.2-a7 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{6} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.182808045$ |
0.682894543 |
\( \frac{1915717851108899}{1703607756123} a + \frac{2297367303009589}{1703607756123} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -26 a - 15\) , \( -78 a + 47\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-15\right){x}-78a+47$ |
273.3-a4 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 7^{2} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$3.548424136$ |
0.682894543 |
\( \frac{39922553}{8281} a - \frac{589188619}{223587} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -4 a + 5\) , \( -3 a\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a+5\right){x}-3a$ |
273.3-a7 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{6} \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.182808045$ |
0.682894543 |
\( -\frac{1915717851108899}{1703607756123} a + \frac{1404361718039496}{567869252041} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 26 a - 40\) , \( 63 a - 57\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-40\right){x}+63a-57$ |
300.1-a5 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.941435210$ |
0.747258760 |
\( \frac{702595369}{72900} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -19 a + 18\) , \( 26\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a+18\right){x}+26$ |
300.1-a6 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{12} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.647145070$ |
0.747258760 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-334{x}-2368$ |
441.2-a5 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{8} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.957080255$ |
0.753280541 |
\( -\frac{854150427}{117649} a + \frac{1556711379}{117649} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -20 a + 1\) , \( -30 a + 18\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-20a+1\right){x}-30a+18$ |
441.2-a6 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{8} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.957080255$ |
0.753280541 |
\( \frac{854150427}{117649} a + \frac{702560952}{117649} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 19 a - 18\) , \( 29 a - 11\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(19a-18\right){x}+29a-11$ |
2352.2-b1 |
2352.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2352.2 |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{12} \) |
$1.07785$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.872431843$ |
1.511096279 |
\( -\frac{10061824000}{352947} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -113 a + 113\) , \( -516\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-113a+113\right){x}-516$ |
2352.2-b4 |
2352.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2352.2 |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{4} \) |
$1.07785$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$2.617295530$ |
1.511096279 |
\( \frac{2048000}{1323} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -7 a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-7a{x}$ |
8463.1-b4 |
8463.1-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8463.1 |
\( 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 31^{2} \) |
$1.48450$ |
$(-2a+1), (-3a+1), (-4a+1), (-6a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1.114394217$ |
$0.910190271$ |
2.342450397 |
\( \frac{85639094521375}{681868827003} a - \frac{901056417898375}{6136819443027} \) |
\( \bigl[a + 1\) , \( -a\) , \( a\) , \( 21 a + 6\) , \( 26 a + 163\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(21a+6\right){x}+26a+163$ |
8463.1-b7 |
8463.1-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8463.1 |
\( 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 31^{6} \) |
$1.48450$ |
$(-2a+1), (-3a+1), (-4a+1), (-6a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$3.343182653$ |
$0.303396757$ |
2.342450397 |
\( \frac{35473867087135291853875}{17645952575648761} a - \frac{47321414088812900938000}{52937857726946283} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 1727 a + 217\) , \( -5209 a + 32857\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(1727a+217\right){x}-5209a+32857$ |
8463.8-b4 |
8463.8-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8463.8 |
\( 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 31^{2} \) |
$1.48450$ |
$(-2a+1), (3a-2), (4a-3), (6a-5)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1.114394217$ |
$0.910190271$ |
2.342450397 |
\( -\frac{85639094521375}{681868827003} a - \frac{130304567206000}{6136819443027} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -7 a - 22\) , \( -27 a + 189\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-7a-22\right){x}-27a+189$ |
8463.8-b7 |
8463.8-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8463.8 |
\( 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 31^{6} \) |
$1.48450$ |
$(-2a+1), (3a-2), (4a-3), (6a-5)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$3.343182653$ |
$0.303396757$ |
2.342450397 |
\( -\frac{35473867087135291853875}{17645952575648761} a + \frac{59100187172592974623625}{52937857726946283} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -1728 a + 1944\) , \( 5208 a + 27648\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-1728a+1944\right){x}+5208a+27648$ |
11172.3-b6 |
11172.3-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
11172.3 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{8} \cdot 19^{6} \) |
$1.59123$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.352160370$ |
2.439838618 |
\( -\frac{84420590916548501}{66418810245228} a - \frac{90781306402521407}{354233654641216} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 396 a - 166\) , \( 1756 a + 2208\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(396a-166\right){x}+1756a+2208$ |
11172.3-b7 |
11172.3-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
11172.3 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 19^{2} \) |
$1.59123$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$1.056481112$ |
2.439838618 |
\( \frac{308665604131}{509655468} a + \frac{2419924581077}{4586899212} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -39 a + 14\) , \( -20 a - 63\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-39a+14\right){x}-20a-63$ |
11172.4-b4 |
11172.4-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
11172.4 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{8} \cdot 19^{6} \) |
$1.59123$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.352160370$ |
2.439838618 |
\( \frac{84420590916548501}{66418810245228} a - \frac{1623073373872340237}{1062700963923648} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -396 a + 229\) , \( -1527 a + 4130\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-396a+229\right){x}-1527a+4130$ |
11172.4-b6 |
11172.4-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
11172.4 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 19^{2} \) |
$1.59123$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$1.056481112$ |
2.439838618 |
\( -\frac{308665604131}{509655468} a + \frac{1299478754564}{1146724803} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 39 a - 26\) , \( -6 a - 97\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(39a-26\right){x}-6a-97$ |
14196.2-f4 |
14196.2-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14196.2 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 13^{8} \) |
$1.68943$ |
$(-2a+1), (-3a+1), (-4a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.445930432$ |
2.059664444 |
\( -\frac{16895176369983241}{139070020908} a - \frac{51170013766180639}{1251630188172} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 572 a - 598\) , \( 6432 a - 3840\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(572a-598\right){x}+6432a-3840$ |
14196.2-f7 |
14196.2-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14196.2 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{12} \cdot 13^{8} \) |
$1.68943$ |
$(-2a+1), (-3a+1), (-4a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.148643477$ |
2.059664444 |
\( -\frac{365016400400812000709}{801710995600459308} a + \frac{4033953608391841398581}{4275791976535782976} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -1873 a + 1382\) , \( 34656 a - 18183\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1873a+1382\right){x}+34656a-18183$ |
14196.5-f2 |
14196.5-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14196.5 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 13^{8} \) |
$1.68943$ |
$(-2a+1), (3a-2), (-4a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.445930432$ |
2.059664444 |
\( \frac{16895176369983241}{139070020908} a - \frac{50806650274007452}{312907547043} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -26 a + 598\) , \( -6432 a + 2592\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-26a+598\right){x}-6432a+2592$ |
14196.5-f5 |
14196.5-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14196.5 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{12} \cdot 13^{8} \) |
$1.68943$ |
$(-2a+1), (3a-2), (-4a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.148643477$ |
2.059664444 |
\( \frac{365016400400812000709}{801710995600459308} a + \frac{6261598418762532184399}{12827375929607348928} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -491 a - 1382\) , \( -34656 a + 16473\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-491a-1382\right){x}-34656a+16473$ |
14700.2-h5 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.181789683$ |
2.518951744 |
\( \frac{2179252305146449}{66177562500} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 2701 a\) , \( -52819\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+2701a{x}-52819$ |
14700.2-h6 |
14700.2-h |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.545369050$ |
2.518951744 |
\( \frac{5203798902289}{57153600} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 361 a\) , \( 2585\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+361a{x}+2585$ |
14700.2-i3 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{12} \cdot 7^{4} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{7} \cdot 3^{2} \) |
$1$ |
$0.297372254$ |
2.747007217 |
\( \frac{21302308926361}{8930250000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 577 a\) , \( 2756\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+577a{x}+2756$ |
14700.2-i7 |
14700.2-i |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 7^{12} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{7} \cdot 3^{3} \) |
$1$ |
$0.099124084$ |
2.747007217 |
\( \frac{1169975873419524361}{108425318400} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 21952 a\) , \( -1253644\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+21952a{x}-1253644$ |
14763.2-b1 |
14763.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14763.2 |
\( 3 \cdot 7 \cdot 19 \cdot 37 \) |
\( 3^{6} \cdot 7^{6} \cdot 19^{2} \cdot 37^{2} \) |
$1.70605$ |
$(-2a+1), (-3a+1), (-5a+3), (-7a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1.441006030$ |
$0.824223222$ |
2.742900216 |
\( \frac{6802180964734375}{174429583923} a - \frac{79438652742316375}{1569866255307} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 134 a - 144\) , \( -707 a + 346\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(134a-144\right){x}-707a+346$ |
14763.2-b2 |
14763.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14763.2 |
\( 3 \cdot 7 \cdot 19 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 19^{6} \cdot 37^{6} \) |
$1.70605$ |
$(-2a+1), (-3a+1), (-5a+3), (-7a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$4.323018090$ |
$0.274741074$ |
2.742900216 |
\( -\frac{140755540843425270940375}{17743908319506585363} a - \frac{181136044582565161067000}{17743908319506585363} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -496 a - 669\) , \( -9527 a - 5975\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-496a-669\right){x}-9527a-5975$ |
14763.7-b2 |
14763.7-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14763.7 |
\( 3 \cdot 7 \cdot 19 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 19^{6} \cdot 37^{6} \) |
$1.70605$ |
$(-2a+1), (3a-2), (-5a+2), (-7a+4)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$4.323018090$ |
$0.274741074$ |
2.742900216 |
\( \frac{140755540843425270940375}{17743908319506585363} a - \frac{107297195141996810669125}{5914636106502195121} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 496 a - 1166\) , \( 8361 a - 14832\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(496a-1166\right){x}+8361a-14832$ |
14763.7-b3 |
14763.7-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14763.7 |
\( 3 \cdot 7 \cdot 19 \cdot 37 \) |
\( 3^{6} \cdot 7^{6} \cdot 19^{2} \cdot 37^{2} \) |
$1.70605$ |
$(-2a+1), (3a-2), (-5a+2), (-7a+4)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1.441006030$ |
$0.824223222$ |
2.742900216 |
\( -\frac{6802180964734375}{174429583923} a - \frac{18219024059707000}{1569866255307} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -134 a - 11\) , \( 696 a - 216\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-134a-11\right){x}+696a-216$ |
36309.5-e4 |
36309.5-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{12} \cdot 7^{8} \cdot 13^{2} \cdot 19^{2} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.499233319$ |
2.305859932 |
\( \frac{459130129886875}{581389475121} a - \frac{2845422806852000}{5232505276089} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 158 a - 109\) , \( -1176 a + 587\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(158a-109\right){x}-1176a+587$ |
36309.5-e5 |
36309.5-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{6} \cdot 19^{6} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.166411106$ |
2.305859932 |
\( -\frac{157271733240017606414875}{240443183295719038089} a + \frac{49604627072464288863625}{80147727765239679363} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -1372 a + 1016\) , \( 27534 a - 22417\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1372a+1016\right){x}+27534a-22417$ |
36309.6-c2 |
36309.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.6 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{18} \cdot 7^{6} \cdot 13^{6} \cdot 19^{2} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.157849384$ |
2.187225235 |
\( \frac{65405700741420098209}{9149729583084363} a - \frac{359185091750981341864}{82347566247759267} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -1388 a - 1515\) , \( -45792 a - 9959\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1388a-1515\right){x}-45792a-9959$ |
36309.6-c7 |
36309.6-c |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.6 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{6} \cdot 7^{18} \cdot 13^{2} \cdot 19^{6} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
$1$ |
$0.052616461$ |
2.187225235 |
\( -\frac{112884442414617106303622129}{2971314037137150216603} a + \frac{50414705881057141747201411}{990438012379050072201} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -25958 a + 38850\) , \( -1300158 a - 1466987\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-25958a+38850\right){x}-1300158a-1466987$ |
36309.7-c7 |
36309.7-c |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.7 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{18} \cdot 7^{6} \cdot 13^{6} \cdot 19^{2} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.157849384$ |
2.187225235 |
\( -\frac{65405700741420098209}{9149729583084363} a + \frac{229466214921799542017}{82347566247759267} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -2902 a + 1514\) , \( 45792 a - 55751\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2902a+1514\right){x}+45792a-55751$ |
36309.7-c8 |
36309.7-c |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.7 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{6} \cdot 7^{18} \cdot 13^{2} \cdot 19^{6} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
$1$ |
$0.052616461$ |
2.187225235 |
\( \frac{112884442414617106303622129}{2971314037137150216603} a + \frac{38359675228554318937982104}{2971314037137150216603} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 12893 a - 38851\) , \( 1300158 a - 2767145\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(12893a-38851\right){x}+1300158a-2767145$ |
36309.8-e6 |
36309.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.8 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{6} \cdot 19^{6} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.166411106$ |
2.305859932 |
\( \frac{157271733240017606414875}{240443183295719038089} a - \frac{8457852022624739824000}{240443183295719038089} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -1017 a + 1371\) , \( -27534 a + 5117\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1017a+1371\right){x}-27534a+5117$ |
36309.8-e7 |
36309.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36309.8 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 3^{12} \cdot 7^{8} \cdot 13^{2} \cdot 19^{2} \) |
$2.13650$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.499233319$ |
2.305859932 |
\( -\frac{459130129886875}{581389475121} a + \frac{1286748362129875}{5232505276089} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 108 a - 159\) , \( 1176 a - 589\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-159\right){x}+1176a-589$ |
62244.1-e3 |
62244.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
62244.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$2.44469$ |
$(-2a+1), (-3a+1), (-4a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.353370202$ |
1.632147052 |
\( \frac{4628024219957101875}{3741592977147844} a - \frac{598095146539336500}{935398244286961} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -285 a - 57\) , \( -3285 a + 2484\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-285a-57\right){x}-3285a+2484$ |
62244.1-e8 |
62244.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
62244.1 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 19^{2} \) |
$2.44469$ |
$(-2a+1), (-3a+1), (-4a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.353370202$ |
1.632147052 |
\( \frac{62310367102053375}{341525697604} a + \frac{293373143964721125}{5464411161664} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 15 a + 985\) , \( 13860 a - 7450\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(15a+985\right){x}+13860a-7450$ |
62244.8-d5 |
62244.8-d |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
62244.8 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$2.44469$ |
$(-2a+1), (3a-2), (4a-3), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.353370202$ |
1.632147052 |
\( -\frac{4628024219957101875}{3741592977147844} a + \frac{2235643633799755875}{3741592977147844} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 57 a + 285\) , \( 3285 a - 801\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(57a+285\right){x}+3285a-801$ |
62244.8-d7 |
62244.8-d |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
62244.8 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 19^{2} \) |
$2.44469$ |
$(-2a+1), (3a-2), (4a-3), (-5a+2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.353370202$ |
1.632147052 |
\( -\frac{62310367102053375}{341525697604} a + \frac{1290339017597575125}{5464411161664} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -986 a - 15\) , \( -13860 a + 6410\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-986a-15\right){x}-13860a+6410$ |
82173.5-f2 |
82173.5-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82173.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{6} \cdot 43^{6} \) |
$2.62048$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-7a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$9$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.132179692$ |
2.747303326 |
\( \frac{31125196942078035780149291}{4485265772405554227} a - \frac{1094229948749065192462859}{4485265772405554227} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( 7993 a - 13375\) , \( -455466 a + 507210\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(7993a-13375\right){x}-455466a+507210$ |
82173.5-f5 |
82173.5-f |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82173.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) |
\( 3^{6} \cdot 7^{12} \cdot 13^{2} \cdot 43^{2} \) |
$2.62048$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-7a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.396539078$ |
2.747303326 |
\( \frac{3293826772289}{5251868167} a - \frac{262735570587232}{992603083563} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -92 a - 145\) , \( -2265 a + 501\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-92a-145\right){x}-2265a+501$ |
82173.8-e6 |
82173.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82173.8 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) |
\( 3^{6} \cdot 7^{12} \cdot 13^{2} \cdot 43^{2} \) |
$2.62048$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (7a-6)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.396539078$ |
2.747303326 |
\( -\frac{3293826772289}{5251868167} a + \frac{359797689375389}{992603083563} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 144 a + 92\) , \( 2264 a - 1763\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(144a+92\right){x}+2264a-1763$ |
82173.8-e8 |
82173.8-e |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82173.8 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{6} \cdot 43^{6} \) |
$2.62048$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (7a-6)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$9$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.132179692$ |
2.747303326 |
\( -\frac{31125196942078035780149291}{4485265772405554227} a + \frac{1430046047301379551794592}{213584084400264487} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 13374 a - 7993\) , \( 455465 a + 51745\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(13374a-7993\right){x}+455465a+51745$ |
82992.2-b2 |
82992.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82992.2 |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13^{6} \cdot 19^{6} \) |
$2.62699$ |
$(-2a+1), (-3a+1), (-4a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$2.776074454$ |
$0.237784809$ |
4.573364696 |
\( \frac{9207517391341757169664}{33380977828088163} a - \frac{2174979923318846799872}{11126992609362721} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -1597 a + 2561\) , \( 25380 a + 20880\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-1597a+2561\right){x}+25380a+20880$ |
82992.2-b3 |
82992.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82992.2 |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$2.62699$ |
$(-2a+1), (-3a+1), (-4a+1), (-5a+2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$0.925358151$ |
$0.713354427$ |
4.573364696 |
\( \frac{11262321197056}{21532943523} a - \frac{811482114899968}{193796491707} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 83 a + 41\) , \( -324 a + 636\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(83a+41\right){x}-324a+636$ |
82992.7-b2 |
82992.7-b |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
82992.7 |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \) |
$2.62699$ |
$(-2a+1), (3a-2), (4a-3), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$0.925358151$ |
$0.713354427$ |
4.573364696 |
\( -\frac{11262321197056}{21532943523} a - \frac{710121224126464}{193796491707} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -83 a + 124\) , \( 324 a + 312\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-83a+124\right){x}+324a+312$ |
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.