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 |
228.1-a2 |
228.1-a |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
228.1 |
\( 2^{2} \cdot 3 \cdot 19 \) |
\( 2^{4} \cdot 3^{5} \cdot 19 \) |
$0.60143$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$5.482231917$ |
0.633033614 |
\( \frac{212831}{2052} a + \frac{51428}{513} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 2 a\) , \( 0\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}$ |
228.1-a4 |
228.1-a |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
228.1 |
\( 2^{2} \cdot 3 \cdot 19 \) |
\( 2^{2} \cdot 3^{10} \cdot 19^{2} \) |
$0.60143$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.741115958$ |
0.633033614 |
\( -\frac{537398275}{175446} a + \frac{623983097}{58482} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -8 a\) , \( -18 a + 8\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}-8a{x}-18a+8$ |
228.2-a2 |
228.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
228.2 |
\( 2^{2} \cdot 3 \cdot 19 \) |
\( 2^{4} \cdot 3^{5} \cdot 19 \) |
$0.60143$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$5.482231917$ |
0.633033614 |
\( -\frac{212831}{2052} a + \frac{418543}{2052} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 0\) , \( a - 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a-1$ |
228.2-a4 |
228.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
228.2 |
\( 2^{2} \cdot 3 \cdot 19 \) |
\( 2^{2} \cdot 3^{10} \cdot 19^{2} \) |
$0.60143$ |
$(-2a+1), (-5a+2), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.741115958$ |
0.633033614 |
\( \frac{537398275}{175446} a + \frac{667275508}{87723} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 10 a - 10\) , \( 9 a - 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-10\right){x}+9a-1$ |
1452.1-b2 |
1452.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1452.1 |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{4} \) |
$0.95541$ |
$(-2a+1), (2), (11)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$0.560225554$ |
1.293785498 |
\( \frac{168105213359}{228637728} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 115\) , \( 561\bigr] \) |
${y}^2+{x}{y}={x}^{3}+115{x}+561$ |
1452.1-b3 |
1452.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1452.1 |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 11^{2} \) |
$0.95541$ |
$(-2a+1), (2), (11)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$1.120451108$ |
1.293785498 |
\( \frac{10091699281}{2737152} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) |
${y}^2+{x}{y}={x}^{3}-45{x}+81$ |
2604.1-b2 |
2604.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2604.1 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{5} \cdot 31 \) |
$1.10563$ |
$(-2a+1), (-3a+1), (-6a+1), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$1.155618781$ |
1.334393628 |
\( \frac{89945456429}{675238032} a + \frac{3442163868137}{2025714096} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 16 a - 42\) , \( -19 a - 18\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(16a-42\right){x}-19a-18$ |
2604.1-b3 |
2604.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2604.1 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 31^{2} \) |
$1.10563$ |
$(-2a+1), (-3a+1), (-6a+1), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$0.577809390$ |
1.334393628 |
\( -\frac{2196024357305119847}{29317541143212} a + \frac{2407195728201591827}{14658770571606} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 196 a - 402\) , \( -2179 a + 2790\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(196a-402\right){x}-2179a+2790$ |
2604.4-b2 |
2604.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2604.4 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{5} \cdot 31 \) |
$1.10563$ |
$(-2a+1), (3a-2), (6a-5), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$1.155618781$ |
1.334393628 |
\( -\frac{89945456429}{675238032} a + \frac{232000014839}{126607131} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -16 a - 24\) , \( -22 a - 20\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-16a-24\right){x}-22a-20$ |
2604.4-b3 |
2604.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2604.4 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 31^{2} \) |
$1.10563$ |
$(-2a+1), (3a-2), (6a-5), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$0.577809390$ |
1.334393628 |
\( \frac{2196024357305119847}{29317541143212} a + \frac{2618367099098063807}{29317541143212} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -196 a - 204\) , \( 1778 a + 808\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-196a-204\right){x}+1778a+808$ |
6636.1-b2 |
6636.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6636.1 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{5} \cdot 79 \) |
$1.39693$ |
$(-2a+1), (-3a+1), (10a-7), (2)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$0.734994715$ |
$1.294876283$ |
2.197919878 |
\( -\frac{321390609676}{322643979} a + \frac{5641669520551}{1290575916} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -38 a + 15\) , \( -84 a + 77\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a+15\right){x}-84a+77$ |
6636.1-b3 |
6636.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6636.1 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) |
\( 2^{2} \cdot 3^{5} \cdot 7^{10} \cdot 79^{2} \) |
$1.39693$ |
$(-2a+1), (-3a+1), (10a-7), (2)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1.469989430$ |
$0.647438141$ |
2.197919878 |
\( \frac{320664188504880779}{47599056783243} a + \frac{1329070173312043609}{95198113566486} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -218 a + 105\) , \( 672 a - 949\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-218a+105\right){x}+672a-949$ |
6636.4-b2 |
6636.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6636.4 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{5} \cdot 79 \) |
$1.39693$ |
$(-2a+1), (3a-2), (10a-3), (2)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$0.734994715$ |
$1.294876283$ |
2.197919878 |
\( \frac{321390609676}{322643979} a + \frac{484011897983}{143397324} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 40 a - 25\) , \( 45 a + 17\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-25\right){x}+45a+17$ |
6636.4-b3 |
6636.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
6636.4 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) |
\( 2^{2} \cdot 3^{5} \cdot 7^{10} \cdot 79^{2} \) |
$1.39693$ |
$(-2a+1), (3a-2), (10a-3), (2)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1.469989430$ |
$0.647438141$ |
2.197919878 |
\( -\frac{320664188504880779}{47599056783243} a + \frac{1970398550321805167}{95198113566486} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 220 a - 115\) , \( -891 a - 163\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(220a-115\right){x}-891a-163$ |
7500.1-c2 |
7500.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
7500.1 |
\( 2^{2} \cdot 3 \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{6} \) |
$1.44034$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$0.686404979$ |
$0.787497134$ |
2.496656342 |
\( -\frac{19465109}{248832} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \) |
${y}^2+{x}{y}={x}^{3}-28{x}+272$ |
7500.1-c3 |
7500.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
7500.1 |
\( 2^{2} \cdot 3 \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{6} \) |
$1.44034$ |
$(-2a+1), (2), (5)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1.372809958$ |
$0.393748567$ |
2.496656342 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \) |
${y}^2+{x}{y}={x}^{3}-828{x}+9072$ |
108300.2-h2 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{40} \cdot 3^{10} \cdot 5^{10} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{5} \cdot 5^{3} \) |
$1$ |
$0.054200066$ |
2.503393825 |
\( \frac{89962967236397039}{287450726400000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -9335 a\) , \( -737383\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-9335a{x}-737383$ |
108300.2-h3 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{20} \cdot 5^{20} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$4$ |
\( 2^{4} \cdot 5^{3} \) |
$1$ |
$0.027100033$ |
2.503393825 |
\( \frac{75224183150104868881}{11219310000000000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 87945 a\) , \( -8655975\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+87945a{x}-8655975$ |
117012.3-f2 |
117012.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
117012.3 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) |
\( 2^{6} \cdot 3^{20} \cdot 7^{15} \cdot 199^{2} \) |
$2.86257$ |
$(-2a+1), (-3a+1), (3a-2), (15a-13), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{3} \) |
$1$ |
$0.057655413$ |
1.331494737 |
\( \frac{272011197939400654727}{5284319732941902408} a - \frac{144609399423457366589}{5284319732941902408} \) |
\( \bigl[a + 1\) , \( -a\) , \( a\) , \( 4588 a - 4076\) , \( -656176 a + 718144\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(4588a-4076\right){x}-656176a+718144$ |
117012.3-f4 |
117012.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
117012.3 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{15} \cdot 199 \) |
$2.86257$ |
$(-2a+1), (-3a+1), (3a-2), (15a-13), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{3} \) |
$1$ |
$0.115310826$ |
1.331494737 |
\( -\frac{103108252845198519481}{874217959417152} a + \frac{6858031313885603981}{36425748309048} \) |
\( \bigl[a + 1\) , \( -a\) , \( a\) , \( 7068 a - 10036\) , \( -338576 a + 306200\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(7068a-10036\right){x}-338576a+306200$ |
117012.4-f2 |
117012.4-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
117012.4 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) |
\( 2^{6} \cdot 3^{20} \cdot 7^{15} \cdot 199^{2} \) |
$2.86257$ |
$(-2a+1), (-3a+1), (3a-2), (15a-2), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{3} \) |
$1$ |
$0.057655413$ |
1.331494737 |
\( -\frac{272011197939400654727}{5284319732941902408} a + \frac{21233633085990548023}{880719955490317068} \) |
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( -4590 a + 513\) , \( 656175 a + 61968\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-4590a+513\right){x}+656175a+61968$ |
117012.4-f4 |
117012.4-f |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
117012.4 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{15} \cdot 199 \) |
$2.86257$ |
$(-2a+1), (-3a+1), (3a-2), (15a-2), (2)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{3} \) |
$1$ |
$0.115310826$ |
1.331494737 |
\( \frac{103108252845198519481}{874217959417152} a + \frac{61484498688055976063}{874217959417152} \) |
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( -7070 a - 2967\) , \( 338575 a - 32376\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-7070a-2967\right){x}+338575a-32376$ |
25.1-CMa1 |
25.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
25.1 |
\( 5^{2} \) |
\( 5^{3} \) |
$0.39963$ |
$(-a-2)$ |
0 |
$\Z/10\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$5$ |
5Cs.1.1 |
$1$ |
\( 2 \) |
$1$ |
$9.195427721$ |
0.183908554 |
\( 1728 \) |
\( \bigl[i + 1\) , \( i\) , \( 1\) , \( -i - 1\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-i-1\right){x}$ |
25.3-CMa1 |
25.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
25.3 |
\( 5^{2} \) |
\( 5^{3} \) |
$0.39963$ |
$(2a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{yes}$ |
$-4$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$5$ |
5Cs.1.1 |
$1$ |
\( 2 \) |
$1$ |
$9.195427721$ |
0.183908554 |
\( 1728 \) |
\( \bigl[i + 1\) , \( i\) , \( i\) , \( 0\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}$ |
2178.1-b2 |
2178.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2178.1 |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{4} \) |
$1.22091$ |
$(a+1), (3), (11)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$0.560225554$ |
1.120451108 |
\( \frac{168105213359}{228637728} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 115\) , \( -561\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+115{x}-561$ |
2178.1-b3 |
2178.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2178.1 |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 11^{2} \) |
$1.22091$ |
$(a+1), (3), (11)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$1.120451108$ |
1.120451108 |
\( \frac{10091699281}{2737152} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) |
${y}^2+{x}{y}={x}^{3}-45{x}+81$ |
2250.2-a1 |
2250.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2250.2 |
\( 2 \cdot 3^{2} \cdot 5^{3} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{13} \) |
$1.23088$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$1.083804599$ |
2.167609198 |
\( \frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( -29 i + 62\) , \( 204 i + 139\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-29i+62\right){x}+204i+139$ |
2250.2-a2 |
2250.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2250.2 |
\( 2 \cdot 3^{2} \cdot 5^{3} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \) |
$1.23088$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$2.167609198$ |
2.167609198 |
\( -\frac{405178123}{300000} a - \frac{1228303}{25000} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -9 i + 1\) , \( -12 i + 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-9i+1\right){x}-12i+5$ |
2250.3-a1 |
2250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2250.3 |
\( 2 \cdot 3^{2} \cdot 5^{3} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{13} \) |
$1.23088$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$1.083804599$ |
2.167609198 |
\( -\frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 29 i + 62\) , \( -204 i + 139\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(29i+62\right){x}-204i+139$ |
2250.3-a2 |
2250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2250.3 |
\( 2 \cdot 3^{2} \cdot 5^{3} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \) |
$1.23088$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$2.167609198$ |
2.167609198 |
\( \frac{405178123}{300000} a - \frac{1228303}{25000} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( 9 i + 1\) , \( 12 i + 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(9i+1\right){x}+12i+5$ |
2610.2-a1 |
2610.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2610.2 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{10} \cdot 29^{2} \) |
$1.27741$ |
$(a+1), (-a-2), (2a+5), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1.103989287$ |
$1.041549501$ |
2.299718986 |
\( \frac{4595304741012881}{197109375000} a - \frac{8721492355789967}{197109375000} \) |
\( \bigl[i\) , \( i - 1\) , \( i + 1\) , \( 57 i - 66\) , \( 239 i - 148\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(57i-66\right){x}+239i-148$ |
2610.2-a4 |
2610.2-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2610.2 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{5} \cdot 29 \) |
$1.27741$ |
$(a+1), (-a-2), (2a+5), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$0.551994643$ |
$2.083099003$ |
2.299718986 |
\( \frac{10059024449}{26100000} a + \frac{43710667}{271875} \) |
\( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( -3 i - 7\) , \( -12 i - 8\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-3i-7\right){x}-12i-8$ |
2610.3-a1 |
2610.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2610.3 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{10} \cdot 29^{2} \) |
$1.27741$ |
$(a+1), (2a+1), (-2a+5), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1.103989287$ |
$1.041549501$ |
2.299718986 |
\( -\frac{4595304741012881}{197109375000} a - \frac{8721492355789967}{197109375000} \) |
\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( -58 i - 66\) , \( -240 i - 148\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-58i-66\right){x}-240i-148$ |
2610.3-a4 |
2610.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2610.3 |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{5} \cdot 29 \) |
$1.27741$ |
$(a+1), (2a+1), (-2a+5), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$0.551994643$ |
$2.083099003$ |
2.299718986 |
\( -\frac{10059024449}{26100000} a + \frac{43710667}{271875} \) |
\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 2 i - 7\) , \( 11 i - 8\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(2i-7\right){x}+11i-8$ |
9225.3-a1 |
9225.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9225.3 |
\( 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 3^{2} \cdot 5^{15} \cdot 41^{2} \) |
$1.75150$ |
$(-a-2), (2a+1), (-5a-4), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.803833524$ |
0.803833524 |
\( -\frac{91086254566912}{49248046875} a + \frac{87687029137984}{49248046875} \) |
\( \bigl[i + 1\) , \( -1\) , \( 1\) , \( 35 i - 71\) , \( 179 i - 93\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(35i-71\right){x}+179i-93$ |
9225.3-a3 |
9225.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9225.3 |
\( 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 3^{4} \cdot 5^{15} \cdot 41 \) |
$1.75150$ |
$(-a-2), (2a+1), (-5a-4), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.803833524$ |
0.803833524 |
\( \frac{84276178090496}{3603515625} a + \frac{4763095183424}{1201171875} \) |
\( \bigl[i + 1\) , \( 1\) , \( 1\) , \( -i + 129\) , \( 584 i + 28\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-i+129\right){x}+584i+28$ |
9225.4-a1 |
9225.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9225.4 |
\( 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 3^{2} \cdot 5^{15} \cdot 41^{2} \) |
$1.75150$ |
$(-a-2), (2a+1), (4a+5), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.803833524$ |
0.803833524 |
\( \frac{91086254566912}{49248046875} a + \frac{87687029137984}{49248046875} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 1\) , \( -36 i - 71\) , \( -179 i - 93\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-36i-71\right){x}-179i-93$ |
9225.4-a3 |
9225.4-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
9225.4 |
\( 3^{2} \cdot 5^{2} \cdot 41 \) |
\( 3^{4} \cdot 5^{15} \cdot 41 \) |
$1.75150$ |
$(-a-2), (2a+1), (4a+5), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.803833524$ |
0.803833524 |
\( -\frac{84276178090496}{3603515625} a + \frac{4763095183424}{1201171875} \) |
\( \bigl[i + 1\) , \( -1\) , \( i\) , \( 130\) , \( 584 i - 28\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-{x}^{2}+130{x}+584i-28$ |
11250.3-f2 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$0.650527560$ |
$0.787497134$ |
4.098308718 |
\( -\frac{19465109}{248832} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \) |
${y}^2+{x}{y}={x}^{3}-28{x}+272$ |
11250.3-f3 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1.301055121$ |
$0.393748567$ |
4.098308718 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \) |
${y}^2+{x}{y}={x}^{3}-828{x}+9072$ |
396.3-b1 |
396.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
396.3 |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{2} \) |
$1.05466$ |
$(a), (-a+1), (-2a+3), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$3.169541966$ |
2.395948518 |
\( -\frac{441746231}{371712} a + \frac{166429421}{371712} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -a + 4\) , \( a + 2\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-a+4\right){x}+a+2$ |
396.3-b2 |
396.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
396.3 |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{4} \cdot 11 \) |
$1.05466$ |
$(a), (-a+1), (-2a+3), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$3.169541966$ |
2.395948518 |
\( \frac{208341031}{101376} a - \frac{47745685}{50688} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 3 a - 6\) , \( 2 a - 1\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a-6\right){x}+2a-1$ |
396.4-b1 |
396.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
396.4 |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{2} \) |
$1.05466$ |
$(a), (-a+1), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$3.169541966$ |
2.395948518 |
\( \frac{441746231}{371712} a - \frac{45886135}{61952} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 3\) , \( -2 a + 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+3{x}-2a+3$ |
396.4-b2 |
396.4-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
396.4 |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{4} \cdot 11 \) |
$1.05466$ |
$(a), (-a+1), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$3.169541966$ |
2.395948518 |
\( -\frac{208341031}{101376} a + \frac{112849661}{101376} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -2 a - 3\) , \( -6 a - 1\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-3\right){x}-6a-1$ |
1276.6-b3 |
1276.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1276.6 |
\( 2^{2} \cdot 11 \cdot 29 \) |
\( 2^{30} \cdot 11 \cdot 29^{2} \) |
$1.41303$ |
$(a), (-a+1), (-2a+3), (4a-3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1$ |
$1.087708817$ |
3.288922320 |
\( -\frac{16835397969375}{9700376576} a + \frac{39499657296453}{9700376576} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 19 a - 51\) , \( 64 a - 79\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(19a-51\right){x}+64a-79$ |
1276.6-b4 |
1276.6-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1276.6 |
\( 2^{2} \cdot 11 \cdot 29 \) |
\( 2^{30} \cdot 11^{2} \cdot 29 \) |
$1.41303$ |
$(a), (-a+1), (-2a+3), (4a-3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1$ |
$1.087708817$ |
3.288922320 |
\( \frac{33650938470825}{3679453184} a + \frac{10212358040757}{1839726592} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 49 a - 18\) , \( 80 a + 111\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(49a-18\right){x}+80a+111$ |
1276.7-b3 |
1276.7-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1276.7 |
\( 2^{2} \cdot 11 \cdot 29 \) |
\( 2^{30} \cdot 11 \cdot 29^{2} \) |
$1.41303$ |
$(a), (-a+1), (2a+1), (-4a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1$ |
$1.087708817$ |
3.288922320 |
\( \frac{16835397969375}{9700376576} a + \frac{11332129663539}{4850188288} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -19 a - 32\) , \( -64 a - 15\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-19a-32\right){x}-64a-15$ |
1276.7-b4 |
1276.7-b |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1276.7 |
\( 2^{2} \cdot 11 \cdot 29 \) |
\( 2^{30} \cdot 11^{2} \cdot 29 \) |
$1.41303$ |
$(a), (-a+1), (2a+1), (-4a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1$ |
$1.087708817$ |
3.288922320 |
\( -\frac{33650938470825}{3679453184} a + \frac{54075654552339}{3679453184} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -49 a + 31\) , \( -80 a + 191\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-49a+31\right){x}-80a+191$ |
4356.5-e2 |
4356.5-e |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
4356.5 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{4} \) |
$1.92070$ |
$(a), (-a+1), (-2a+3), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{3} \) |
$1$ |
$0.560225554$ |
4.234907127 |
\( \frac{168105213359}{228637728} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 115\) , \( 561\bigr] \) |
${y}^2+{x}{y}={x}^{3}+115{x}+561$ |
4356.5-e3 |
4356.5-e |
$4$ |
$10$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
4356.5 |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 11^{2} \) |
$1.92070$ |
$(a), (-a+1), (-2a+3), (2a+1), (3)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{3} \) |
$1$ |
$1.120451108$ |
4.234907127 |
\( \frac{10091699281}{2737152} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) |
${y}^2+{x}{y}={x}^{3}-45{x}+81$ |
*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.