| 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 |
| 50029.1-a1 |
50029.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.1 |
\( 7^{2} \cdot 1021 \) |
\( 7^{6} \cdot 1021 \) |
$2.31475$ |
$(-3a+1), (-36a+25)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.572729119$ |
2.970731699 |
\( -\frac{3612697}{1021} a - \frac{13356515}{1021} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 5 a - 13\) , \( 7 a - 15\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(5a-13\right){x}+7a-15$ |
| 50029.2-a1 |
50029.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.2 |
\( 7^{2} \cdot 1021 \) |
\( 7^{6} \cdot 1021 \) |
$2.31475$ |
$(-3a+1), (36a-11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.186052702$ |
$2.572729119$ |
2.210850641 |
\( \frac{3612697}{1021} a - \frac{16969212}{1021} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 4 a - 13\) , \( 9 a - 19\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(4a-13\right){x}+9a-19$ |
| 50029.2-b1 |
50029.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.2 |
\( 7^{2} \cdot 1021 \) |
\( 7^{10} \cdot 1021 \) |
$2.31475$ |
$(-3a+1), (36a-11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.527036119$ |
$1.274316983$ |
3.102038693 |
\( -\frac{12145337319}{2451421} a + \frac{93536112812}{2451421} \) |
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( -61 a + 47\) , \( 39 a - 141\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-61a+47\right){x}+39a-141$ |
| 50029.2-c1 |
50029.2-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.2 |
\( 7^{2} \cdot 1021 \) |
\( 7^{2} \cdot 1021^{2} \) |
$2.31475$ |
$(-3a+1), (36a-11)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.264878949$ |
$3.071281178$ |
3.757477450 |
\( \frac{2153508864}{1042441} a - \frac{665710592}{1042441} \) |
\( \bigl[0\) , \( -a\) , \( a\) , \( -4 a + 5\) , \( -4 a - 3\bigr] \) |
${y}^2+a{y}={x}^{3}-a{x}^{2}+\left(-4a+5\right){x}-4a-3$ |
| 50029.5-a1 |
50029.5-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.5 |
\( 7^{2} \cdot 1021 \) |
\( 7^{6} \cdot 1021 \) |
$2.31475$ |
$(3a-2), (-36a+25)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.186052702$ |
$2.572729119$ |
2.210850641 |
\( -\frac{3612697}{1021} a - \frac{13356515}{1021} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -5 a - 9\) , \( -10 a - 10\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-9\right){x}-10a-10$ |
| 50029.5-b1 |
50029.5-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.5 |
\( 7^{2} \cdot 1021 \) |
\( 7^{10} \cdot 1021 \) |
$2.31475$ |
$(3a-2), (-36a+25)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.527036119$ |
$1.274316983$ |
3.102038693 |
\( \frac{12145337319}{2451421} a + \frac{81390775493}{2451421} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -47 a + 61\) , \( -54 a - 149\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-47a+61\right){x}-54a-149$ |
| 50029.5-c1 |
50029.5-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.5 |
\( 7^{2} \cdot 1021 \) |
\( 7^{2} \cdot 1021^{2} \) |
$2.31475$ |
$(3a-2), (-36a+25)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.264878949$ |
$3.071281178$ |
3.757477450 |
\( -\frac{2153508864}{1042441} a + \frac{1487798272}{1042441} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 4 a + 1\) , \( 3 a - 7\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4a+1\right){x}+3a-7$ |
| 50029.6-a1 |
50029.6-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50029.6 |
\( 7^{2} \cdot 1021 \) |
\( 7^{6} \cdot 1021 \) |
$2.31475$ |
$(3a-2), (36a-11)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.572729119$ |
2.970731699 |
\( \frac{3612697}{1021} a - \frac{16969212}{1021} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -5 a - 8\) , \( -7 a - 8\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-5a-8\right){x}-7a-8$ |
| 50043.2-a1 |
50043.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50043.2 |
\( 3 \cdot 7 \cdot 2383 \) |
\( 3^{2} \cdot 7 \cdot 2383 \) |
$2.31491$ |
$(-2a+1), (-3a+1), (54a-41)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$0.069830600$ |
$5.096553896$ |
3.287621036 |
\( -\frac{4882432}{50043} a + \frac{26902528}{16681} \) |
\( \bigl[0\) , \( -a + 1\) , \( a\) , \( -a + 2\) , \( -a + 1\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+2\right){x}-a+1$ |
| 50043.2-b1 |
50043.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50043.2 |
\( 3 \cdot 7 \cdot 2383 \) |
\( 3 \cdot 7^{7} \cdot 2383 \) |
$2.31491$ |
$(-2a+1), (-3a+1), (54a-41)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.106057211$ |
2.431865396 |
\( \frac{5539183966613}{5887508907} a + \frac{646416520349}{5887508907} \) |
\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 7 a - 9\) , \( -9 a + 14\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(7a-9\right){x}-9a+14$ |
| 50043.3-a1 |
50043.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50043.3 |
\( 3 \cdot 7 \cdot 2383 \) |
\( 3^{2} \cdot 7 \cdot 2383 \) |
$2.31491$ |
$(-2a+1), (3a-2), (-54a+13)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$0.069830600$ |
$5.096553896$ |
3.287621036 |
\( \frac{4882432}{50043} a + \frac{75825152}{50043} \) |
\( \bigl[0\) , \( a\) , \( a + 1\) , \( a + 1\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(a+1\right){x}$ |
| 50043.3-b1 |
50043.3-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50043.3 |
\( 3 \cdot 7 \cdot 2383 \) |
\( 3 \cdot 7^{7} \cdot 2383 \) |
$2.31491$ |
$(-2a+1), (3a-2), (-54a+13)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.106057211$ |
2.431865396 |
\( -\frac{5539183966613}{5887508907} a + \frac{6185600486962}{5887508907} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 9 a - 8\) , \( 8 a + 6\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(9a-8\right){x}+8a+6$ |
| 50052.1-a1 |
50052.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.1 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{4} \cdot 3^{5} \cdot 43^{3} \cdot 97^{4} \) |
$2.31502$ |
$(-2a+1), (-7a+1), (-11a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.597249000$ |
2.068931227 |
\( \frac{3642965880419332}{190044833700609} a - \frac{37263435726089087}{760179334802436} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 23 a - 47\) , \( -387 a + 725\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(23a-47\right){x}-387a+725$ |
| 50052.1-a2 |
50052.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.1 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{2} \cdot 3^{10} \cdot 43^{6} \cdot 97^{2} \) |
$2.31502$ |
$(-2a+1), (-7a+1), (-11a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.298624500$ |
2.068931227 |
\( -\frac{326779733064320576764}{14453082297513963} a + \frac{791609358879818344421}{28906164595027926} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -1097 a + 523\) , \( -9495 a + 11745\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-1097a+523\right){x}-9495a+11745$ |
| 50052.1-b1 |
50052.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.1 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{8} \cdot 3^{2} \cdot 43 \cdot 97 \) |
$2.31502$ |
$(-2a+1), (-7a+1), (-11a+3), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \) |
$0.056004196$ |
$3.566702939$ |
3.690429034 |
\( -\frac{20358375}{66736} a + \frac{447346123}{200208} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -5 a - 1\) , \( -2 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-5a-1\right){x}-2a+1$ |
| 50052.2-a1 |
50052.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.2 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{4} \cdot 3 \cdot 43 \cdot 97 \) |
$2.31502$ |
$(-2a+1), (-7a+1), (-11a+8), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.590095181$ |
$4.926772050$ |
3.357019820 |
\( \frac{69663839}{50052} a - \frac{3150760}{12513} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 2 a - 1\) , \( 2 a - 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(2a-1\right){x}+2a-1$ |
| 50052.2-a2 |
50052.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.2 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{2} \cdot 3^{2} \cdot 43^{2} \cdot 97^{2} \) |
$2.31502$ |
$(-2a+1), (-7a+1), (-11a+8), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.295047590$ |
$2.463386025$ |
3.357019820 |
\( -\frac{98539115689}{34794482} a + \frac{281765563003}{104383446} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -8 a - 1\) , \( 6 a - 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-8a-1\right){x}+6a-1$ |
| 50052.3-a1 |
50052.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.3 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{2} \cdot 3^{2} \cdot 43^{2} \cdot 97^{2} \) |
$2.31502$ |
$(-2a+1), (7a-6), (-11a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.295047590$ |
$2.463386025$ |
3.357019820 |
\( \frac{98539115689}{34794482} a - \frac{6925892032}{52191723} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -8 a\) , \( -14 a + 14\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}-8a{x}-14a+14$ |
| 50052.3-a2 |
50052.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.3 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{4} \cdot 3 \cdot 43 \cdot 97 \) |
$2.31502$ |
$(-2a+1), (7a-6), (-11a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.590095181$ |
$4.926772050$ |
3.357019820 |
\( -\frac{69663839}{50052} a + \frac{57060799}{50052} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 2 a\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+2a{x}$ |
| 50052.4-a1 |
50052.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.4 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{4} \cdot 3^{5} \cdot 43^{3} \cdot 97^{4} \) |
$2.31502$ |
$(-2a+1), (7a-6), (-11a+8), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.597249000$ |
2.068931227 |
\( -\frac{3642965880419332}{190044833700609} a - \frac{22691572204411759}{760179334802436} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( 46 a - 23\) , \( 387 a + 338\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(46a-23\right){x}+387a+338$ |
| 50052.4-a2 |
50052.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.4 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{2} \cdot 3^{10} \cdot 43^{6} \cdot 97^{2} \) |
$2.31502$ |
$(-2a+1), (7a-6), (-11a+8), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.298624500$ |
2.068931227 |
\( \frac{326779733064320576764}{14453082297513963} a + \frac{46016630917059063631}{9635388198342642} \) |
\( \bigl[a\) , \( -a\) , \( 1\) , \( -524 a + 1097\) , \( 9495 a + 2250\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-524a+1097\right){x}+9495a+2250$ |
| 50052.4-b1 |
50052.4-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50052.4 |
\( 2^{2} \cdot 3 \cdot 43 \cdot 97 \) |
\( 2^{8} \cdot 3^{2} \cdot 43 \cdot 97 \) |
$2.31502$ |
$(-2a+1), (7a-6), (-11a+8), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2^{3} \) |
$0.056004196$ |
$3.566702939$ |
3.690429034 |
\( \frac{20358375}{66736} a + \frac{193135499}{100104} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -5 a + 1\) , \( a\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-5a+1\right){x}+a$ |
| 50092.2-a1 |
50092.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50092.2 |
\( 2^{2} \cdot 7 \cdot 1789 \) |
\( 2^{10} \cdot 7^{5} \cdot 1789 \) |
$2.31548$ |
$(-3a+1), (-47a+35), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$0.729502657$ |
$1.738745959$ |
2.929290047 |
\( -\frac{2145256103629}{481083568} a + \frac{623622820749}{962167136} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 2 a + 17\) , \( -41 a + 29\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a+17\right){x}-41a+29$ |
| 50092.2-a2 |
50092.2-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50092.2 |
\( 2^{2} \cdot 7 \cdot 1789 \) |
\( 2^{2} \cdot 7 \cdot 1789^{5} \) |
$2.31548$ |
$(-3a+1), (-47a+35), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.2 |
$1$ |
\( 1 \) |
$3.647513287$ |
$0.347749191$ |
2.929290047 |
\( -\frac{14243946298195820918021}{128277280090455643} a + \frac{36460775079559219837621}{256554560180911286} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -128 a - 873\) , \( 2201 a + 9553\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-128a-873\right){x}+2201a+9553$ |
| 50092.3-a1 |
50092.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50092.3 |
\( 2^{2} \cdot 7 \cdot 1789 \) |
\( 2^{10} \cdot 7^{5} \cdot 1789 \) |
$2.31548$ |
$(3a-2), (-47a+12), (2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$0.729502657$ |
$1.738745959$ |
2.929290047 |
\( \frac{2145256103629}{481083568} a - \frac{3666889386509}{962167136} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -4 a + 21\) , \( 40 a - 11\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-4a+21\right){x}+40a-11$ |
| 50092.3-a2 |
50092.3-a |
$2$ |
$5$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50092.3 |
\( 2^{2} \cdot 7 \cdot 1789 \) |
\( 2^{2} \cdot 7 \cdot 1789^{5} \) |
$2.31548$ |
$(3a-2), (-47a+12), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$5$ |
5B.1.2 |
$1$ |
\( 1 \) |
$3.647513287$ |
$0.347749191$ |
2.929290047 |
\( \frac{14243946298195820918021}{128277280090455643} a + \frac{7972882483167578001579}{256554560180911286} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 126 a - 999\) , \( -2202 a + 11755\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(126a-999\right){x}-2202a+11755$ |
| 50148.2-a1 |
50148.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50148.2 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 199 \) |
\( 2^{40} \cdot 3^{6} \cdot 7^{7} \cdot 199 \) |
$2.31613$ |
$(-2a+1), (-3a+1), (15a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 7 \) |
$0.634193396$ |
$0.158859573$ |
3.257335608 |
\( -\frac{24461884245440079}{21480742191104} a - \frac{135866875513488093}{171845937528832} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -1282 a - 733\) , \( -34524 a - 9044\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1282a-733\right){x}-34524a-9044$ |
| 50148.3-a1 |
50148.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50148.3 |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 199 \) |
\( 2^{40} \cdot 3^{6} \cdot 7^{7} \cdot 199 \) |
$2.31613$ |
$(-2a+1), (3a-2), (15a-13), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 7 \) |
$0.634193396$ |
$0.158859573$ |
3.257335608 |
\( \frac{24461884245440079}{21480742191104} a - \frac{331561949477008725}{171845937528832} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 733 a + 1281\) , \( 34523 a - 43567\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(733a+1281\right){x}+34523a-43567$ |
| 50151.2-a1 |
50151.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50151.2 |
\( 3 \cdot 73 \cdot 229 \) |
\( 3 \cdot 73 \cdot 229 \) |
$2.31616$ |
$(-2a+1), (-9a+1), (17a-12)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.528663373$ |
2.919848958 |
\( \frac{1492469845382}{50151} a - \frac{555049583017}{50151} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 35 a + 5\) , \( -5 a + 94\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(35a+5\right){x}-5a+94$ |
| 50151.3-a1 |
50151.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50151.3 |
\( 3 \cdot 73 \cdot 229 \) |
\( 3 \cdot 73 \cdot 229 \) |
$2.31616$ |
$(-2a+1), (9a-8), (-17a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$2.528663373$ |
2.919848958 |
\( -\frac{1492469845382}{50151} a + \frac{937420262365}{50151} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -35 a + 40\) , \( 5 a + 89\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-35a+40\right){x}+5a+89$ |
| 50169.1-a1 |
50169.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.1 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{5} \cdot 7 \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (-3a+1), (-52a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$2.132413366$ |
0.615574715 |
\( \frac{1916009925695}{451521} a - \frac{1682996713504}{451521} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 3 a - 43\) , \( 8 a - 120\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(3a-43\right){x}+8a-120$ |
| 50169.1-a2 |
50169.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.1 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{20} \cdot 7^{4} \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (-3a+1), (-52a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.533103341$ |
0.615574715 |
\( \frac{2401313482795655}{338704414461} a - \frac{1864154498738708}{112901471487} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -262 a - 3\) , \( 1918 a - 995\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-262a-3\right){x}+1918a-995$ |
| 50169.1-a3 |
50169.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.1 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{5} \cdot 7 \cdot 2389^{4} \) |
$2.31637$ |
$(-2a+1), (-3a+1), (-52a+7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.533103341$ |
0.615574715 |
\( \frac{19786098601323109225}{6156393956440749} a - \frac{11931852512406986228}{6156393956440749} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 178 a + 7\) , \( -192 a - 909\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(178a+7\right){x}-192a-909$ |
| 50169.1-a4 |
50169.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.1 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{10} \cdot 7^{2} \cdot 2389^{2} \) |
$2.31637$ |
$(-2a+1), (-3a+1), (-52a+7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.066206683$ |
0.615574715 |
\( -\frac{125434282833925}{67957071147} a + \frac{34971011224141}{67957071147} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -2 a - 38\) , \( 33 a - 144\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-2a-38\right){x}+33a-144$ |
| 50169.2-a1 |
50169.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.2 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3 \cdot 7 \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (-3a+1), (52a-45)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$3.070448839$ |
3.545448928 |
\( -\frac{183108861952}{50169} a - \frac{37532827648}{50169} \) |
\( \bigl[0\) , \( a - 1\) , \( a\) , \( 23 a - 12\) , \( 25 a + 6\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(23a-12\right){x}+25a+6$ |
| 50169.3-a1 |
50169.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.3 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3 \cdot 7 \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (3a-2), (-52a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$3.070448839$ |
3.545448928 |
\( \frac{183108861952}{50169} a - \frac{220641689600}{50169} \) |
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( -23 a + 11\) , \( -26 a + 31\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-23a+11\right){x}-26a+31$ |
| 50169.4-a1 |
50169.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.4 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{20} \cdot 7^{4} \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (3a-2), (52a-45)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.533103341$ |
0.615574715 |
\( -\frac{2401313482795655}{338704414461} a - \frac{3191150013420469}{338704414461} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 3 a + 262\) , \( -1918 a + 923\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a+262\right){x}-1918a+923$ |
| 50169.4-a2 |
50169.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.4 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{10} \cdot 7^{2} \cdot 2389^{2} \) |
$2.31637$ |
$(-2a+1), (3a-2), (52a-45)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.066206683$ |
0.615574715 |
\( \frac{125434282833925}{67957071147} a - \frac{30154423869928}{22652357049} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 38 a + 2\) , \( -33 a - 111\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(38a+2\right){x}-33a-111$ |
| 50169.4-a3 |
50169.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.4 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{5} \cdot 7 \cdot 2389^{4} \) |
$2.31637$ |
$(-2a+1), (3a-2), (52a-45)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.533103341$ |
0.615574715 |
\( -\frac{19786098601323109225}{6156393956440749} a + \frac{7854246088916122997}{6156393956440749} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -7 a - 178\) , \( 192 a - 1101\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-178\right){x}+192a-1101$ |
| 50169.4-a4 |
50169.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50169.4 |
\( 3 \cdot 7 \cdot 2389 \) |
\( 3^{5} \cdot 7 \cdot 2389 \) |
$2.31637$ |
$(-2a+1), (3a-2), (52a-45)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$2.132413366$ |
0.615574715 |
\( -\frac{1916009925695}{451521} a + \frac{233013212191}{451521} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 43 a - 3\) , \( -8 a - 112\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(43a-3\right){x}-8a-112$ |
| 50176.1-a1 |
50176.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{2} \) |
$2.31645$ |
$(-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.205790323$ |
$1.821159424$ |
1.731020757 |
\( -41472 a + 207360 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a + 40\) , \( 86 a - 39\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a+40\right){x}+86a-39$ |
| 50176.1-b1 |
50176.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{8} \) |
$2.31645$ |
$(-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.735548340$ |
$0.688333562$ |
2.338511582 |
\( -41472 a + 207360 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -295 a + 136\) , \( 1526 a - 1863\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-295a+136\right){x}+1526a-1863$ |
| 50176.1-c1 |
50176.1-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{8} \) |
$2.31645$ |
$(-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \cdot 3 \) |
$0.186253744$ |
$0.928294887$ |
2.395750485 |
\( 1536 a - 512 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 3 a - 51\) , \( -96 a - 107\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(3a-51\right){x}-96a-107$ |
| 50176.1-d1 |
50176.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{10} \) |
$2.31645$ |
$(-3a+1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$0.645341735$ |
1.490352899 |
\( -2560 a - 1536 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -104 a + 147\) , \( -216 a - 571\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-104a+147\right){x}-216a-571$ |
| 50176.1-e1 |
50176.1-e |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{4} \) |
$2.31645$ |
$(-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.385920999$ |
$1.707413743$ |
3.043452607 |
\( -2560 a - 1536 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -21 a + 13\) , \( 24 a - 35\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-21a+13\right){x}+24a-35$ |
| 50176.1-f1 |
50176.1-f |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{2} \) |
$2.31645$ |
$(-3a+1), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.297063304$ |
$2.456037416$ |
3.369871547 |
\( 1536 a - 512 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 5 a - 8\) , \( 8 a - 11\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-8\right){x}+8a-11$ |
| 50176.1-g1 |
50176.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{7} \) |
$2.31645$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.931157473$ |
1.075208035 |
\( \frac{4988952}{7} a - \frac{14502672}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -192 a - 8\) , \( -1360 a + 620\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-192a-8\right){x}-1360a+620$ |
| 50176.1-g2 |
50176.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{7} \) |
$2.31645$ |
$(-3a+1), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.931157473$ |
1.075208035 |
\( \frac{150336}{7} a - \frac{245376}{7} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -107 a + 92\) , \( 46 a - 369\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-107a+92\right){x}+46a-369$ |
| 50176.1-g3 |
50176.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{10} \) |
$2.31645$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.931157473$ |
1.075208035 |
\( \frac{6668568}{2401} a - \frac{136512}{2401} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 68 a - 48\) , \( -164 a + 44\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(68a-48\right){x}-164a+44$ |
| 50176.1-g4 |
50176.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
50176.1 |
\( 2^{10} \cdot 7^{2} \) |
\( 2^{12} \cdot 7^{8} \) |
$2.31645$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.862314946$ |
1.075208035 |
\( -\frac{67392}{49} a + \frac{57024}{49} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -12 a + 2\) , \( -28 a + 8\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-12a+2\right){x}-28a+8$ |
*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.
