| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 7293.a1 |
7293b1 |
7293.a |
7293b |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 3^{15} \cdot 11 \cdot 13^{2} \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$58.89928252$ |
$1$ |
|
$1$ |
$2956800$ |
$3.996521$ |
$8131755985964161964448308988625/4491414222168968491132426977$ |
$1.05669$ |
$8.00180$ |
$[1, 1, 1, -418941653, 704412075314]$ |
\(y^2+xy+y=x^3+x^2-418941653x+704412075314\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(118938349138527310465040038/47211673677, 1198368985909234986230114814189998023805/47211673677)]$ |
| 7293.a2 |
7293b2 |
7293.a |
7293b |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 3^{30} \cdot 11^{2} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$29.44964126$ |
$1$ |
|
$0$ |
$5913600$ |
$4.343094$ |
$481375691534989591168533139109375/291970430882721534414299079537$ |
$1.08859$ |
$8.46059$ |
$[1, 1, 1, 1632751712, 5569387382402]$ |
\(y^2+xy+y=x^3+x^2+1632751712x+5569387382402\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(38265409929178/13647, 241054466078032812002/13647)]$ |
| 7293.b1 |
7293c3 |
7293.b |
7293c |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 3^{3} \cdot 11^{4} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$0.915855817$ |
$1$ |
|
$6$ |
$15360$ |
$1.365198$ |
$8218157522273610913/3262914972603$ |
$0.94925$ |
$4.89651$ |
$[1, 0, 0, -42042, -3320343]$ |
\(y^2+xy=x^3-42042x-3320343\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 1144.24.0.?, 3432.48.0.? |
$[(-117, 78)]$ |
| 7293.b2 |
7293c4 |
7293.b |
7293c |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 3^{3} \cdot 11 \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$3.663423268$ |
$1$ |
|
$2$ |
$15360$ |
$1.365198$ |
$1231708064988053953/26933399479701$ |
$1.02282$ |
$4.68313$ |
$[1, 0, 0, -22332, 1258155]$ |
\(y^2+xy=x^3-22332x+1258155\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[(102, 159)]$ |
| 7293.b3 |
7293c2 |
7293.b |
7293c |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 3^{6} \cdot 11^{2} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$1.831711634$ |
$1$ |
|
$8$ |
$7680$ |
$1.018623$ |
$3067396672113073/1245074357241$ |
$0.96142$ |
$4.00910$ |
$[1, 0, 0, -3027, -35280]$ |
\(y^2+xy=x^3-3027x-35280\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 572.24.0.?, 1716.48.0.? |
$[(-15, 90)]$ |
| 7293.b4 |
7293c1 |
7293.b |
7293c |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 3^{12} \cdot 11 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$3.663423268$ |
$1$ |
|
$5$ |
$3840$ |
$0.672050$ |
$26100282937247/21962862207$ |
$0.89496$ |
$3.47320$ |
$[1, 0, 0, 618, -3933]$ |
\(y^2+xy=x^3+618x-3933\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 286.6.0.?, 572.24.0.?, $\ldots$ |
$[(231, 3417)]$ |
| 7293.c1 |
7293a1 |
7293.c |
7293a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.314158222$ |
$1$ |
|
$3$ |
$1536$ |
$0.006464$ |
$149298747625/1611753$ |
$0.82946$ |
$2.89266$ |
$[1, 1, 0, -110, -489]$ |
\(y^2+xy=x^3+x^2-110x-489\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(30, 141)]$ |
| 7293.c2 |
7293a2 |
7293.c |
7293a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 3^{2} \cdot 11^{2} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.157079111$ |
$1$ |
|
$4$ |
$3072$ |
$0.353038$ |
$-1838265625/528749793$ |
$1.02334$ |
$3.09655$ |
$[1, 1, 0, -25, -1118]$ |
\(y^2+xy=x^3+x^2-25x-1118\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(14, 32)]$ |
