| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 310.a1 |
310b4 |
310.a |
310b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 5^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$0.651746071$ |
$1$ |
|
$4$ |
$576$ |
$0.929222$ |
$947226559343329/443751840500$ |
$0.99256$ |
$6.01135$ |
$1$ |
$[1, 0, 0, -2046, 15376]$ |
\(y^2+xy=x^3-2046x+15376\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 10.6.0.a.1, 30.48.0-30.a.1.2, $\ldots$ |
$[(0, 124)]$ |
$1$ |
| 310.a2 |
310b2 |
310.a |
310b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 31 \) |
\( 2^{6} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$1.955238214$ |
$1$ |
|
$10$ |
$192$ |
$0.379916$ |
$549131937598369/307520$ |
$0.96644$ |
$5.91631$ |
$1$ |
$[1, 0, 0, -1706, 26980]$ |
\(y^2+xy=x^3-1706x+26980\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 10.6.0.a.1, 30.48.0-30.a.1.4, $\ldots$ |
$[(36, 94)]$ |
$1$ |
| 310.a3 |
310b1 |
310.a |
310b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1860$ |
$96$ |
$1$ |
$0.977619107$ |
$1$ |
|
$17$ |
$96$ |
$0.033342$ |
$-131794519969/3174400$ |
$0.90964$ |
$4.47049$ |
$1$ |
$[1, 0, 0, -106, 420]$ |
\(y^2+xy=x^3-106x+420\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 20.6.0.c.1, 60.48.0-60.q.1.16, $\ldots$ |
$[(6, 0)]$ |
$1$ |
| 310.a4 |
310b3 |
310.a |
310b |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 31 \) |
\( - 2^{4} \cdot 5^{6} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1860$ |
$96$ |
$1$ |
$0.325873035$ |
$1$ |
|
$9$ |
$288$ |
$0.582648$ |
$10347405816671/7447750000$ |
$0.97053$ |
$5.22398$ |
$1$ |
$[1, 0, 0, 454, 1876]$ |
\(y^2+xy=x^3+454x+1876\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 20.6.0.c.1, 60.48.0-60.q.1.15, $\ldots$ |
$[(-2, 32)]$ |
$1$ |
| 310.b1 |
310a2 |
310.b |
310a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 31 \) |
\( 2^{3} \cdot 5^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.284939$ |
$133974081659809/192200$ |
$0.95835$ |
$5.67040$ |
$1$ |
$[1, 1, 1, -1066, -13841]$ |
\(y^2+xy+y=x^3+x^2-1066x-13841\) |
2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.? |
$[ ]$ |
$1$ |
| 310.b2 |
310a1 |
310.b |
310a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 31 \) |
\( - 2^{6} \cdot 5^{4} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$-0.061634$ |
$-31824875809/1240000$ |
$0.89741$ |
$4.22703$ |
$1$ |
$[1, 1, 1, -66, -241]$ |
\(y^2+xy+y=x^3+x^2-66x-241\) |
2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.? |
$[ ]$ |
$1$ |
