| 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 |
| 462462.bc1 |
462462bc1 |
462462.bc |
462462bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{37} \cdot 3^{8} \cdot 7^{8} \cdot 11^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4726149120$ |
$5.320175$ |
$1138013177660908404625/152393548560334848$ |
$1.03764$ |
$6.74852$ |
$[1, 1, 0, -115445829930, -13236321467612844]$ |
\(y^2+xy=x^3+x^2-115445829930x-13236321467612844\) |
8.2.0.b.1 |
$[ ]$ |
| 462462.ee1 |
462462ee1 |
462462.ee |
462462ee |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{37} \cdot 3^{8} \cdot 7^{2} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$11.60691352$ |
$1$ |
|
$0$ |
$675164160$ |
$4.347221$ |
$1138013177660908404625/152393548560334848$ |
$1.03764$ |
$5.85346$ |
$[1, 0, 1, -2356037346, 38589521929396]$ |
\(y^2+xy+y=x^3-2356037346x+38589521929396\) |
8.2.0.b.1 |
$[(365020/3, 83756189/3)]$ |
| 462462.gj1 |
462462gj1 |
462462.gj |
462462gj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{37} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.405217535$ |
$1$ |
|
$22$ |
$429649920$ |
$4.121231$ |
$1138013177660908404625/152393548560334848$ |
$1.03764$ |
$5.64556$ |
$[1, 1, 1, -954097768, 9944210547305]$ |
\(y^2+xy+y=x^3+x^2-954097768x+9944210547305\) |
8.2.0.b.1 |
$[(-26587, 4077549), (5165, 2267685)]$ |
| 462462.jo1 |
462462jo1 |
462462.jo |
462462jo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{37} \cdot 3^{8} \cdot 7^{2} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.143569089$ |
$1$ |
|
$10$ |
$61378560$ |
$3.148273$ |
$1138013177660908404625/152393548560334848$ |
$1.03764$ |
$4.75049$ |
$[1, 0, 0, -19471383, -28994649111]$ |
\(y^2+xy=x^3-19471383x-28994649111\) |
8.2.0.b.1 |
$[(-3114, 39573)]$ |
