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 |
62.a1 |
62a4 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.108078$ |
$3999236143617/62$ |
$1.07559$ |
$7.03082$ |
$[1, -1, 1, -331, 2397]$ |
\(y^2+xy+y=x^3-x^2-331x+2397\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 124.12.0.?, 248.48.0.? |
$[]$ |
62.a2 |
62a3 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2 \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.58 |
2B |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.108078$ |
$3196010817/1847042$ |
$1.17908$ |
$5.30275$ |
$[1, -1, 1, -31, 5]$ |
\(y^2+xy+y=x^3-x^2-31x+5\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 248.48.0.? |
$[]$ |
62.a3 |
62a2 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.454651$ |
$979146657/3844$ |
$1.02504$ |
$5.01612$ |
$[1, -1, 1, -21, 41]$ |
\(y^2+xy+y=x^3-x^2-21x+41\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.? |
$[]$ |
62.a4 |
62a1 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( - 2^{4} \cdot 31 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.801225$ |
$-35937/496$ |
$0.93090$ |
$3.32007$ |
$[1, -1, 1, -1, 1]$ |
\(y^2+xy+y=x^3-x^2-x+1\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 62.6.0.b.1, 124.24.0.?, $\ldots$ |
$[]$ |