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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
30446.c1 |
30446a1 |
30446.c |
30446a |
$1$ |
$1$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( 2^{4} \cdot 13^{2} \cdot 1171 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4684$ |
$2$ |
$0$ |
$0.673965740$ |
$1$ |
|
$34$ |
$9856$ |
$-0.058079$ |
$6826561273/3166384$ |
$[1, 1, 0, -39, -59]$ |
\(y^2+xy=x^3+x^2-39x-59\) |
4684.2.0.? |
$[(-3, 8), (10, 21), (-5, 9)]$ |
243568.k1 |
243568k1 |
243568.k |
243568k |
$1$ |
$1$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( 2^{16} \cdot 13^{2} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$2.145232749$ |
$1$ |
|
$2$ |
$236544$ |
$0.635069$ |
$6826561273/3166384$ |
$[0, 1, 0, -632, 2516]$ |
\(y^2=x^3+x^2-632x+2516\) |
4684.2.0.? |
$[(23, 26)]$ |
274014.s1 |
274014s1 |
274014.s |
274014s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{2} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1.302547290$ |
$1$ |
|
$2$ |
$295680$ |
$0.491227$ |
$6826561273/3166384$ |
$[1, -1, 1, -356, 1239]$ |
\(y^2+xy+y=x^3-x^2-356x+1239\) |
4684.2.0.? |
$[(21, 41)]$ |
395798.q1 |
395798q1 |
395798.q |
395798q |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{4} \cdot 13^{8} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1655808$ |
$1.224396$ |
$6826561273/3166384$ |
$[1, 1, 1, -6679, -96387]$ |
\(y^2+xy+y=x^3+x^2-6679x-96387\) |
4684.2.0.? |
$[]$ |