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 |
25751.a1 |
25751a1 |
25751.a |
25751a |
$1$ |
$1$ |
\( 11 \cdot 2341 \) |
\( - 11^{2} \cdot 2341 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$9364$ |
$2$ |
$0$ |
$0.705951665$ |
$1$ |
|
$26$ |
$3456$ |
$-0.188021$ |
$-6570725617/283261$ |
$0.77630$ |
$2.23289$ |
$[1, 0, 0, -39, 94]$ |
\(y^2+xy=x^3-39x+94\) |
9364.2.0.? |
$[(5, 3), (-6, 14), (-1, 12)]$ |
231759.a1 |
231759a1 |
231759.a |
231759a |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 2341 \) |
\( - 3^{6} \cdot 11^{2} \cdot 2341 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9364$ |
$2$ |
$0$ |
$3.486055639$ |
$1$ |
|
$2$ |
$82944$ |
$0.361285$ |
$-6570725617/283261$ |
$0.77630$ |
$2.36933$ |
$[1, -1, 0, -351, -2538]$ |
\(y^2+xy=x^3-x^2-351x-2538\) |
9364.2.0.? |
$[(22, -6)]$ |
283261.a1 |
283261a1 |
283261.a |
283261a |
$1$ |
$1$ |
\( 11^{2} \cdot 2341 \) |
\( - 11^{8} \cdot 2341 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9364$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$414720$ |
$1.010927$ |
$-6570725617/283261$ |
$0.77630$ |
$2.95243$ |
$[1, 0, 1, -4722, -129835]$ |
\(y^2+xy+y=x^3-4722x-129835\) |
9364.2.0.? |
$[]$ |
412016.c1 |
412016c1 |
412016.c |
412016c |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 2341 \) |
\( - 2^{12} \cdot 11^{2} \cdot 2341 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9364$ |
$2$ |
$0$ |
$5.709723235$ |
$1$ |
|
$0$ |
$221184$ |
$0.505126$ |
$-6570725617/283261$ |
$0.77630$ |
$2.39740$ |
$[0, -1, 0, -624, -6016]$ |
\(y^2=x^3-x^2-624x-6016\) |
9364.2.0.? |
$[(245/2, 3411/2)]$ |