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 |
30446.i1 |
30446m1 |
30446.i |
30446m |
$1$ |
$1$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( - 2^{8} \cdot 13^{5} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$30446$ |
$2$ |
$0$ |
$0.399893210$ |
$1$ |
|
$20$ |
$48000$ |
$0.798531$ |
$-6570725617/111304730368$ |
$0.92903$ |
$3.18590$ |
$[1, 0, 0, -39, -16055]$ |
\(y^2+xy=x^3-39x-16055\) |
30446.2.0.? |
$[(78, 637), (143/2, 1209/2)]$ |
243568.r1 |
243568r1 |
243568.r |
243568r |
$1$ |
$1$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( - 2^{20} \cdot 13^{5} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$1.313830090$ |
$1$ |
|
$2$ |
$1152000$ |
$1.491678$ |
$-6570725617/111304730368$ |
$0.92903$ |
$3.32239$ |
$[0, -1, 0, -624, 1027520]$ |
\(y^2=x^3-x^2-624x+1027520\) |
30446.2.0.? |
$[(26, 1014)]$ |
274014.h1 |
274014h1 |
274014.h |
274014h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{5} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$1.117381959$ |
$1$ |
|
$10$ |
$1152000$ |
$1.347837$ |
$-6570725617/111304730368$ |
$0.92903$ |
$3.15328$ |
$[1, -1, 0, -351, 433485]$ |
\(y^2+xy=x^3-x^2-351x+433485\) |
30446.2.0.? |
$[(78, 897), (-1794/5, 40989/5)]$ |
395798.a1 |
395798a1 |
395798.a |
395798a |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{8} \cdot 13^{11} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064000$ |
$2.081005$ |
$-6570725617/111304730368$ |
$0.92903$ |
$3.74593$ |
$[1, 0, 1, -6595, -35266242]$ |
\(y^2+xy+y=x^3-6595x-35266242\) |
30446.2.0.? |
$[]$ |