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 |
112710.cf1 |
112710cg2 |
112710.cf |
112710cg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1114112$ |
$1.924065$ |
$30870492353/50700$ |
$0.87801$ |
$4.26836$ |
$[1, 1, 1, -321085, 69795815]$ |
\(y^2+xy+y=x^3+x^2-321085x+69795815\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[]$ |
112710.cp1 |
112710cq2 |
112710.cp |
112710cq |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65536$ |
$0.507458$ |
$30870492353/50700$ |
$0.87801$ |
$2.80701$ |
$[1, 0, 0, -1111, 14141]$ |
\(y^2+xy=x^3-1111x+14141\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[]$ |
338130.s1 |
338130s2 |
338130.s |
338130s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$3.316722659$ |
$1$ |
|
$4$ |
$8912896$ |
$2.473370$ |
$30870492353/50700$ |
$0.87801$ |
$4.41779$ |
$[1, -1, 0, -2889765, -1887376775]$ |
\(y^2+xy=x^3-x^2-2889765x-1887376775\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(-982, 2129)]$ |
338130.bj1 |
338130bj2 |
338130.bj |
338130bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$3.149894115$ |
$1$ |
|
$16$ |
$524288$ |
$1.056763$ |
$30870492353/50700$ |
$0.87801$ |
$3.08254$ |
$[1, -1, 0, -9999, -381807]$ |
\(y^2+xy=x^3-x^2-9999x-381807\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(-56, 15), (-57, 6)]$ |