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.ci1 |
112710ch1 |
112710.ci |
112710ch |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5849088$ |
$2.543377$ |
$3305951312273/788486400$ |
$1.01839$ |
$4.67013$ |
$[1, 1, 1, -1524770, 555003695]$ |
\(y^2+xy+y=x^3+x^2-1524770x+555003695\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? |
$[]$ |
112710.cm1 |
112710cs1 |
112710.cm |
112710cs |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.253773651$ |
$1$ |
|
$39$ |
$344064$ |
$1.126772$ |
$3305951312273/788486400$ |
$1.01839$ |
$3.20878$ |
$[1, 0, 0, -5276, 112656]$ |
\(y^2+xy=x^3-5276x+112656\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? |
$[(76, 352), (16, 172)]$ |
338130.t1 |
338130t1 |
338130.t |
338130t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$5.598206855$ |
$1$ |
|
$3$ |
$46792704$ |
$3.092686$ |
$3305951312273/788486400$ |
$1.01839$ |
$4.78489$ |
$[1, -1, 0, -13722930, -14998822700]$ |
\(y^2+xy=x^3-x^2-13722930x-14998822700\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? |
$[(4505, 118550)]$ |
338130.bh1 |
338130bh1 |
338130.bh |
338130bh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$1.676077$ |
$3305951312273/788486400$ |
$1.01839$ |
$3.44964$ |
$[1, -1, 0, -47484, -3041712]$ |
\(y^2+xy=x^3-x^2-47484x-3041712\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? |
$[]$ |