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.ci2 |
112710ch2 |
112710.ci |
112710ch |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 13 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11698176$ |
$2.889954$ |
$42959580557167/69087330000$ |
$1.04569$ |
$4.94011$ |
$[1, 1, 1, 3584750, 3485824367]$ |
\(y^2+xy+y=x^3+x^2+3584750x+3485824367\) |
2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
112710.cm2 |
112710cs2 |
112710.cm |
112710cs |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 13 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.015094605$ |
$1$ |
|
$18$ |
$688128$ |
$1.473345$ |
$42959580557167/69087330000$ |
$1.04569$ |
$3.47876$ |
$[1, 0, 0, 12404, 710240]$ |
\(y^2+xy=x^3+12404x+710240\) |
2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? |
$[(8, 896), (-10, 770)]$ |
338130.t2 |
338130t2 |
338130.t |
338130t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 13 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$11.19641371$ |
$1$ |
|
$0$ |
$93585408$ |
$3.439259$ |
$42959580557167/69087330000$ |
$1.04569$ |
$5.03157$ |
$[1, -1, 0, 32262750, -94084995164]$ |
\(y^2+xy=x^3-x^2+32262750x-94084995164\) |
2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? |
$[(142137/7, 52532458/7)]$ |
338130.bh2 |
338130bh2 |
338130.bh |
338130bh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 13 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5505024$ |
$2.022652$ |
$42959580557167/69087330000$ |
$1.04569$ |
$3.69633$ |
$[1, -1, 0, 111636, -19176480]$ |
\(y^2+xy=x^3-x^2+111636x-19176480\) |
2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |