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.ce1 |
112710ce1 |
112710.ce |
112710ce |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$151200$ |
$0.813485$ |
$2013714719/1421550$ |
$0.90070$ |
$2.81589$ |
$[1, 1, 1, 1150, 7517]$ |
\(y^2+xy+y=x^3+x^2+1150x+7517\) |
312.2.0.? |
$[]$ |
112710.cq1 |
112710cn1 |
112710.cq |
112710cn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$5.659015888$ |
$1$ |
|
$0$ |
$2570400$ |
$2.230091$ |
$2013714719/1421550$ |
$0.90070$ |
$4.27725$ |
$[1, 0, 0, 332344, 34605486]$ |
\(y^2+xy=x^3+332344x+34605486\) |
312.2.0.? |
$[(1039/2, 93101/2)]$ |
338130.d1 |
338130d1 |
338130.d |
338130d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$3.284415528$ |
$1$ |
|
$2$ |
$1209600$ |
$1.362791$ |
$2013714719/1421550$ |
$0.90070$ |
$3.09066$ |
$[1, -1, 0, 10350, -192614]$ |
\(y^2+xy=x^3-x^2+10350x-192614\) |
312.2.0.? |
$[(113, 1496)]$ |
338130.bz1 |
338130bz1 |
338130.bz |
338130bz |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{2} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$13.06076807$ |
$1$ |
|
$0$ |
$20563200$ |
$2.779400$ |
$2013714719/1421550$ |
$0.90070$ |
$4.42591$ |
$[1, -1, 0, 2991096, -934348122]$ |
\(y^2+xy=x^3-x^2+2991096x-934348122\) |
312.2.0.? |
$[(20414643/37, 92463988632/37)]$ |