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 |
95550.cw1 |
95550bv1 |
95550.cw |
95550bv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$6.176525836$ |
$1$ |
|
$0$ |
$127008$ |
$0.788043$ |
$1551349793665/14556672$ |
$0.93224$ |
$3.06790$ |
$[1, 1, 0, -2580, -51120]$ |
\(y^2+xy=x^3+x^2-2580x-51120\) |
312.2.0.? |
$[(-689/5, 1844/5)]$ |
95550.ft1 |
95550dc1 |
95550.ft |
95550dc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$889056$ |
$1.760998$ |
$1551349793665/14556672$ |
$0.93224$ |
$4.08604$ |
$[1, 0, 1, -126446, 17154848]$ |
\(y^2+xy+y=x^3-126446x+17154848\) |
312.2.0.? |
$[]$ |
95550.ip1 |
95550hr1 |
95550.ip |
95550hr |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4445280$ |
$2.565716$ |
$1551349793665/14556672$ |
$0.93224$ |
$4.92814$ |
$[1, 1, 1, -3161138, 2144356031]$ |
\(y^2+xy+y=x^3+x^2-3161138x+2144356031\) |
312.2.0.? |
$[]$ |
95550.le1 |
95550kx1 |
95550.le |
95550kx |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.249585936$ |
$1$ |
|
$8$ |
$635040$ |
$1.592762$ |
$1551349793665/14556672$ |
$0.93224$ |
$3.90999$ |
$[1, 0, 0, -64513, -6260983]$ |
\(y^2+xy=x^3-64513x-6260983\) |
312.2.0.? |
$[(-148, 299)]$ |
286650.n1 |
286650n1 |
286650.n |
286650n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5080320$ |
$2.142067$ |
$1551349793665/14556672$ |
$0.93224$ |
$4.09272$ |
$[1, -1, 0, -580617, 169046541]$ |
\(y^2+xy=x^3-x^2-580617x+169046541\) |
312.2.0.? |
$[]$ |
286650.t1 |
286650t1 |
286650.t |
286650t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 7^{8} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$4.659480932$ |
$1$ |
|
$8$ |
$35562240$ |
$3.115025$ |
$1551349793665/14556672$ |
$0.93224$ |
$5.02185$ |
$[1, -1, 0, -28450242, -57926063084]$ |
\(y^2+xy=x^3-x^2-28450242x-57926063084\) |
312.2.0.? |
$[(-3295, 7601), (20519, 2817653)]$ |
286650.jc1 |
286650jc1 |
286650.jc |
286650jc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$4.463289863$ |
$1$ |
|
$2$ |
$7112448$ |
$2.310303$ |
$1551349793665/14556672$ |
$0.93224$ |
$4.25337$ |
$[1, -1, 1, -1138010, -463180903]$ |
\(y^2+xy+y=x^3-x^2-1138010x-463180903\) |
312.2.0.? |
$[(-575, 1191)]$ |
286650.jg1 |
286650jg1 |
286650.jg |
286650jg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.401465583$ |
$1$ |
|
$6$ |
$1016064$ |
$1.337349$ |
$1551349793665/14556672$ |
$0.93224$ |
$3.32424$ |
$[1, -1, 1, -23225, 1357017]$ |
\(y^2+xy+y=x^3-x^2-23225x+1357017\) |
312.2.0.? |
$[(143, 900)]$ |