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 |
86190.f1 |
86190e1 |
86190.f |
86190e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{19} \cdot 5^{5} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$54537600$ |
$3.873848$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$6.50157$ |
$[1, 1, 0, -1034623918, -12812103048428]$ |
\(y^2+xy=x^3+x^2-1034623918x-12812103048428\) |
120.2.0.? |
$[]$ |
86190.cb1 |
86190cb1 |
86190.cb |
86190cb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{19} \cdot 5^{5} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4195200$ |
$2.591373$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$5.14736$ |
$[1, 1, 1, -6122035, -5833990063]$ |
\(y^2+xy+y=x^3+x^2-6122035x-5833990063\) |
120.2.0.? |
$[]$ |
258570.m1 |
258570m1 |
258570.m |
258570m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{25} \cdot 5^{5} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33561600$ |
$3.140678$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$5.22252$ |
$[1, -1, 0, -55098315, 157462633381]$ |
\(y^2+xy=x^3-x^2-55098315x+157462633381\) |
120.2.0.? |
$[]$ |
258570.fi1 |
258570fi1 |
258570.fi |
258570fi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{25} \cdot 5^{5} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$436300800$ |
$4.423149$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$6.45736$ |
$[1, -1, 1, -9311615267, 345917470692291]$ |
\(y^2+xy+y=x^3-x^2-9311615267x+345917470692291\) |
120.2.0.? |
$[]$ |
430950.dy1 |
430950dy1 |
430950.dy |
430950dy |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{19} \cdot 5^{11} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$100684800$ |
$3.396091$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$5.25313$ |
$[1, 0, 1, -153050876, -728942656102]$ |
\(y^2+xy+y=x^3-153050876x-728942656102\) |
120.2.0.? |
$[]$ |
430950.hf1 |
430950hf1 |
430950.hf |
430950hf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{19} \cdot 5^{11} \cdot 13^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.187052342$ |
$1$ |
|
$2$ |
$1308902400$ |
$4.678566$ |
$-150149688795910040658889/33589356396300000$ |
$1.01813$ |
$6.43935$ |
$[1, 0, 0, -25865597963, -1601461149857583]$ |
\(y^2+xy=x^3-25865597963x-1601461149857583\) |
120.2.0.? |
$[(466792, 296475679)]$ |