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.q2 |
86190s2 |
86190.q |
86190s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{2} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.555556285$ |
$1$ |
|
$4$ |
$129024$ |
$1.088779$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$3.22251$ |
$[1, 1, 0, -2967, -104931]$ |
\(y^2+xy=x^3+x^2-2967x-104931\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(69, 123)]$ |
86190.bq2 |
86190bv2 |
86190.bq |
86190bv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{2} \cdot 13^{9} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$6.830301004$ |
$1$ |
|
$2$ |
$1677312$ |
$2.371254$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$4.57672$ |
$[1, 1, 1, -501511, -228026011]$ |
\(y^2+xy+y=x^3+x^2-501511x-228026011\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(3953, 242112)]$ |
258570.cf2 |
258570cf2 |
258570.cf |
258570cf |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 13^{9} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.545194346$ |
$1$ |
|
$2$ |
$13418496$ |
$2.920559$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$4.70218$ |
$[1, -1, 0, -4513599, 6152188693]$ |
\(y^2+xy=x^3-x^2-4513599x+6152188693\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(479, 63791)]$ |
258570.dn2 |
258570dn2 |
258570.dn |
258570dn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$0.580713437$ |
$1$ |
|
$8$ |
$1032192$ |
$1.638084$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$3.46734$ |
$[1, -1, 1, -26708, 2806431]$ |
\(y^2+xy+y=x^3-x^2-26708x+2806431\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(75, 1067)]$ |
430950.dk2 |
430950dk2 |
430950.dk |
430950dk |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{8} \cdot 13^{9} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40255488$ |
$3.175972$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$4.75328$ |
$[1, 0, 1, -12537776, -28478175802]$ |
\(y^2+xy+y=x^3-12537776x-28478175802\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
430950.hv2 |
430950hv2 |
430950.hv |
430950hv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{8} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.427491485$ |
$1$ |
|
$4$ |
$3096576$ |
$1.893497$ |
$-1315451937493/1353040200$ |
$0.98605$ |
$3.56706$ |
$[1, 0, 0, -74188, -12968008]$ |
\(y^2+xy=x^3-74188x-12968008\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(442, 6154)]$ |