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 |
90354.e4 |
90354b3 |
90354.e |
90354b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 11^{5} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$24420$ |
$288$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1152000$ |
$1.926796$ |
$1401130594505699/1519867920384$ |
$1.01466$ |
$4.00551$ |
$[1, 1, 0, 86256, 9153792]$ |
\(y^2+xy=x^3+x^2+86256x+9153792\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 60.36.0.d.2, 110.36.0.?, $\ldots$ |
$[ ]$ |
90354.m4 |
90354l3 |
90354.m |
90354l |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 11^{5} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$24420$ |
$288$ |
$5$ |
$5.724546198$ |
$1$ |
|
$3$ |
$42624000$ |
$3.732254$ |
$1401130594505699/1519867920384$ |
$1.01466$ |
$5.90408$ |
$[1, 1, 1, 118083751, 461895766247]$ |
\(y^2+xy+y=x^3+x^2+118083751x+461895766247\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 60.36.0.d.2, 110.36.0.?, $\ldots$ |
$[(3375, 946408)]$ |
271062.o4 |
271062o3 |
271062.o |
271062o |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2^{20} \cdot 3^{8} \cdot 11^{5} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$24420$ |
$288$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$340992000$ |
$4.281563$ |
$1401130594505699/1519867920384$ |
$1.01466$ |
$5.91250$ |
$[1, -1, 0, 1062753759, -12470122934915]$ |
\(y^2+xy=x^3-x^2+1062753759x-12470122934915\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 60.36.0.d.2, 110.36.0.?, $\ldots$ |
$[ ]$ |
271062.t4 |
271062t3 |
271062.t |
271062t |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2^{20} \cdot 3^{8} \cdot 11^{5} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$24420$ |
$288$ |
$5$ |
$0.461808638$ |
$1$ |
|
$11$ |
$9216000$ |
$2.476101$ |
$1401130594505699/1519867920384$ |
$1.01466$ |
$4.18066$ |
$[1, -1, 1, 776299, -246376083]$ |
\(y^2+xy+y=x^3-x^2+776299x-246376083\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 60.36.0.d.2, 110.36.0.?, $\ldots$ |
$[(719, 25776)]$ |