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 |
102921.f1 |
102921a1 |
102921.f |
102921a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{2} \cdot 13^{8} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$3.191641343$ |
$1$ |
|
$0$ |
$17971200$ |
$3.598221$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$5.76733$ |
$[0, -1, 1, -90159021, 163980248330]$ |
\(y^2+y=x^3-x^2-90159021x+163980248330\) |
58.2.0.a.1 |
$[(146637/2, 54331637/2)]$ |
102921.i1 |
102921g1 |
102921.i |
102921g |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{2} \cdot 13^{2} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.315746$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$4.43393$ |
$[0, -1, 1, -533485, 74802405]$ |
\(y^2+y=x^3-x^2-533485x+74802405\) |
58.2.0.a.1 |
$[]$ |
308763.n1 |
308763n1 |
308763.n |
308763n |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{22} \cdot 7^{2} \cdot 13^{2} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11059200$ |
$2.865055$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$4.57004$ |
$[0, 0, 1, -4801368, -2014863575]$ |
\(y^2+y=x^3-4801368x-2014863575\) |
58.2.0.a.1 |
$[]$ |
308763.o1 |
308763o1 |
308763.o |
308763o |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{22} \cdot 7^{2} \cdot 13^{8} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$3.273296225$ |
$1$ |
|
$0$ |
$143769600$ |
$4.147530$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$5.78755$ |
$[0, 0, 1, -811431192, -4426655273726]$ |
\(y^2+y=x^3-811431192x-4426655273726\) |
58.2.0.a.1 |
$[(-66079/2, 16913347/2)]$ |