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 |
185150.f1 |
185150bz1 |
185150.f |
185150bz |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5193216$ |
$2.356327$ |
$17580385446145/112$ |
$0.94374$ |
$4.84797$ |
$[1, 1, 0, -6776765, 6787364365]$ |
\(y^2+xy=x^3+x^2-6776765x+6787364365\) |
28.2.0.a.1 |
$[]$ |
185150.g1 |
185150br1 |
185150.g |
185150br |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.745505417$ |
$1$ |
|
$0$ |
$225792$ |
$0.788581$ |
$17580385446145/112$ |
$0.94374$ |
$3.29689$ |
$[1, 1, 0, -12810, -563420]$ |
\(y^2+xy=x^3+x^2-12810x-563420\) |
28.2.0.a.1 |
$[(-1644/5, 4114/5)]$ |
185150.cc1 |
185150ba1 |
185150.cc |
185150ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1128960$ |
$1.593300$ |
$17580385446145/112$ |
$0.94374$ |
$4.09305$ |
$[1, 0, 0, -320263, -69786983]$ |
\(y^2+xy=x^3-320263x-69786983\) |
28.2.0.a.1 |
$[]$ |
185150.co1 |
185150z1 |
185150.co |
185150z |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$20.60970954$ |
$1$ |
|
$0$ |
$25966080$ |
$3.161049$ |
$17580385446145/112$ |
$0.94374$ |
$5.64413$ |
$[1, 0, 0, -169419138, 848759383892]$ |
\(y^2+xy=x^3-169419138x+848759383892\) |
28.2.0.a.1 |
$[(60031825342/2827, -74058279784744/2827)]$ |