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 |
304200.s1 |
304200s1 |
304200.s |
304200s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$16.92283623$ |
$1$ |
|
$0$ |
$5690880$ |
$2.366119$ |
$-7020$ |
$0.73656$ |
$4.17403$ |
$[0, 0, 0, -823875, -321311250]$ |
\(y^2=x^3-823875x-321311250\) |
6.2.0.a.1 |
$[(92387331/179, 836572222104/179)]$ |
304200.t1 |
304200t1 |
304200.t |
304200t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1.232210194$ |
$1$ |
|
$2$ |
$262656$ |
$0.828233$ |
$-7020$ |
$0.73656$ |
$2.71233$ |
$[0, 0, 0, -1755, 31590]$ |
\(y^2=x^3-1755x+31590\) |
6.2.0.a.1 |
$[(-9, 216)]$ |
304200.bc1 |
304200bc1 |
304200.bc |
304200bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17072640$ |
$2.915428$ |
$-7020$ |
$0.73656$ |
$4.69613$ |
$[0, 0, 0, -7414875, 8675403750]$ |
\(y^2=x^3-7414875x+8675403750\) |
6.2.0.a.1 |
$[]$ |
304200.bd1 |
304200bd1 |
304200.bd |
304200bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87552$ |
$0.278927$ |
$-7020$ |
$0.73656$ |
$2.19023$ |
$[0, 0, 0, -195, -1170]$ |
\(y^2=x^3-195x-1170\) |
6.2.0.a.1 |
$[]$ |
304200.fa1 |
304200fa1 |
304200.fa |
304200fa |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$4.235276863$ |
$1$ |
|
$2$ |
$1138176$ |
$1.561401$ |
$-7020$ |
$0.73656$ |
$3.40918$ |
$[0, 0, 0, -32955, -2570490]$ |
\(y^2=x^3-32955x-2570490\) |
6.2.0.a.1 |
$[(231, 1464)]$ |
304200.fb1 |
304200fb1 |
304200.fb |
304200fb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$5.082898855$ |
$1$ |
|
$2$ |
$1313280$ |
$1.632952$ |
$-7020$ |
$0.73656$ |
$3.47718$ |
$[0, 0, 0, -43875, 3948750]$ |
\(y^2=x^3-43875x+3948750\) |
6.2.0.a.1 |
$[(2331, 112104)]$ |
304200.fe1 |
304200fe1 |
304200.fe |
304200fe |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3414528$ |
$2.110706$ |
$-7020$ |
$0.73656$ |
$3.93127$ |
$[0, 0, 0, -296595, 69403230]$ |
\(y^2=x^3-296595x+69403230\) |
6.2.0.a.1 |
$[]$ |
304200.ff1 |
304200ff1 |
304200.ff |
304200ff |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$437760$ |
$1.083647$ |
$-7020$ |
$0.73656$ |
$2.95509$ |
$[0, 0, 0, -4875, -146250]$ |
\(y^2=x^3-4875x-146250\) |
6.2.0.a.1 |
$[]$ |