| 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 |
| 118579.a1 |
118579c3 |
118579.a |
118579c |
$3$ |
$9$ |
\( 19 \cdot 79^{2} \) |
\( - 19 \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$81054$ |
$1296$ |
$43$ |
$12.12907423$ |
$1$ |
|
$0$ |
$1482624$ |
$2.218163$ |
$-50357871050752/19$ |
$1.10495$ |
$4.94438$ |
$[0, -1, 1, -4801409, 4051098688]$ |
\(y^2+y=x^3-x^2-4801409x+4051098688\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$ |
$[(-2427419/90, 53881502471/90)]$ |
| 118579.a2 |
118579c2 |
118579.a |
118579c |
$3$ |
$9$ |
\( 19 \cdot 79^{2} \) |
\( - 19^{3} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$81054$ |
$1296$ |
$43$ |
$4.043024746$ |
$1$ |
|
$0$ |
$494208$ |
$1.668858$ |
$-89915392/6859$ |
$1.03310$ |
$3.82210$ |
$[0, -1, 1, -58249, 5776103]$ |
\(y^2+y=x^3-x^2-58249x+5776103\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 171.108.4.?, $\ldots$ |
$[(-19091/9, 1837610/9)]$ |
| 118579.a3 |
118579c1 |
118579.a |
118579c |
$3$ |
$9$ |
\( 19 \cdot 79^{2} \) |
\( - 19 \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$81054$ |
$1296$ |
$43$ |
$12.12907423$ |
$1$ |
|
$0$ |
$164736$ |
$1.119551$ |
$32768/19$ |
$1.31757$ |
$3.13386$ |
$[0, -1, 1, 4161, 3178]$ |
\(y^2+y=x^3-x^2+4161x+3178\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$ |
$[(1974364/459, 19982765431/459)]$ |
| 118579.b1 |
118579b1 |
118579.b |
118579b |
$1$ |
$1$ |
\( 19 \cdot 79^{2} \) |
\( - 19^{9} \cdot 79^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.27.0.2 |
3Nn |
$54036$ |
$108$ |
$7$ |
$1$ |
$9$ |
$3$ |
$0$ |
$57335040$ |
$4.167809$ |
$70143520960521/322687697779$ |
$1.05847$ |
$6.26065$ |
$[1, -1, 0, 423612946, 8846527401901]$ |
\(y^2+xy=x^3-x^2+423612946x+8846527401901\) |
3.3.0.a.1, 9.27.0.b.1, 228.6.0.?, 237.6.0.?, 684.54.1.?, $\ldots$ |
$[ ]$ |
| 118579.c1 |
118579a1 |
118579.c |
118579a |
$1$ |
$1$ |
\( 19 \cdot 79^{2} \) |
\( - 19^{9} \cdot 79^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.27.0.2 |
3Nn |
$54036$ |
$108$ |
$7$ |
$1$ |
$9$ |
$3$ |
$0$ |
$725760$ |
$1.983088$ |
$70143520960521/322687697779$ |
$1.05847$ |
$4.01671$ |
$[1, -1, 0, 67876, -17960039]$ |
\(y^2+xy=x^3-x^2+67876x-17960039\) |
3.3.0.a.1, 9.27.0.b.1, 228.6.0.?, 237.6.0.?, 684.54.1.?, $\ldots$ |
$[ ]$ |
