| 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 |
| 29241.d1 |
29241a1 |
29241.d |
29241a |
$1$ |
$1$ |
\( 3^{4} \cdot 19^{2} \) |
\( 3^{4} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.2 |
2Cn |
$684$ |
$12$ |
$0$ |
$2.076086389$ |
$1$ |
|
$2$ |
$5184$ |
$0.052347$ |
$3249$ |
$0.80657$ |
$2.35899$ |
$[1, -1, 1, -68, -130]$ |
\(y^2+xy+y=x^3-x^2-68x-130\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 342.6.0.?, 684.12.0.? |
$[(-5, 10)]$ |
| 29241.e1 |
29241m1 |
29241.e |
29241m |
$1$ |
$1$ |
\( 3^{4} \cdot 19^{2} \) |
\( 3^{10} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$5.955113305$ |
$1$ |
|
$0$ |
$295488$ |
$2.073872$ |
$3249$ |
$0.80657$ |
$4.71799$ |
$[1, -1, 1, -219917, -27104732]$ |
\(y^2+xy+y=x^3-x^2-219917x-27104732\) |
2.2.0.a.1, 228.4.0.?, 342.6.0.?, 684.12.0.? |
$[(-677/2, 18997/2)]$ |
| 29241.j1 |
29241c1 |
29241.j |
29241c |
$1$ |
$1$ |
\( 3^{4} \cdot 19^{2} \) |
\( 3^{4} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$98496$ |
$1.524567$ |
$3249$ |
$0.80657$ |
$4.07698$ |
$[1, -1, 0, -24435, 1012024]$ |
\(y^2+xy=x^3-x^2-24435x+1012024\) |
2.2.0.a.1, 76.4.0.?, 342.6.0.?, 684.12.0.? |
$[]$ |
| 29241.k1 |
29241k1 |
29241.k |
29241k |
$1$ |
$1$ |
\( 3^{4} \cdot 19^{2} \) |
\( 3^{10} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$0.601653$ |
$3249$ |
$0.80657$ |
$3.00000$ |
$[1, -1, 0, -609, 4112]$ |
\(y^2+xy=x^3-x^2-609x+4112\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 342.6.0.?, 684.12.0.? |
$[]$ |
| 467856.bc1 |
467856bc1 |
467856.bc |
467856bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.2 |
2Cn |
$684$ |
$12$ |
$0$ |
$0.881386264$ |
$1$ |
|
$10$ |
$331776$ |
$0.745494$ |
$3249$ |
$0.80657$ |
$2.49512$ |
$[0, 0, 0, -1083, 9386]$ |
\(y^2=x^3-1083x+9386\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 342.6.0.?, 684.12.0.? |
$[(-19, 152), (95, 874)]$ |
| 467856.bd1 |
467856bd1 |
467856.bd |
467856bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$5.754182434$ |
$1$ |
|
$2$ |
$6303744$ |
$2.217712$ |
$3249$ |
$0.80657$ |
$3.84827$ |
$[0, 0, 0, -390963, -64378574]$ |
\(y^2=x^3-390963x-64378574\) |
2.2.0.a.1, 76.4.0.?, 342.6.0.?, 684.12.0.? |
$[(-489, 3142)]$ |
| 467856.by1 |
467856by1 |
467856.by |
467856by |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$0.422207894$ |
$1$ |
|
$6$ |
$995328$ |
$1.294800$ |
$3249$ |
$0.80657$ |
$3.00000$ |
$[0, 0, 0, -9747, -253422]$ |
\(y^2=x^3-9747x-253422\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 342.6.0.?, 684.12.0.? |
$[(-57, 342)]$ |
| 467856.bz1 |
467856bz1 |
467856.bz |
467856bz |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$684$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$18911232$ |
$2.767021$ |
$3249$ |
$0.80657$ |
$4.35315$ |
$[0, 0, 0, -3518667, 1738221498]$ |
\(y^2=x^3-3518667x+1738221498\) |
2.2.0.a.1, 228.4.0.?, 342.6.0.?, 684.12.0.? |
$[]$ |
