| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 193800.b1 |
193800r1 |
193800.b |
193800r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$3.751115432$ |
$1$ |
|
$2$ |
$148992$ |
$0.685048$ |
$-4259200000/26163$ |
$0.87543$ |
$2.80633$ |
$1$ |
$[0, -1, 0, -1833, -29763]$ |
\(y^2=x^3-x^2-1833x-29763\) |
646.2.0.? |
$[(231, 3438)]$ |
$1$ |
| 193800.co1 |
193800by1 |
193800.co |
193800by |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 17 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$4.257852627$ |
$1$ |
|
$2$ |
$744960$ |
$1.489767$ |
$-4259200000/26163$ |
$0.87543$ |
$3.59950$ |
$1$ |
$[0, 1, 0, -45833, -3812037]$ |
\(y^2=x^3+x^2-45833x-3812037\) |
646.2.0.? |
$[(259, 1326)]$ |
$1$ |
| 387600.g1 |
387600g1 |
387600.g |
387600g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 17 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$3.268587242$ |
$1$ |
|
$2$ |
$1489920$ |
$1.489767$ |
$-4259200000/26163$ |
$0.87543$ |
$3.40561$ |
$1$ |
$[0, -1, 0, -45833, 3812037]$ |
\(y^2=x^3-x^2-45833x+3812037\) |
646.2.0.? |
$[(116, 207)]$ |
$1$ |
| 387600.gw1 |
387600gw1 |
387600.gw |
387600gw |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$297984$ |
$0.685048$ |
$-4259200000/26163$ |
$0.87543$ |
$2.65516$ |
$1$ |
$[0, 1, 0, -1833, 29763]$ |
\(y^2=x^3+x^2-1833x+29763\) |
646.2.0.? |
$[ ]$ |
$1$ |
