| 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 |
| 75810.j1 |
75810n2 |
75810.j |
75810n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$2.493837861$ |
$1$ |
|
$0$ |
$1632960$ |
$2.179153$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$5.18476$ |
$[1, 1, 0, -5651443, 5168796013]$ |
\(y^2+xy=x^3+x^2-5651443x+5168796013\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 840.8.0.?, 15960.16.0.? |
$[(5487/2, -5305/2)]$ |
| 75810.db1 |
75810db2 |
75810.db |
75810db |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31026240$ |
$3.651371$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$6.75708$ |
$[1, 0, 0, -2040171111, -35469093221559]$ |
\(y^2+xy=x^3-2040171111x-35469093221559\) |
3.8.0-3.a.1.1, 840.16.0.? |
$[]$ |
| 227430.db1 |
227430dr2 |
227430.db |
227430dr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$248209920$ |
$4.200676$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$6.68965$ |
$[1, -1, 0, -18361539999, 957665516982093]$ |
\(y^2+xy=x^3-x^2-18361539999x+957665516982093\) |
3.8.0-3.a.1.2, 840.16.0.? |
$[]$ |
| 227430.gc1 |
227430l2 |
227430.gc |
227430l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13063680$ |
$2.728458$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$5.25737$ |
$[1, -1, 1, -50862992, -139608355341]$ |
\(y^2+xy+y=x^3-x^2-50862992x-139608355341\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 840.8.0.?, 15960.16.0.? |
$[]$ |
| 379050.i1 |
379050i2 |
379050.i |
379050i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$30.62459670$ |
$1$ |
|
$0$ |
$744629760$ |
$4.456093$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$6.66223$ |
$[1, 1, 0, -51004277775, -4433636652694875]$ |
\(y^2+xy=x^3+x^2-51004277775x-4433636652694875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 840.16.0.? |
$[(332031460723745/3523, 6049386748505163000120/3523)]$ |
| 379050.hz1 |
379050hz2 |
379050.hz |
379050hz |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1.342352508$ |
$1$ |
|
$12$ |
$39191040$ |
$2.983871$ |
$55296123367985268658129/148176000$ |
$1.02783$ |
$5.28690$ |
$[1, 0, 0, -141286088, 646382073792]$ |
\(y^2+xy=x^3-141286088x+646382073792\) |
3.4.0.a.1, 285.8.0.?, 840.8.0.?, 3192.8.0.?, 15960.16.0.? |
$[(6862, -3356), (6472, 52264)]$ |
