| 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 |
| 245.a1 |
245a1 |
245.a |
245a |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \) |
\( - 5^{3} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$0.032236886$ |
$1$ |
|
$14$ |
$48$ |
$-0.416761$ |
$-110592/125$ |
$0.98030$ |
$3.36908$ |
$[0, 0, 1, -7, 12]$ |
\(y^2+y=x^3-7x+12\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[(7, 17)]$ |
| 245.b1 |
245b1 |
245.b |
245b |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \) |
\( - 5^{3} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$336$ |
$0.556194$ |
$-110592/125$ |
$0.98030$ |
$5.49141$ |
$[0, 0, 1, -343, -4202]$ |
\(y^2+y=x^3-343x-4202\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[]$ |
| 245.c1 |
245c3 |
245.c |
245c |
$3$ |
$9$ |
\( 5 \cdot 7^{2} \) |
\( - 5^{9} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$630$ |
$144$ |
$3$ |
$0.040819755$ |
$1$ |
|
$10$ |
$288$ |
$1.100418$ |
$-250523582464/13671875$ |
$1.02112$ |
$6.90976$ |
$[0, -1, 1, -6435, 210006]$ |
\(y^2+y=x^3-x^2-6435x+210006\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 63.72.0-63.e.2.3, $\ldots$ |
$[(40, 122)]$ |
| 245.c2 |
245c1 |
245.c |
245c |
$3$ |
$9$ |
\( 5 \cdot 7^{2} \) |
\( - 5 \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$630$ |
$144$ |
$3$ |
$0.367377802$ |
$1$ |
|
$4$ |
$32$ |
$0.001805$ |
$-262144/35$ |
$0.88715$ |
$4.42802$ |
$[0, -1, 1, -65, -204]$ |
\(y^2+y=x^3-x^2-65x-204\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.1, 30.8.0-3.a.1.1, 63.72.0-63.e.1.3, $\ldots$ |
$[(12, 24)]$ |
| 245.c3 |
245c2 |
245.c |
245c |
$3$ |
$9$ |
\( 5 \cdot 7^{2} \) |
\( - 5^{3} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$630$ |
$144$ |
$3$ |
$0.122459267$ |
$1$ |
|
$8$ |
$96$ |
$0.551111$ |
$71991296/42875$ |
$1.06493$ |
$5.41104$ |
$[0, -1, 1, 425, 433]$ |
\(y^2+y=x^3-x^2+425x+433\) |
3.12.0.a.1, 21.24.0-3.a.1.1, 30.24.0-3.a.1.1, 63.72.0-63.b.1.2, 70.2.0.a.1, $\ldots$ |
$[(89, 857)]$ |
