| 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 |
| 2365.a1 |
2365d1 |
2365.a |
2365d |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 43 \) |
\( 5^{3} \cdot 11 \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4730$ |
$2$ |
$0$ |
$0.146142603$ |
$1$ |
|
$8$ |
$264$ |
$-0.390830$ |
$122023936/59125$ |
$0.74861$ |
$2.39681$ |
$[0, -1, 1, -10, -2]$ |
\(y^2+y=x^3-x^2-10x-2\) |
4730.2.0.? |
$[(-1, 2)]$ |
| 2365.b1 |
2365c1 |
2365.b |
2365c |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 43 \) |
\( 5^{5} \cdot 11^{5} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$4730$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22200$ |
$1.393631$ |
$1617831409433849856/40014630803125$ |
$0.97846$ |
$5.39711$ |
$[0, 0, 1, -24457, -1440350]$ |
\(y^2+y=x^3-24457x-1440350\) |
4730.2.0.? |
$[ ]$ |
| 2365.c1 |
2365b2 |
2365.c |
2365b |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 43 \) |
\( 5^{3} \cdot 11 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$14190$ |
$16$ |
$0$ |
$0.991860015$ |
$1$ |
|
$0$ |
$648$ |
$0.365808$ |
$12332795428864/109322125$ |
$1.01943$ |
$3.88018$ |
$[0, 1, 1, -481, -4194]$ |
\(y^2+y=x^3+x^2-481x-4194\) |
3.8.0-3.a.1.1, 4730.2.0.?, 14190.16.0.? |
$[(-51/2, 39/2)]$ |
| 2365.c2 |
2365b1 |
2365.c |
2365b |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 43 \) |
\( 5 \cdot 11^{3} \cdot 43 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$14190$ |
$16$ |
$0$ |
$2.975580045$ |
$1$ |
|
$2$ |
$216$ |
$-0.183497$ |
$7809531904/286165$ |
$0.83604$ |
$2.93216$ |
$[0, 1, 1, -41, 85]$ |
\(y^2+y=x^3+x^2-41x+85\) |
3.8.0-3.a.1.2, 4730.2.0.?, 14190.16.0.? |
$[(5/2, 45/2)]$ |
| 2365.d1 |
2365a1 |
2365.d |
2365a |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 43 \) |
\( - 5^{6} \cdot 11^{7} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1892$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$1.198503$ |
$-957681397954009/13092943015625$ |
$0.94464$ |
$4.85282$ |
$[1, 1, 0, -2053, 176882]$ |
\(y^2+xy=x^3+x^2-2053x+176882\) |
1892.2.0.? |
$[ ]$ |
| 2365.e1 |
2365e1 |
2365.e |
2365e |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 43 \) |
\( - 5^{2} \cdot 11^{3} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1892$ |
$2$ |
$0$ |
$0.287272680$ |
$1$ |
|
$2$ |
$576$ |
$0.146674$ |
$-3710197529641/1430825$ |
$0.85937$ |
$3.72564$ |
$[1, 0, 1, -323, 2203]$ |
\(y^2+xy+y=x^3-323x+2203\) |
1892.2.0.? |
$[(19, 45)]$ |