| 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 |
| 460.a1 |
460d1 |
460.a |
460d |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.068955432$ |
$1$ |
|
$10$ |
$24$ |
$-0.491052$ |
$-7626496/575$ |
$0.74393$ |
$3.05684$ |
$[0, -1, 0, -10, 17]$ |
\(y^2=x^3-x^2-10x+17\) |
46.2.0.a.1 |
$[(4, 5)]$ |
| 460.b1 |
460a1 |
460.b |
460a |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 5 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.438070$ |
$-221184/115$ |
$0.84034$ |
$3.01619$ |
$[0, 0, 0, -8, -12]$ |
\(y^2=x^3-8x-12\) |
230.2.0.? |
$[]$ |
| 460.c1 |
460c1 |
460.c |
460c |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$138$ |
$16$ |
$0$ |
$0.603337582$ |
$1$ |
|
$8$ |
$144$ |
$0.233419$ |
$-687518464/7604375$ |
$0.91097$ |
$4.26057$ |
$[0, 1, 0, -46, 529]$ |
\(y^2=x^3+x^2-46x+529\) |
3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.? |
$[(-6, 25)]$ |
| 460.c2 |
460c2 |
460.c |
460c |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{12} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$138$ |
$16$ |
$0$ |
$1.810012746$ |
$1$ |
|
$0$ |
$432$ |
$0.782725$ |
$489277573376/5615234375$ |
$1.14781$ |
$5.32101$ |
$[0, 1, 0, 414, -13915]$ |
\(y^2=x^3+x^2+414x-13915\) |
3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.? |
$[(613/3, 15625/3)]$ |
| 460.d1 |
460b1 |
460.d |
460b |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$360$ |
$0.485578$ |
$-2688885504/160908575$ |
$1.01469$ |
$4.75162$ |
$[0, 0, 0, -73, 2453]$ |
\(y^2=x^3-73x+2453\) |
46.2.0.a.1 |
$[]$ |
