| 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 |
| 30752.a1 |
30752b1 |
30752.a |
30752b |
$1$ |
$1$ |
\( 2^{5} \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$248$ |
$12$ |
$0$ |
$1.160536309$ |
$1$ |
|
$8$ |
$1920$ |
$-0.388463$ |
$1984$ |
$0.65713$ |
$1.80184$ |
$[0, -1, 0, -10, 8]$ |
\(y^2=x^3-x^2-10x+8\) |
2.2.0.a.1, 62.6.0.a.1, 248.12.0.? |
$[(-2, 4), (4, 4)]$ |
| 30752.b1 |
30752c1 |
30752.b |
30752c |
$1$ |
$1$ |
\( 2^{5} \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$59520$ |
$1.328531$ |
$1984$ |
$0.65713$ |
$3.79570$ |
$[0, -1, 0, -9930, 140128]$ |
\(y^2=x^3-x^2-9930x+140128\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 62.6.0.a.1, 248.12.0.? |
$[]$ |
| 30752.f1 |
30752a1 |
30752.f |
30752a |
$1$ |
$1$ |
\( 2^{5} \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$248$ |
$12$ |
$0$ |
$2.314911736$ |
$1$ |
|
$0$ |
$59520$ |
$1.328531$ |
$1984$ |
$0.65713$ |
$3.79570$ |
$[0, 1, 0, -9930, -140128]$ |
\(y^2=x^3+x^2-9930x-140128\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 62.6.0.a.1, 248.12.0.? |
$[(958/3, 3844/3)]$ |
| 30752.g1 |
30752g1 |
30752.g |
30752g |
$1$ |
$1$ |
\( 2^{5} \cdot 31^{2} \) |
\( 2^{6} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$248$ |
$12$ |
$0$ |
$1.361672226$ |
$1$ |
|
$2$ |
$1920$ |
$-0.388463$ |
$1984$ |
$0.65713$ |
$1.80184$ |
$[0, 1, 0, -10, -8]$ |
\(y^2=x^3+x^2-10x-8\) |
2.2.0.a.1, 62.6.0.a.1, 248.12.0.? |
$[(-3, 2)]$ |
| 61504.q1 |
61504e1 |
61504.q |
61504e |
$1$ |
$1$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{12} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.2 |
2Cn |
$124$ |
$12$ |
$0$ |
$0.987906628$ |
$1$ |
|
$2$ |
$238080$ |
$1.675104$ |
$1984$ |
$0.65713$ |
$3.93426$ |
$[0, -1, 0, -39721, -1081303]$ |
\(y^2=x^3-x^2-39721x-1081303\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 62.6.0.a.1, 124.12.0.? |
$[(641, 15376)]$ |
| 61504.r1 |
61504q1 |
61504.r |
61504q |
$1$ |
$1$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{12} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$124$ |
$12$ |
$0$ |
$0.964590533$ |
$1$ |
|
$8$ |
$7680$ |
$-0.041889$ |
$1984$ |
$0.65713$ |
$2.06574$ |
$[0, -1, 0, -41, -23]$ |
\(y^2=x^3-x^2-41x-23\) |
2.2.0.a.1, 62.6.0.a.1, 124.12.0.? |
$[(-3, 8), (-1, 4)]$ |
| 61504.bl1 |
61504n1 |
61504.bl |
61504n |
$1$ |
$1$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{12} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$124$ |
$12$ |
$0$ |
$1.239210826$ |
$1$ |
|
$6$ |
$7680$ |
$-0.041889$ |
$1984$ |
$0.65713$ |
$2.06574$ |
$[0, 1, 0, -41, 23]$ |
\(y^2=x^3+x^2-41x+23\) |
2.2.0.a.1, 62.6.0.a.1, 124.12.0.? |
$[(-1, 8), (11, 32)]$ |
| 61504.bm1 |
61504a1 |
61504.bm |
61504a |
$1$ |
$1$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{12} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.2 |
2Cn |
$124$ |
$12$ |
$0$ |
$4.697950960$ |
$1$ |
|
$2$ |
$238080$ |
$1.675104$ |
$1984$ |
$0.65713$ |
$3.93426$ |
$[0, 1, 0, -39721, 1081303]$ |
\(y^2=x^3+x^2-39721x+1081303\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 62.6.0.a.1, 124.12.0.? |
$[(243, 2416)]$ |
| 276768.m1 |
276768m1 |
276768.m |
276768m |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$744$ |
$12$ |
$0$ |
$1.166008974$ |
$1$ |
|
$2$ |
$1785600$ |
$1.877836$ |
$1984$ |
$0.65713$ |
$3.65618$ |
$[0, 0, 0, -89373, 3694084]$ |
\(y^2=x^3-89373x+3694084\) |
2.2.0.a.1, 24.4.0-2.a.1.1, 62.6.0.a.1, 744.12.0.? |
$[(0, 1922)]$ |
| 276768.n1 |
276768n1 |
276768.n |
276768n |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$744$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$0.160843$ |
$1984$ |
$0.65713$ |
$2.01193$ |
$[0, 0, 0, -93, -124]$ |
\(y^2=x^3-93x-124\) |
2.2.0.a.1, 62.6.0.a.1, 744.12.0.? |
$[]$ |
| 276768.o1 |
276768o1 |
276768.o |
276768o |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$744$ |
$12$ |
$0$ |
$2.148400594$ |
$1$ |
|
$2$ |
$57600$ |
$0.160843$ |
$1984$ |
$0.65713$ |
$2.01193$ |
$[0, 0, 0, -93, 124]$ |
\(y^2=x^3-93x+124\) |
2.2.0.a.1, 62.6.0.a.1, 744.12.0.? |
$[(9, 4)]$ |
| 276768.p1 |
276768p1 |
276768.p |
276768p |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$744$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1785600$ |
$1.877836$ |
$1984$ |
$0.65713$ |
$3.65618$ |
$[0, 0, 0, -89373, -3694084]$ |
\(y^2=x^3-89373x-3694084\) |
2.2.0.a.1, 24.4.0-2.a.1.1, 62.6.0.a.1, 744.12.0.? |
$[]$ |
