| 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 |
| 24.a1 |
24a5 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{11} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.135 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$3065617154/9$ |
$1.21059$ |
$9.27238$ |
$[0, -1, 0, -384, -2772]$ |
\(y^2=x^3-x^2-384x-2772\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.1.6, 24.96.0-24.bf.1.4, $\ldots$ |
$[]$ |
| 24.a2 |
24a3 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.106 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$28756228/3$ |
$1.05617$ |
$7.58509$ |
$[0, -1, 0, -64, 220]$ |
\(y^2=x^3-x^2-64x+220\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 12.24.0-12.h.1.2, 16.96.0-16.bb.2.4, $\ldots$ |
$[]$ |
| 24.a3 |
24a2 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.49 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$6.66733$ |
$[0, -1, 0, -24, -36]$ |
\(y^2=x^3-x^2-24x-36\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4 |
$[]$ |
| 24.a4 |
24a1 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.42 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$1$ |
$-0.645352$ |
$35152/9$ |
$0.97255$ |
$5.03850$ |
$[0, -1, 0, -4, 4]$ |
\(y^2=x^3-x^2-4x+4\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7 |
$[]$ |
| 24.a5 |
24a4 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{4} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.110 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.991926$ |
$2048/3$ |
$1.17572$ |
$3.40564$ |
$[0, -1, 0, 1, 0]$ |
\(y^2=x^3-x^2+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$ |
$[]$ |
| 24.a6 |
24a6 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{11} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.166 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$207646/6561$ |
$1.15980$ |
$7.50451$ |
$[0, -1, 0, 16, -180]$ |
\(y^2=x^3-x^2+16x-180\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.2, 48.192.1-48.w.2.4 |
$[]$ |
