| 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 |
| 28577.a1 |
28577a4 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( 17 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$44608$ |
$1536$ |
$53$ |
$13.92546258$ |
$1$ |
|
$0$ |
$69120$ |
$1.480150$ |
$82483294977/17$ |
$1.03131$ |
$4.62141$ |
$[1, -1, 1, -152446, -22871660]$ |
\(y^2+xy+y=x^3-x^2-152446x-22871660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(45707561/16, 308649734979/16)]$ |
| 28577.a2 |
28577a2 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( 17^{2} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.20 |
2Cs |
$22304$ |
$1536$ |
$53$ |
$6.962731290$ |
$1$ |
|
$4$ |
$34560$ |
$1.133575$ |
$20346417/289$ |
$1.02963$ |
$3.81174$ |
$[1, -1, 1, -9561, -352984]$ |
\(y^2+xy+y=x^3-x^2-9561x-352984\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 68.24.0.b.1, $\ldots$ |
$[(178545, 75354007)]$ |
| 28577.a3 |
28577a3 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( - 17^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$44608$ |
$1536$ |
$53$ |
$3.481365645$ |
$1$ |
|
$0$ |
$69120$ |
$1.480150$ |
$-35937/83521$ |
$1.18071$ |
$4.00271$ |
$[1, -1, 1, -1156, -958144]$ |
\(y^2+xy+y=x^3-x^2-1156x-958144\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(1067/2, 32549/2)]$ |
| 28577.a4 |
28577a1 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( 17 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$44608$ |
$1536$ |
$53$ |
$3.481365645$ |
$1$ |
|
$3$ |
$17280$ |
$0.787003$ |
$35937/17$ |
$1.02432$ |
$3.19394$ |
$[1, -1, 1, -1156, 6750]$ |
\(y^2+xy+y=x^3-x^2-1156x+6750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(6, -1)]$ |
