| 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 |
Manin constant |
| 3362.a1 |
3362c2 |
3362.a |
3362c |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2^{4} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.3.343 |
2B |
$656$ |
$384$ |
$9$ |
$3.689318701$ |
$1$ |
|
$2$ |
$2560$ |
$0.539329$ |
$68769820673/16$ |
$1.02088$ |
$4.44501$ |
$[1, 0, 1, -3500, -79974]$ |
\(y^2+xy+y=x^3-3500x-79974\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 16.96.3.fa.1, 82.6.0.?, $\ldots$ |
$[(222, 3066)]$ |
$1$ |
| 3362.a2 |
3362c1 |
3362.a |
3362c |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2^{8} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.3.335 |
2B |
$656$ |
$384$ |
$9$ |
$1.844659350$ |
$1$ |
|
$3$ |
$1280$ |
$0.192755$ |
$16974593/256$ |
$0.95083$ |
$3.42204$ |
$[1, 0, 1, -220, -1254]$ |
\(y^2+xy+y=x^3-220x-1254\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 16.96.3.fa.2, 82.6.0.?, $\ldots$ |
$[(-8, 6)]$ |
$1$ |
| 3362.b1 |
3362b2 |
3362.b |
3362b |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2 \cdot 41^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$328$ |
$12$ |
$0$ |
$8.556402576$ |
$1$ |
|
$0$ |
$13440$ |
$1.325207$ |
$169112377/3362$ |
$0.89048$ |
$5.07710$ |
$[1, 1, 0, -19366, -1027446]$ |
\(y^2+xy=x^3+x^2-19366x-1027446\) |
2.3.0.a.1, 8.6.0.b.1, 164.6.0.?, 328.12.0.? |
$[(-6359/9, 122986/9)]$ |
$1$ |
| 3362.b2 |
3362b1 |
3362.b |
3362b |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2^{2} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$328$ |
$12$ |
$0$ |
$4.278201288$ |
$1$ |
|
$3$ |
$6720$ |
$0.978632$ |
$389017/164$ |
$0.92135$ |
$4.32901$ |
$[1, 1, 0, -2556, 24860]$ |
\(y^2+xy=x^3+x^2-2556x+24860\) |
2.3.0.a.1, 8.6.0.c.1, 82.6.0.?, 328.12.0.? |
$[(-37, 284)]$ |
$1$ |
| 3362.c1 |
3362a2 |
3362.c |
3362a |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2^{4} \cdot 41^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.3.343 |
2B |
$656$ |
$384$ |
$9$ |
$37.40554074$ |
$1$ |
|
$0$ |
$104960$ |
$2.396114$ |
$68769820673/16$ |
$1.02088$ |
$7.18893$ |
$[1, 1, 0, -5882694, -5494222780]$ |
\(y^2+xy=x^3+x^2-5882694x-5494222780\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 16.96.3.fa.1, 82.6.0.?, $\ldots$ |
$[(-375127975614357221/16367265, 2985417272000212508425303/16367265)]$ |
$1$ |
| 3362.c2 |
3362a1 |
3362.c |
3362a |
$2$ |
$2$ |
\( 2 \cdot 41^{2} \) |
\( 2^{8} \cdot 41^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.3.335 |
2B |
$656$ |
$384$ |
$9$ |
$18.70277037$ |
$1$ |
|
$1$ |
$52480$ |
$2.049541$ |
$16974593/256$ |
$0.95083$ |
$6.16596$ |
$[1, 1, 0, -369014, -85302700]$ |
\(y^2+xy=x^3+x^2-369014x-85302700\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 16.96.3.fa.2, 82.6.0.?, $\ldots$ |
$[(-181040525/709, 428594878630/709)]$ |
$1$ |
