| 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 |
| 366.a1 |
366e3 |
366.a |
366e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 61 \) |
\( 2^{2} \cdot 3^{4} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$1464$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$208$ |
$0.268836$ |
$243824355417817/19764$ |
$1.09368$ |
$5.61232$ |
$[1, 1, 0, -1301, -18615]$ |
\(y^2+xy=x^3+x^2-1301x-18615\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 122.6.0.?, 244.24.0.?, $\ldots$ |
$[]$ |
| 366.a2 |
366e4 |
366.a |
366e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 61 \) |
\( 2^{2} \cdot 3 \cdot 61^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$1464$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$208$ |
$0.268836$ |
$313461959257/166150092$ |
$0.99054$ |
$4.48460$ |
$[1, 1, 0, -141, 129]$ |
\(y^2+xy=x^3+x^2-141x+129\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 488.24.0.?, 1464.48.0.? |
$[]$ |
| 366.a3 |
366e2 |
366.a |
366e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 61 \) |
\( 2^{4} \cdot 3^{2} \cdot 61^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$732$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$104$ |
$-0.077738$ |
$59914169497/535824$ |
$1.06251$ |
$4.20426$ |
$[1, 1, 0, -81, -315]$ |
\(y^2+xy=x^3+x^2-81x-315\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 244.24.0.?, 732.48.0.? |
$[]$ |
| 366.a4 |
366e1 |
366.a |
366e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{8} \cdot 3 \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1464$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$52$ |
$-0.424312$ |
$-389017/46848$ |
$0.94373$ |
$3.08577$ |
$[1, 1, 0, -1, -11]$ |
\(y^2+xy=x^3+x^2-x-11\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
| 366.b1 |
366f1 |
366.b |
366f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{2} \cdot 3^{6} \cdot 61 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$732$ |
$16$ |
$0$ |
$0.378597976$ |
$1$ |
|
$14$ |
$48$ |
$-0.311443$ |
$-10218313/177876$ |
$0.92908$ |
$3.31653$ |
$[1, 0, 1, -5, 20]$ |
\(y^2+xy+y=x^3-5x+20\) |
3.8.0-3.a.1.2, 244.2.0.?, 732.16.0.? |
$[(3, 4)]$ |
| 366.b2 |
366f2 |
366.b |
366f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{6} \cdot 3^{2} \cdot 61^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$732$ |
$16$ |
$0$ |
$0.126199325$ |
$1$ |
|
$6$ |
$144$ |
$0.237863$ |
$7335308807/130741056$ |
$0.98544$ |
$4.42352$ |
$[1, 0, 1, 40, -538]$ |
\(y^2+xy+y=x^3+40x-538\) |
3.8.0-3.a.1.1, 244.2.0.?, 732.16.0.? |
$[(81, 691)]$ |
| 366.c1 |
366c1 |
366.c |
366c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{19} \cdot 3^{3} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1464$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228$ |
$0.532644$ |
$-84033427451401/863502336$ |
$0.98314$ |
$5.43483$ |
$[1, 0, 1, -913, -10780]$ |
\(y^2+xy+y=x^3-913x-10780\) |
1464.2.0.? |
$[]$ |
| 366.d1 |
366g1 |
366.d |
366g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{10} \cdot 3^{2} \cdot 61 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$244$ |
$2$ |
$0$ |
$0.033037247$ |
$1$ |
|
$16$ |
$80$ |
$-0.167862$ |
$-3630961153/562176$ |
$0.91318$ |
$3.76948$ |
$[1, 1, 1, -32, 65]$ |
\(y^2+xy+y=x^3+x^2-32x+65\) |
244.2.0.? |
$[(-3, 13)]$ |
| 366.e1 |
366d1 |
366.e |
366d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{7} \cdot 3^{13} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1464$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$364$ |
$0.912651$ |
$-39515579724486529/12448473984$ |
$1.01237$ |
$6.47440$ |
$[1, 1, 1, -7096, -233095]$ |
\(y^2+xy+y=x^3+x^2-7096x-233095\) |
1464.2.0.? |
$[]$ |
| 366.f1 |
366b2 |
366.f |
366b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2 \cdot 3 \cdot 61^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$7320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$300$ |
$0.574159$ |
$-15107691357361/5067577806$ |
$0.98038$ |
$5.21859$ |
$[1, 0, 0, -515, -5697]$ |
\(y^2+xy=x^3-515x-5697\) |
5.24.0-5.a.2.2, 1464.2.0.?, 7320.48.1.? |
$[]$ |
| 366.f2 |
366b1 |
366.f |
366b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{5} \cdot 3^{5} \cdot 61 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$7320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$60$ |
$-0.230561$ |
$-13997521/474336$ |
$0.94844$ |
$3.48003$ |
$[1, 0, 0, -5, 33]$ |
\(y^2+xy=x^3-5x+33\) |
5.24.0-5.a.1.2, 1464.2.0.?, 7320.48.1.? |
$[]$ |
| 366.g1 |
366a1 |
366.g |
366a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 61 \) |
\( - 2^{2} \cdot 3^{2} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$244$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$-0.115432$ |
$-953054410321/2196$ |
$0.95481$ |
$4.67299$ |
$[1, 0, 0, -205, -1147]$ |
\(y^2+xy=x^3-205x-1147\) |
244.2.0.? |
$[]$ |
