| 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 |
| 354.a1 |
354c1 |
354.a |
354c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2^{5} \cdot 3^{6} \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$472$ |
$2$ |
$0$ |
$0.232775778$ |
$1$ |
|
$6$ |
$120$ |
$0.269728$ |
$-40512641613625/1376352$ |
$0.97976$ |
$5.33841$ |
$[1, 1, 0, -715, 7069]$ |
\(y^2+xy=x^3+x^2-715x+7069\) |
472.2.0.? |
$[(13, 7)]$ |
| 354.b1 |
354d3 |
354.b |
354d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 59 \) |
\( 2 \cdot 3^{12} \cdot 59 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$1416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.380949$ |
$29609739866953/62710038$ |
$0.97800$ |
$5.28498$ |
$[1, 1, 0, -644, 6018]$ |
\(y^2+xy=x^3+x^2-644x+6018\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 236.12.0.?, $\ldots$ |
$[]$ |
| 354.b2 |
354d2 |
354.b |
354d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 59 \) |
\( 2^{2} \cdot 3^{6} \cdot 59^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$1416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$96$ |
$0.034376$ |
$17923019113/10150596$ |
$0.99952$ |
$4.02252$ |
$[1, 1, 0, -54, 0]$ |
\(y^2+xy=x^3+x^2-54x\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 236.12.0.?, $\ldots$ |
$[]$ |
| 354.b3 |
354d1 |
354.b |
354d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 59 \) |
\( 2^{4} \cdot 3^{3} \cdot 59 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$1416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$-0.312198$ |
$4549540393/25488$ |
$0.91154$ |
$3.78892$ |
$[1, 1, 0, -34, -92]$ |
\(y^2+xy=x^3+x^2-34x-92\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
| 354.b4 |
354d4 |
354.b |
354d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2 \cdot 3^{3} \cdot 59^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$1416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$0.380949$ |
$1106469823607/654337494$ |
$1.02531$ |
$4.72496$ |
$[1, 1, 0, 216, 270]$ |
\(y^2+xy=x^3+x^2+216x+270\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 354.c1 |
354b2 |
354.c |
354b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2^{3} \cdot 3^{2} \cdot 59^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1416$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$0.183477$ |
$-1107111813625/14787288$ |
$0.95737$ |
$4.72895$ |
$[1, 0, 1, -216, -1250]$ |
\(y^2+xy+y=x^3-216x-1250\) |
3.8.0-3.a.1.1, 472.2.0.?, 1416.16.0.? |
$[]$ |
| 354.c2 |
354b1 |
354.c |
354b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2 \cdot 3^{6} \cdot 59 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1416$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$40$ |
$-0.365829$ |
$94196375/86022$ |
$0.90051$ |
$3.12830$ |
$[1, 0, 1, 9, -8]$ |
\(y^2+xy+y=x^3+9x-8\) |
3.8.0-3.a.1.2, 472.2.0.?, 1416.16.0.? |
$[]$ |
| 354.d1 |
354f1 |
354.d |
354f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2^{7} \cdot 3^{2} \cdot 59 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$472$ |
$2$ |
$0$ |
$0.043060874$ |
$1$ |
|
$14$ |
$56$ |
$-0.388250$ |
$-13997521/67968$ |
$0.90305$ |
$3.18507$ |
$[1, 1, 1, -5, 11]$ |
\(y^2+xy+y=x^3+x^2-5x+11\) |
472.2.0.? |
$[(3, 4)]$ |
| 354.e1 |
354a1 |
354.e |
354a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 59 \) |
\( 2^{2} \cdot 3 \cdot 59 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$1416$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16$ |
$-0.741082$ |
$3048625/708$ |
$0.82695$ |
$2.54378$ |
$[1, 1, 1, -3, -3]$ |
\(y^2+xy+y=x^3+x^2-3x-3\) |
2.3.0.a.1, 8.6.0.d.1, 354.6.0.?, 1416.12.0.? |
$[]$ |
| 354.e2 |
354a2 |
354.e |
354a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2 \cdot 3^{2} \cdot 59^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$1416$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$-0.394509$ |
$37595375/62658$ |
$0.89285$ |
$3.07935$ |
$[1, 1, 1, 7, -7]$ |
\(y^2+xy+y=x^3+x^2+7x-7\) |
2.3.0.a.1, 8.6.0.a.1, 708.6.0.?, 1416.12.0.? |
$[]$ |
| 354.f1 |
354e1 |
354.f |
354e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 59 \) |
\( 2^{22} \cdot 3^{9} \cdot 59 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$1416$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1584$ |
$1.298414$ |
$1437269372537979889/4870832652288$ |
$1.02707$ |
$7.12339$ |
$[1, 1, 1, -23511, -1393299]$ |
\(y^2+xy+y=x^3+x^2-23511x-1393299\) |
2.3.0.a.1, 8.6.0.d.1, 354.6.0.?, 1416.12.0.? |
$[]$ |
| 354.f2 |
354e2 |
354.f |
354e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 59 \) |
\( - 2^{11} \cdot 3^{18} \cdot 59^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$1416$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3168$ |
$1.644989$ |
$-258485808917791729/2761954759084032$ |
$1.05635$ |
$7.33685$ |
$[1, 1, 1, -13271, -2601619]$ |
\(y^2+xy+y=x^3+x^2-13271x-2601619\) |
2.3.0.a.1, 8.6.0.a.1, 708.6.0.?, 1416.12.0.? |
$[]$ |
