| 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 |
| 1190.a1 |
1190a2 |
1190.a |
1190a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$0.530757863$ |
$1$ |
|
$6$ |
$960$ |
$0.865278$ |
$7876916680687209/27200448800$ |
$0.97147$ |
$5.16863$ |
$[1, -1, 0, -4145, -101379]$ |
\(y^2+xy=x^3-x^2-4145x-101379\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-37, 1)]$ |
| 1190.a2 |
1190a1 |
1190.a |
1190a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1.061515727$ |
$1$ |
|
$7$ |
$480$ |
$0.518705$ |
$-338463151209/3731840000$ |
$1.04122$ |
$4.17216$ |
$[1, -1, 0, -145, -2979]$ |
\(y^2+xy=x^3-x^2-145x-2979\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(43, 241)]$ |
| 1190.b1 |
1190b1 |
1190.b |
1190b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{7} \cdot 5^{5} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.527341479$ |
$1$ |
|
$6$ |
$1680$ |
$0.963709$ |
$15773593568039/800013200000$ |
$0.97557$ |
$4.92129$ |
$[1, 0, 1, 522, -42744]$ |
\(y^2+xy+y=x^3+522x-42744\) |
680.2.0.? |
$[(90, 812)]$ |
| 1190.c1 |
1190c2 |
1190.c |
1190c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{3} \cdot 5 \cdot 7^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1584$ |
$0.725241$ |
$-19085751483878521/80001320$ |
$0.95098$ |
$5.29360$ |
$[1, 0, 1, -5568, -160362]$ |
\(y^2+xy+y=x^3-5568x-160362\) |
3.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[]$ |
| 1190.c2 |
1190c1 |
1190.c |
1190c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2 \cdot 5^{3} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$528$ |
$0.175934$ |
$-8502154921/60184250$ |
$0.89208$ |
$3.59323$ |
$[1, 0, 1, -43, -392]$ |
\(y^2+xy+y=x^3-43x-392\) |
3.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.? |
$[]$ |
| 1190.d1 |
1190e1 |
1190.d |
1190e |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{5} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.123871207$ |
$1$ |
|
$8$ |
$240$ |
$-0.327738$ |
$206425071/133280$ |
$0.85516$ |
$2.70351$ |
$[1, -1, 1, 12, -9]$ |
\(y^2+xy+y=x^3-x^2+12x-9\) |
680.2.0.? |
$[(3, 5)]$ |
| 1190.e1 |
1190f1 |
1190.e |
1190f |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{11} \cdot 5^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.026785632$ |
$1$ |
|
$16$ |
$528$ |
$0.472413$ |
$-79290863149681/213248000$ |
$0.91840$ |
$4.51992$ |
$[1, 1, 1, -895, 9957]$ |
\(y^2+xy+y=x^3+x^2-895x+9957\) |
680.2.0.? |
$[(-13, 146)]$ |
| 1190.f1 |
1190d4 |
1190.f |
1190d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 5^{8} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$0.746509737$ |
$1$ |
|
$4$ |
$10752$ |
$1.905197$ |
$291306206119284545407569/101150000000$ |
$1.03940$ |
$7.62933$ |
$[1, -1, 1, -1381048, 625030331]$ |
\(y^2+xy+y=x^3-x^2-1381048x+625030331\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3 |
$[(681, -239)]$ |
| 1190.f2 |
1190d3 |
1190.f |
1190d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$0.186627434$ |
$1$ |
|
$12$ |
$10752$ |
$1.905197$ |
$118495863754334673489/53596139570691200$ |
$1.03328$ |
$6.52687$ |
$[1, -1, 1, -102328, 5913787]$ |
\(y^2+xy+y=x^3-x^2-102328x+5913787\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8 |
$[(-137, 4233)]$ |
| 1190.f3 |
1190d2 |
1190.f |
1190d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$0.373254868$ |
$1$ |
|
$16$ |
$5376$ |
$1.558622$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.45484$ |
$[1, -1, 1, -86328, 9779387]$ |
\(y^2+xy+y=x^3-x^2-86328x+9779387\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[(137, 645)]$ |
| 1190.f4 |
1190d1 |
1190.f |
1190d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{28} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$0.746509737$ |
$1$ |
|
$13$ |
$2688$ |
$1.212049$ |
$-9470133471933009/13576123187200$ |
$1.05689$ |
$5.37062$ |
$[1, -1, 1, -4408, 211131]$ |
\(y^2+xy+y=x^3-x^2-4408x+211131\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[(61, 377)]$ |
