| 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 |
| 30030.p8 |
30030r7 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$384$ |
$5$ |
$1.346531791$ |
$1$ |
|
$4$ |
$5971968$ |
$3.242630$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00923$ |
$[1, 0, 1, 11977426, -32869643128]$ |
\(y^2+xy+y=x^3+11977426x-32869643128\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(2418, 99937)]$ |
| 90090.dr8 |
90090dv7 |
90090.dr |
90090dv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$4$ |
$47775744$ |
$3.791935$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00834$ |
$[1, -1, 1, 107796838, 887480364449]$ |
\(y^2+xy+y=x^3-x^2+107796838x+887480364449\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
| 150150.dx8 |
150150ct7 |
150150.dx |
150150ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$18.86203644$ |
$4$ |
$2$ |
$0$ |
$143327232$ |
$4.047348$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00798$ |
$[1, 1, 1, 299435662, -4108705390969]$ |
\(y^2+xy+y=x^3+x^2+299435662x-4108705390969\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[(2885363805/532, 8362648383811/532)]$ |
| 210210.bd8 |
210210ev8 |
210210.bd |
210210ev |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$286654464$ |
$4.215584$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00776$ |
$[1, 1, 0, 586893898, 11274874486716]$ |
\(y^2+xy=x^3+x^2+586893898x+11274874486716\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 240240.l8 |
240240l8 |
240240.l |
240240l |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$4.477649086$ |
$1$ |
|
$3$ |
$143327232$ |
$3.935776$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$5.67200$ |
$[0, -1, 0, 191638824, 2103657160176]$ |
\(y^2=x^3-x^2+191638824x+2103657160176\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[(46605, 10595286)]$ |
| 330330.fq8 |
330330fq8 |
330330.fq |
330330fq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 11^{7} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$716636160$ |
$4.441574$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00749$ |
$[1, 0, 0, 1449268604, 43750944271640]$ |
\(y^2+xy=x^3+1449268604x+43750944271640\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 390390.ek8 |
390390ek7 |
390390.ek |
390390ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 11 \cdot 13^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1003290624$ |
$4.525101$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00739$ |
$[1, 0, 0, 2024185075, -72216630136743]$ |
\(y^2+xy=x^3+2024185075x-72216630136743\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 450450.e8 |
450450e8 |
450450.e |
450450e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 3^{14} \cdot 5^{9} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1146617856$ |
$4.596657$ |
$190026536708029086053555111/576736012771479654093000$ |
$1.01154$ |
$6.00731$ |
$[1, -1, 0, 2694920958, 110937740477116]$ |
\(y^2+xy=x^3-x^2+2694920958x+110937740477116\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
