| 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.p5 |
30030r2 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$120120$ |
$384$ |
$5$ |
$2.019797686$ |
$1$ |
|
$26$ |
$995328$ |
$2.346748$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.32394$ |
$[1, 0, 1, -1840059, 959624146]$ |
\(y^2+xy+y=x^3-1840059x+959624146\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, $\ldots$ |
$[(749, 948)]$ |
| 90090.dr5 |
90090dv2 |
90090.dr |
90090dv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{18} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$120120$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$7962624$ |
$2.896053$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.38904$ |
$[1, -1, 1, -16560527, -25909851949]$ |
\(y^2+xy+y=x^3-x^2-16560527x-25909851949\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 120.96.0.?, 156.96.0.?, $\ldots$ |
$[]$ |
| 150150.dx5 |
150150ct2 |
150150.dx |
150150ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$3.143672741$ |
$1$ |
|
$4$ |
$23887872$ |
$3.151466$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.41522$ |
$[1, 1, 1, -46001463, 119953018281]$ |
\(y^2+xy+y=x^3+x^2-46001463x+119953018281\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(4431, 53840)]$ |
| 210210.bd5 |
210210ev2 |
210210.bd |
210210ev |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$47775744$ |
$3.319702$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.43128$ |
$[1, 1, 0, -90162867, -329241245031]$ |
\(y^2+xy=x^3+x^2-90162867x-329241245031\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 42.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 240240.l5 |
240240l2 |
240240.l |
240240l |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$6.716473629$ |
$1$ |
|
$5$ |
$23887872$ |
$3.039894$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.10173$ |
$[0, -1, 0, -29440936, -61415945360]$ |
\(y^2=x^3-x^2-29440936x-61415945360\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 40.12.0-2.a.1.1, $\ldots$ |
$[(167316, 68402752)]$ |
| 330330.fq5 |
330330fq2 |
330330.fq |
330330fq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$119439360$ |
$3.545696$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.45151$ |
$[1, 0, 0, -222647081, -1277482385739]$ |
\(y^2+xy=x^3-222647081x-1277482385739\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 28.12.0-2.a.1.1, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 390390.ek5 |
390390ek2 |
390390.ek |
390390ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$167215104$ |
$3.629223$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.45862$ |
$[1, 0, 0, -310969890, 2108605219200]$ |
\(y^2+xy=x^3-310969890x+2108605219200\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 450450.e5 |
450450e2 |
450450.e |
450450e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{18} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$191102976$ |
$3.700775$ |
$688999042618248810121129/779639711718968100$ |
$0.97929$ |
$5.46457$ |
$[1, -1, 0, -414013167, -3239145506759]$ |
\(y^2+xy=x^3-x^2-414013167x-3239145506759\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0-6.a.1.2, $\ldots$ |
$[]$ |
