| 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.p3 |
30030r5 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 11^{12} \cdot 13 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$384$ |
$5$ |
$4.039595373$ |
$1$ |
|
$8$ |
$1990656$ |
$2.693321$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.39061$ |
$[1, 0, 1, -2313909, 426827206]$ |
\(y^2+xy+y=x^3-2313909x+426827206\) |
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, $\ldots$ |
$[(-1006, 42177)]$ |
| 90090.dr3 |
90090dv5 |
90090.dr |
90090dv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 7^{4} \cdot 11^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$15925248$ |
$3.242630$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.44929$ |
$[1, -1, 1, -20825177, -11524334569]$ |
\(y^2+xy+y=x^3-x^2-20825177x-11524334569\) |
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, $\ldots$ |
$[]$ |
| 150150.dx3 |
150150ct5 |
150150.dx |
150150ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{6} \cdot 5^{7} \cdot 7^{4} \cdot 11^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$6.287345483$ |
$1$ |
|
$0$ |
$47775744$ |
$3.498043$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.47290$ |
$[1, 1, 1, -57847713, 53353400781]$ |
\(y^2+xy+y=x^3+x^2-57847713x+53353400781\) |
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.1.3, $\ldots$ |
$[(162021/4, 45204717/4)]$ |
| 210210.bd3 |
210210ev4 |
210210.bd |
210210ev |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{10} \cdot 11^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$95551488$ |
$3.666279$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.48737$ |
$[1, 1, 0, -113381517, -146515113261]$ |
\(y^2+xy=x^3+x^2-113381517x-146515113261\) |
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.l3 |
240240l4 |
240240.l |
240240l |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 11^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$13.43294725$ |
$1$ |
|
$1$ |
$47775744$ |
$3.386471$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.15721$ |
$[0, -1, 0, -37022536, -27316941200]$ |
\(y^2=x^3-x^2-37022536x-27316941200\) |
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.1.8, $\ldots$ |
$[(3370821/22, 2442078709/22)]$ |
| 330330.fq3 |
330330fq4 |
330330.fq |
330330fq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 11^{18} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$238878720$ |
$3.892269$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.50560$ |
$[1, 0, 0, -279982931, -568386994449]$ |
\(y^2+xy=x^3-279982931x-568386994449\) |
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.ek3 |
390390ek5 |
390390.ek |
390390ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 11^{12} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$334430208$ |
$3.975796$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.51201$ |
$[1, 0, 0, -391050540, 938130422670]$ |
\(y^2+xy=x^3-391050540x+938130422670\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[]$ |
| 450450.e3 |
450450e4 |
450450.e |
450450e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{7} \cdot 7^{4} \cdot 11^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$382205952$ |
$4.047348$ |
$1370131553911340548947529/714126686285699857170$ |
$1.00194$ |
$5.51738$ |
$[1, -1, 0, -520629417, -1441062450509]$ |
\(y^2+xy=x^3-x^2-520629417x-1441062450509\) |
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, $\ldots$ |
$[]$ |
