| 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.p4 |
30030r3 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$384$ |
$5$ |
$1.346531791$ |
$1$ |
|
$7$ |
$1492992$ |
$2.549480$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.33135$ |
$[1, 0, 1, -1887574, 907392872]$ |
\(y^2+xy+y=x^3-1887574x+907392872\) |
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, $\ldots$ |
$[(1045, 8213)]$ |
| 90090.dr4 |
90090dv3 |
90090.dr |
90090dv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{12} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$11943936$ |
$3.098789$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.39574$ |
$[1, -1, 1, -16988162, -24499607551]$ |
\(y^2+xy+y=x^3-x^2-16988162x-24499607551\) |
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.dx4 |
150150ct3 |
150150.dx |
150150ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{18} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$4.715509112$ |
$1$ |
|
$3$ |
$35831808$ |
$3.354198$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.42164$ |
$[1, 1, 1, -47189338, 113424109031]$ |
\(y^2+xy+y=x^3+x^2-47189338x+113424109031\) |
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.1.2, $\ldots$ |
$[(2945, 627)]$ |
| 210210.bd4 |
210210ev3 |
210210.bd |
210210ev |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{9} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$71663616$ |
$3.522438$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.43752$ |
$[1, 1, 0, -92491102, -311328246284]$ |
\(y^2+xy=x^3+x^2-92491102x-311328246284\) |
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.l4 |
240240l3 |
240240.l |
240240l |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$4.477649086$ |
$1$ |
|
$3$ |
$35831808$ |
$3.242630$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.10790$ |
$[0, -1, 0, -30201176, -58073143824]$ |
\(y^2=x^3-x^2-30201176x-58073143824\) |
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, $\ldots$ |
$[(12460, 1224704)]$ |
| 330330.fq4 |
330330fq3 |
330330.fq |
330330fq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 11^{7} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$179159040$ |
$3.748428$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.45752$ |
$[1, 0, 0, -228396396, -1207968309360]$ |
\(y^2+xy=x^3-228396396x-1207968309360\) |
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.ek4 |
390390ek3 |
390390.ek |
390390ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$250822656$ |
$3.831955$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.46456$ |
$[1, 0, 0, -318999925, 1993861140257]$ |
\(y^2+xy=x^3-318999925x+1993861140257\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
| 450450.e4 |
450450e3 |
450450.e |
450450e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{18} \cdot 7^{3} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$286654464$ |
$3.903507$ |
$743764321292317933404889/74603529000000000000$ |
$0.98119$ |
$5.47045$ |
$[1, -1, 0, -424704042, -3062875647884]$ |
\(y^2+xy=x^3-x^2-424704042x-3062875647884\) |
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, $\ldots$ |
$[]$ |
