| 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.p1 |
30030r8 |
30030.p |
30030r |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7^{12} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$120120$ |
$384$ |
$5$ |
$1.346531791$ |
$1$ |
|
$4$ |
$5971968$ |
$3.242630$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.50279$ |
$[1, 0, 1, -105752574, -418583571128]$ |
\(y^2+xy+y=x^3-105752574x-418583571128\) |
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, $\ldots$ |
$[(-5950, 108)]$ |
| 90090.dr1 |
90090dv8 |
90090.dr |
90090dv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{3} \cdot 7^{12} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$47775744$ |
$3.791935$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.45437$ |
$[1, -1, 1, -951773162, 11301756420449]$ |
\(y^2+xy+y=x^3-x^2-951773162x+11301756420449\) |
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.dx1 |
150150ct8 |
150150.dx |
150150ct |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{9} \cdot 7^{12} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$18.86203644$ |
$1$ |
|
$0$ |
$143327232$ |
$4.047348$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.43490$ |
$[1, 1, 1, -2643814338, -52322946390969]$ |
\(y^2+xy+y=x^3+x^2-2643814338x-52322946390969\) |
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, $\ldots$ |
$[(-4913931105/406, 849852119957/406)]$ |
| 210210.bd1 |
210210ev7 |
210210.bd |
210210ev |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7^{18} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$286654464$ |
$4.215584$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.42296$ |
$[1, 1, 0, -5181876102, 143568983020716]$ |
\(y^2+xy=x^3+x^2-5181876102x+143568983020716\) |
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.l1 |
240240l7 |
240240.l |
240240l |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{3} \cdot 7^{12} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$4.477649086$ |
$1$ |
|
$3$ |
$143327232$ |
$3.935776$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.08272$ |
$[0, -1, 0, -1692041176, 26789348552176]$ |
\(y^2=x^3-x^2-1692041176x+26789348552176\) |
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, $\ldots$ |
$[(24333, 154154)]$ |
| 330330.fq1 |
330330fq7 |
330330.fq |
330330fq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7^{12} \cdot 11^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$716636160$ |
$4.441574$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.40792$ |
$[1, 0, 0, -12796061396, 557121937109640]$ |
\(y^2+xy=x^3-12796061396x+557121937109640\) |
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.ek1 |
390390ek8 |
390390.ek |
390390ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7^{12} \cdot 11^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1003290624$ |
$4.525101$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.40262$ |
$[1, 0, 0, -17872184925, -919610233582743]$ |
\(y^2+xy=x^3-17872184925x-919610233582743\) |
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.e1 |
450450e7 |
450450.e |
450450e |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{9} \cdot 7^{12} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1146617856$ |
$4.596657$ |
$130796627670002750950880364889/4007004103295286093000$ |
$1.01306$ |
$6.39820$ |
$[1, -1, 0, -23794329042, 1412695758227116]$ |
\(y^2+xy=x^3-x^2-23794329042x+1412695758227116\) |
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, $\ldots$ |
$[]$ |
