| 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.bt7 |
30030bt1 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$1.635056160$ |
$1$ |
|
$31$ |
$774144$ |
$2.301224$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.07333$ |
$[1, 0, 0, -749461, 263897441]$ |
\(y^2+xy=x^3-749461x+263897441\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.1, 6.24.0-6.a.1.4, 12.96.0-12.c.1.8, $\ldots$ |
$[(394, 5263)]$ |
| 90090.ce7 |
90090cd1 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.850529$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.16256$ |
$[1, -1, 0, -6745149, -7125230907]$ |
\(y^2+xy=x^3-x^2-6745149x-7125230907\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$ |
$[]$ |
| 150150.e7 |
150150gn1 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{8} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$7.600324862$ |
$1$ |
|
$1$ |
$18579456$ |
$3.105942$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.19845$ |
$[1, 1, 0, -18736525, 32987180125]$ |
\(y^2+xy=x^3+x^2-18736525x+32987180125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(108394/3, 33500801/3)]$ |
| 210210.dn7 |
210210cg1 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{10} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$37158912$ |
$3.274178$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.22046$ |
$[1, 1, 1, -36723590, -90553545853]$ |
\(y^2+xy+y=x^3+x^2-36723590x-90553545853\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 240240.bc7 |
240240bc1 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$18579456$ |
$2.994370$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$4.89318$ |
$[0, -1, 0, -11991376, -16889436224]$ |
\(y^2=x^3-x^2-11991376x-16889436224\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.4, $\ldots$ |
$[]$ |
| 330330.br7 |
330330br1 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$5.724569048$ |
$1$ |
|
$5$ |
$92897280$ |
$3.500172$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.24818$ |
$[1, 0, 1, -90684784, -351338178754]$ |
\(y^2+xy+y=x^3-90684784x-351338178754\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(11308, 257393)]$ |
| 390390.bz7 |
390390bz1 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$130056192$ |
$3.583698$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.25794$ |
$[1, 0, 1, -126658913, 579909336788]$ |
\(y^2+xy+y=x^3-126658913x+579909336788\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 450450.hc7 |
450450hc1 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{8} \cdot 7^{4} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$148635648$ |
$3.655247$ |
$-46555485820017544148689/3157693080314572800$ |
$0.97112$ |
$5.26610$ |
$[1, -1, 1, -168628730, -890822492103]$ |
\(y^2+xy+y=x^3-x^2-168628730x-890822492103\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
