| 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 |
| 39270.bg1 |
39270bh8 |
39270.bg |
39270bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{24} \cdot 7 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$31416$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$15925248$ |
$3.718399$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.48057$ |
$[1, 0, 1, -174903109, 722537464496]$ |
\(y^2+xy+y=x^3-174903109x+722537464496\) |
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, $\ldots$ |
$[]$ |
| 117810.ei1 |
117810el8 |
117810.ei |
117810el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{24} \cdot 7 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$31416$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$4$ |
$127401984$ |
$4.267700$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.43535$ |
$[1, -1, 1, -1574127977, -19508511541399]$ |
\(y^2+xy+y=x^3-x^2-1574127977x-19508511541399\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 196350.dv1 |
196350cv7 |
196350.dv |
196350cv |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{30} \cdot 7 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$382205952$ |
$4.523117$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.41711$ |
$[1, 1, 1, -4372577713, 90317183062031]$ |
\(y^2+xy+y=x^3+x^2-4372577713x+90317183062031\) |
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, $\ldots$ |
$[]$ |
| 274890.bj1 |
274890bj8 |
274890.bj |
274890bj |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{24} \cdot 7^{7} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$2.369566166$ |
$1$ |
|
$2$ |
$764411904$ |
$4.691353$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.40590$ |
$[1, 1, 0, -8570252317, -247838920574531]$ |
\(y^2+xy=x^3+x^2-8570252317x-247838920574531\) |
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, $\ldots$ |
$[(244993, 111041566)]$ |
| 314160.o1 |
314160o8 |
314160.o |
314160o |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{24} \cdot 7 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$1$ |
$382205952$ |
$4.411545$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.07305$ |
$[0, -1, 0, -2798449736, -46242397727760]$ |
\(y^2=x^3-x^2-2798449736x-46242397727760\) |
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, $\ldots$ |
$[]$ |
| 431970.gf1 |
431970gf8 |
431970.gf |
431970gf |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{24} \cdot 7 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$7.693948101$ |
$1$ |
|
$2$ |
$1911029760$ |
$4.917343$ |
$591720065532918583239955136329/116891407012939453125000000$ |
$1.01565$ |
$6.39176$ |
$[1, 0, 0, -21163276131, -961718528520639]$ |
\(y^2+xy=x^3-21163276131x-961718528520639\) |
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, $\ldots$ |
$[(772320, 665470911)]$ |
