| 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.bt1 |
30030bt8 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{24} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$19.62067392$ |
$4$ |
$2$ |
$0$ |
$9289728$ |
$3.543674$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.68085$ |
$[1, 0, 0, -195003991, 1045763011475]$ |
\(y^2+xy=x^3-195003991x+1045763011475\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.5, $\ldots$ |
$[(372051541/140, 5586766651241/140)]$ |
| 90090.ce1 |
90090cd8 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5^{24} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$4$ |
$74317824$ |
$4.092979$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.61528$ |
$[1, -1, 0, -1755035919, -28235601309825]$ |
\(y^2+xy=x^3-x^2-1755035919x-28235601309825\) |
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.e1 |
150150gn7 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{30} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$22.80097458$ |
$4$ |
$2$ |
$0$ |
$222953472$ |
$4.348396$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.58891$ |
$[1, 1, 0, -4875099775, 130720376434375]$ |
\(y^2+xy=x^3+x^2-4875099775x+130720376434375\) |
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, $\ldots$ |
$[(10436689271/413, 550334559759055/413)]$ |
| 210210.dn1 |
210210cg8 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{24} \cdot 7^{9} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$445906944$ |
$4.516632$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.57274$ |
$[1, 1, 1, -9555195560, -358706268131485]$ |
\(y^2+xy+y=x^3+x^2-9555195560x-358706268131485\) |
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.bc1 |
240240bc8 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3 \cdot 5^{24} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$1$ |
$222953472$ |
$4.236824$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.23089$ |
$[0, -1, 0, -3120063856, -66928832734400]$ |
\(y^2=x^3-x^2-3120063856x-66928832734400\) |
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.1.5, $\ldots$ |
$[]$ |
| 330330.br1 |
330330br8 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{24} \cdot 7^{3} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$68.69482858$ |
$4$ |
$2$ |
$0$ |
$1114767360$ |
$4.742622$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.55237$ |
$[1, 0, 1, -23595482914, -1391934163756138]$ |
\(y^2+xy+y=x^3-23595482914x-1391934163756138\) |
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, $\ldots$ |
$[(-15863288795145457106905078996716/13231616543875, 3488024886860797189211703040498614965402099827/13231616543875)]$ |
| 390390.bz1 |
390390bz7 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 5^{24} \cdot 7^{3} \cdot 11^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1560674304$ |
$4.826149$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.54521$ |
$[1, 0, 1, -32955674483, 2297574291885056]$ |
\(y^2+xy+y=x^3-32955674483x+2297574291885056\) |
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, $\ldots$ |
$[]$ |
| 450450.hc1 |
450450hc8 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5^{30} \cdot 7^{3} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1783627776$ |
$4.897697$ |
$820076206880893214178646273009/2122496008872985839843750$ |
$1.01731$ |
$6.53921$ |
$[1, -1, 1, -43875897980, -3529494039626103]$ |
\(y^2+xy+y=x^3-x^2-43875897980x-3529494039626103\) |
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, $\ldots$ |
$[]$ |
