| 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.bt8 |
30030bt3 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{12} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$4.905168482$ |
$1$ |
|
$7$ |
$2322432$ |
$2.850529$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.56551$ |
$[1, 0, 0, 4220699, 295790705]$ |
\(y^2+xy=x^3+4220699x+295790705\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$ |
$[(5738, 459131)]$ |
| 90090.ce8 |
90090cd3 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{12} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$18579456$ |
$3.399834$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.60735$ |
$[1, -1, 0, 37986291, -7986349035]$ |
\(y^2+xy=x^3-x^2+37986291x-7986349035\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$ |
$[]$ |
| 150150.e8 |
150150gn3 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$22.80097458$ |
$1$ |
|
$1$ |
$55738368$ |
$3.655247$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.62418$ |
$[1, 1, 0, 105517475, 36973838125]$ |
\(y^2+xy=x^3+x^2+105517475x+36973838125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(69443660875/2653, 26569099696891450/2653)]$ |
| 210210.dn8 |
210210cg3 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{18} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$111476736$ |
$3.823483$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.63450$ |
$[1, 1, 1, 206814250, -101249397565]$ |
\(y^2+xy+y=x^3+x^2+206814250x-101249397565\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 240240.bc8 |
240240bc3 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{6} \cdot 7^{12} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$55738368$ |
$3.543674$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.30275$ |
$[0, -1, 0, 67531184, -18930605120]$ |
\(y^2=x^3-x^2+67531184x-18930605120\) |
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.2.4, $\ldots$ |
$[]$ |
| 330330.br8 |
330330br3 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{12} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$17.17370714$ |
$1$ |
|
$1$ |
$278691840$ |
$4.049477$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.64750$ |
$[1, 0, 1, 510704576, -393186723778]$ |
\(y^2+xy+y=x^3+510704576x-393186723778\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(38935996/179, 2742372578251/179)]$ |
| 390390.bz8 |
390390bz3 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{12} \cdot 11^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$390168576$ |
$4.133003$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.65207$ |
$[1, 0, 1, 713298127, 649138880756]$ |
\(y^2+xy+y=x^3+713298127x+649138880756\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 450450.hc8 |
450450hc3 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 7^{12} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$445906944$ |
$4.204552$ |
$8315279469612171276463151/4849789796887785750000$ |
$1.03026$ |
$5.65589$ |
$[1, -1, 1, 949657270, -997343972103]$ |
\(y^2+xy+y=x^3-x^2+949657270x-997343972103\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
