| 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.bt6 |
30030bt2 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$3.270112321$ |
$1$ |
|
$18$ |
$1548288$ |
$2.647797$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.87389$ |
$[1, 0, 0, -12180181, 16360637345]$ |
\(y^2+xy=x^3-12180181x+16360637345\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 4.12.0-2.a.1.1, 6.48.0-6.a.1.1, 12.96.0-12.a.1.7, $\ldots$ |
$[(2144, 9071)]$ |
| 90090.ce6 |
90090cd2 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$12386304$ |
$3.197102$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.88604$ |
$[1, -1, 0, -109621629, -441737208315]$ |
\(y^2+xy=x^3-x^2-109621629x-441737208315\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 56.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 150150.e6 |
150150gn2 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$3.800162431$ |
$1$ |
|
$6$ |
$37158912$ |
$3.452515$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.89092$ |
$[1, 1, 0, -304504525, 2045079668125]$ |
\(y^2+xy=x^3+x^2-304504525x+2045079668125\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(10034, 1451)]$ |
| 210210.dn6 |
210210cg2 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$74317824$ |
$3.620750$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.89392$ |
$[1, 1, 1, -596828870, -5612295438205]$ |
\(y^2+xy+y=x^3+x^2-596828870x-5612295438205\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 240240.bc6 |
240240bc2 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$37158912$ |
$3.340942$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.55938$ |
$[0, -1, 0, -194882896, -1047080790080]$ |
\(y^2=x^3-x^2-194882896x-1047080790080\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.11, $\ldots$ |
$[]$ |
| 330330.br6 |
330330br2 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$11.44913809$ |
$1$ |
|
$4$ |
$185794560$ |
$3.846745$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.89769$ |
$[1, 0, 1, -1473801904, -21777482108098]$ |
\(y^2+xy+y=x^3-1473801904x-21777482108098\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(1149676, 1231445474)]$ |
| 390390.bz6 |
390390bz2 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$260112384$ |
$3.930271$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.89902$ |
$[1, 0, 1, -2058450593, 35946378697556]$ |
\(y^2+xy+y=x^3-2058450593x+35946378697556\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 450450.hc6 |
450450hc2 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$297271296$ |
$4.001823$ |
$199841159336796255944706769/834505270358760000$ |
$0.99643$ |
$5.90013$ |
$[1, -1, 1, -2740540730, -55219891580103]$ |
\(y^2+xy+y=x^3-x^2-2740540730x-55219891580103\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
