| 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.bt4 |
30030bt6 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$9.810336964$ |
$1$ |
|
$2$ |
$4644864$ |
$3.197102$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97016$ |
$[1, 0, 0, -16956121, 2366883701]$ |
\(y^2+xy=x^3-16956121x+2366883701\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 4.12.0-2.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.2.15, $\ldots$ |
$[(433174/5, 275915633/5)]$ |
| 90090.ce4 |
90090cd6 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{12} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$37158912$ |
$3.746407$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97303$ |
$[1, -1, 0, -152605089, -63905859927]$ |
\(y^2+xy=x^3-x^2-152605089x-63905859927\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 12.96.0-12.a.2.13, 56.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 150150.e4 |
150150gn6 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{18} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$11.40048729$ |
$1$ |
|
$2$ |
$111476736$ |
$4.001823$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97419$ |
$[1, 1, 0, -423903025, 295860462625]$ |
\(y^2+xy=x^3+x^2-423903025x+295860462625\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 15.8.0-3.a.1.1, $\ldots$ |
$[(2368405/7, 3294709795/7)]$ |
| 210210.dn4 |
210210cg6 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7^{12} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$222953472$ |
$4.170059$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97489$ |
$[1, 1, 1, -830849930, -812671959373]$ |
\(y^2+xy+y=x^3+x^2-830849930x-812671959373\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 240240.bc4 |
240240bc6 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$111476736$ |
$3.890251$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.63948$ |
$[0, -1, 0, -271297936, -151480556864]$ |
\(y^2=x^3-x^2-271297936x-151480556864\) |
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.2.5, $\ldots$ |
$[]$ |
| 330330.br4 |
330330br6 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$34.34741429$ |
$1$ |
|
$2$ |
$557383680$ |
$4.396049$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97579$ |
$[1, 0, 1, -2051690644, -3152373896674]$ |
\(y^2+xy+y=x^3-2051690644x-3152373896674\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 33.8.0-3.a.1.1, $\ldots$ |
$[(175560264908885032/390757, 73468124204260258644469154/390757)]$ |
| 390390.bz4 |
390390bz6 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 11^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$780337152$ |
$4.479576$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97610$ |
$[1, 0, 1, -2865584453, 5202909075548]$ |
\(y^2+xy+y=x^3-2865584453x+5202909075548\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 450450.hc4 |
450450hc6 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{18} \cdot 7^{6} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$891813888$ |
$4.551125$ |
$539142086340577084766074129/309580507925165039062500$ |
$1.04018$ |
$5.97636$ |
$[1, -1, 1, -3815127230, -7992047618103]$ |
\(y^2+xy+y=x^3-x^2-3815127230x-7992047618103\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
