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 |
53130.cs7 |
53130cr2 |
53130.cs |
53130cr |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$106260$ |
$384$ |
$5$ |
$1.383717590$ |
$1$ |
|
$34$ |
$2654208$ |
$2.643871$ |
$1007588745830352584072161/351347432901696000000$ |
$1.02518$ |
$5.07969$ |
$[1, 0, 0, -2088590, -732603900]$ |
\(y^2+xy=x^3-2088590x-732603900\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 44.12.0-2.a.1.1, 60.96.0-60.a.1.32, $\ldots$ |
$[(-420, 8610)]$ |
159390.bf7 |
159390dh2 |
159390.bf |
159390dh |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$106260$ |
$384$ |
$5$ |
$2.717330183$ |
$1$ |
|
$8$ |
$21233664$ |
$3.193176$ |
$1007588745830352584072161/351347432901696000000$ |
$1.02518$ |
$5.16410$ |
$[1, -1, 0, -18797310, 19780305300]$ |
\(y^2+xy=x^3-x^2-18797310x+19780305300\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 20.12.0-2.a.1.1, 60.96.0-60.a.1.16, $\ldots$ |
$[(987, 46284)]$ |
265650.i7 |
265650i2 |
265650.i |
265650i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$63700992$ |
$3.448589$ |
$1007588745830352584072161/351347432901696000000$ |
$1.02518$ |
$5.19828$ |
$[1, 1, 0, -52214750, -91575487500]$ |
\(y^2+xy=x^3+x^2-52214750x-91575487500\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
371910.do7 |
371910do2 |
371910.do |
371910do |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{12} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$3.334843510$ |
$1$ |
|
$8$ |
$127401984$ |
$3.616825$ |
$1007588745830352584072161/351347432901696000000$ |
$1.02518$ |
$5.21932$ |
$[1, 1, 1, -102340911, 251180796789]$ |
\(y^2+xy+y=x^3+x^2-102340911x+251180796789\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 42.48.0-6.a.1.1, $\ldots$ |
$[(-1569, 639450)]$ |
425040.cr7 |
425040cr2 |
425040.cr |
425040cr |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$3.779533533$ |
$1$ |
|
$9$ |
$63700992$ |
$3.337017$ |
$1007588745830352584072161/351347432901696000000$ |
$1.02518$ |
$4.90646$ |
$[0, -1, 0, -33417440, 46886649600]$ |
\(y^2=x^3-x^2-33417440x+46886649600\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 44.12.0-2.a.1.1, $\ldots$ |
$[(1162, 98098)]$ |