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 |
46410.be6 |
46410be2 |
46410.be |
46410be |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$185640$ |
$384$ |
$5$ |
$1.674159868$ |
$1$ |
|
$26$ |
$608256$ |
$2.104889$ |
$5877491705974396839241/261806444735062500$ |
$0.95520$ |
$4.66488$ |
$[1, 0, 1, -375973, 85217756]$ |
\(y^2+xy+y=x^3-375973x+85217756\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 40.12.0-2.a.1.1, 120.96.0.?, $\ldots$ |
$[(415, 632)]$ |
139230.df6 |
139230z2 |
139230.df |
139230z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$185640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$4866048$ |
$2.654198$ |
$5877491705974396839241/261806444735062500$ |
$0.95520$ |
$4.78872$ |
$[1, -1, 1, -3383753, -2300879419]$ |
\(y^2+xy+y=x^3-x^2-3383753x-2300879419\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 68.12.0-2.a.1.1, 120.96.0.?, $\ldots$ |
$[]$ |
232050.ek6 |
232050ek2 |
232050.ek |
232050ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{12} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$185640$ |
$384$ |
$5$ |
$8.209651108$ |
$1$ |
|
$2$ |
$14598144$ |
$2.909611$ |
$5877491705974396839241/261806444735062500$ |
$0.95520$ |
$4.83881$ |
$[1, 1, 1, -9399313, 10652219531]$ |
\(y^2+xy+y=x^3+x^2-9399313x+10652219531\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(-33109/5, 18101646/5)]$ |
324870.m6 |
324870m2 |
324870.m |
324870m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{12} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$185640$ |
$384$ |
$5$ |
$7.955880848$ |
$1$ |
|
$2$ |
$29196288$ |
$3.077847$ |
$5877491705974396839241/261806444735062500$ |
$0.95520$ |
$4.86959$ |
$[1, 1, 0, -18422653, -29248113047]$ |
\(y^2+xy=x^3+x^2-18422653x-29248113047\) |
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, $\ldots$ |
$[(-55764/5, 3569551/5)]$ |
371280.by6 |
371280by2 |
371280.by |
371280by |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$185640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$14598144$ |
$2.798038$ |
$5877491705974396839241/261806444735062500$ |
$0.95520$ |
$4.55708$ |
$[0, -1, 0, -6015560, -5453936400]$ |
\(y^2=x^3-x^2-6015560x-5453936400\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 40.12.0-2.a.1.1, $\ldots$ |
$[]$ |