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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
46410.b2 |
46410c2 |
46410.b |
46410c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$185640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$344064$ |
$1.823006$ |
$54564527576482291369/18314631132033600$ |
$[1, 1, 0, -79018, -5573612]$ |
\(y^2+xy=x^3+x^2-79018x-5573612\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 6188.12.0.?, $\ldots$ |
$[]$ |
139230.dv2 |
139230p2 |
139230.dv |
139230p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$185640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2752512$ |
$2.372311$ |
$54564527576482291369/18314631132033600$ |
$[1, -1, 1, -711167, 149776359]$ |
\(y^2+xy+y=x^3-x^2-711167x+149776359\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 18564.24.0.?, 61880.24.0.?, $\ldots$ |
$[]$ |
232050.hf2 |
232050hf2 |
232050.hf |
232050hf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$185640$ |
$48$ |
$0$ |
$0.781561900$ |
$1$ |
|
$16$ |
$8257536$ |
$2.627724$ |
$54564527576482291369/18314631132033600$ |
$[1, 0, 0, -1975463, -692750583]$ |
\(y^2+xy=x^3-1975463x-692750583\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 18564.12.0.?, $\ldots$ |
$[(-854, 19705)]$ |
324870.cs2 |
324870cs2 |
324870.cs |
324870cs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$185640$ |
$48$ |
$0$ |
$1.047131313$ |
$1$ |
|
$16$ |
$16515072$ |
$2.795959$ |
$54564527576482291369/18314631132033600$ |
$[1, 0, 1, -3871908, 1900133218]$ |
\(y^2+xy+y=x^3-3871908x+1900133218\) |
2.6.0.a.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, 840.24.0.?, $\ldots$ |
$[(137, 36975)]$ |
371280.eq2 |
371280eq2 |
371280.eq |
371280eq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$185640$ |
$48$ |
$0$ |
$0.952810037$ |
$1$ |
|
$15$ |
$8257536$ |
$2.516151$ |
$54564527576482291369/18314631132033600$ |
$[0, 1, 0, -1264296, 354182580]$ |
\(y^2=x^3+x^2-1264296x+354182580\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 6188.12.0.?, $\ldots$ |
$[(132, 13770)]$ |