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 |
90354.i2 |
90354g1 |
90354.i |
90354g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 11^{2} \cdot 37^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7032960$ |
$3.094280$ |
$8132677436375/27779483952$ |
$[1, 0, 1, 6368559, -13696226156]$ |
\(y^2+xy+y=x^3+6368559x-13696226156\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[]$ |
90354.v2 |
90354t1 |
90354.v |
90354t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$222$ |
$16$ |
$0$ |
$0.311873472$ |
$1$ |
|
$4$ |
$190080$ |
$1.288822$ |
$8132677436375/27779483952$ |
$[1, 0, 0, 4652, -270016]$ |
\(y^2+xy=x^3+4652x-270016\) |
3.4.0.a.1, 6.8.0.b.1, 111.8.0.?, 222.16.0.? |
$[(50, 272)]$ |
271062.i2 |
271062i1 |
271062.i |
271062i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{21} \cdot 11^{2} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$222$ |
$16$ |
$0$ |
$2.717593024$ |
$1$ |
|
$2$ |
$1520640$ |
$1.838129$ |
$8132677436375/27779483952$ |
$[1, -1, 0, 41868, 7290432]$ |
\(y^2+xy=x^3-x^2+41868x+7290432\) |
3.4.0.a.1, 6.8.0.b.1, 111.8.0.?, 222.16.0.? |
$[(-84, 1824)]$ |
271062.ba2 |
271062ba1 |
271062.ba |
271062ba |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{21} \cdot 11^{2} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56263680$ |
$3.643589$ |
$8132677436375/27779483952$ |
$[1, -1, 1, 57317035, 369798106205]$ |
\(y^2+xy+y=x^3-x^2+57317035x+369798106205\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |