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 |
56100.a1 |
56100k1 |
56100.a |
56100k |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.337417928$ |
$1$ |
|
$18$ |
$138240$ |
$1.181490$ |
$-14049280/104907$ |
$[0, -1, 0, -2333, 162537]$ |
\(y^2=x^3-x^2-2333x+162537\) |
6.2.0.a.1 |
$[(67, 550), (-8, 425)]$ |
56100.bd1 |
56100r1 |
56100.bd |
56100r |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.619823406$ |
$1$ |
|
$2$ |
$27648$ |
$0.376770$ |
$-14049280/104907$ |
$[0, 1, 0, -93, 1263]$ |
\(y^2=x^3+x^2-93x+1263\) |
6.2.0.a.1 |
$[(2, 33)]$ |
168300.b1 |
168300a1 |
168300.b |
168300a |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.863585694$ |
$1$ |
|
$2$ |
$1105920$ |
$1.730795$ |
$-14049280/104907$ |
$[0, 0, 0, -21000, -4367500]$ |
\(y^2=x^3-21000x-4367500\) |
6.2.0.a.1 |
$[(229, 1683)]$ |
168300.cd1 |
168300br1 |
168300.cd |
168300br |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.937744766$ |
$1$ |
|
$4$ |
$221184$ |
$0.926076$ |
$-14049280/104907$ |
$[0, 0, 0, -840, -34940]$ |
\(y^2=x^3-840x-34940\) |
6.2.0.a.1 |
$[(56, 306)]$ |
224400.f1 |
224400ef1 |
224400.f |
224400ef |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.790266909$ |
$1$ |
|
$4$ |
$110592$ |
$0.376770$ |
$-14049280/104907$ |
$[0, -1, 0, -93, -1263]$ |
\(y^2=x^3-x^2-93x-1263\) |
6.2.0.a.1 |
$[(53, 374)]$ |
224400.iu1 |
224400ba1 |
224400.iu |
224400ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.181490$ |
$-14049280/104907$ |
$[0, 1, 0, -2333, -162537]$ |
\(y^2=x^3+x^2-2333x-162537\) |
6.2.0.a.1 |
$[]$ |