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 |
73689.o1 |
73689u1 |
73689.o |
73689u |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{5} \cdot 7^{7} \cdot 11^{8} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.810276776$ |
$1$ |
|
$0$ |
$1552320$ |
$2.529541$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$4.94789$ |
$[0, 1, 1, -2220995, -1241532682]$ |
\(y^2+y=x^3+x^2-2220995x-1241532682\) |
42.2.0.a.1 |
$[(-3107/2, 31577/2)]$ |
73689.p1 |
73689w1 |
73689.p |
73689w |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{5} \cdot 7^{7} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.156037560$ |
$1$ |
|
$6$ |
$141120$ |
$1.330593$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$3.66417$ |
$[0, 1, 1, -18355, 926107]$ |
\(y^2+y=x^3+x^2-18355x+926107\) |
42.2.0.a.1 |
$[(5, 913)]$ |
221067.o1 |
221067p1 |
221067.o |
221067p |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{11} \cdot 7^{7} \cdot 11^{8} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12418560$ |
$3.078846$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$5.04181$ |
$[0, 0, 1, -19988958, 33501393450]$ |
\(y^2+y=x^3-19988958x+33501393450\) |
42.2.0.a.1 |
$[]$ |
221067.p1 |
221067o1 |
221067.p |
221067o |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{11} \cdot 7^{7} \cdot 11^{2} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.823482495$ |
$1$ |
|
$14$ |
$1128960$ |
$1.879900$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$3.87270$ |
$[0, 0, 1, -165198, -25170093]$ |
\(y^2+y=x^3-165198x-25170093\) |
42.2.0.a.1 |
$[(-219, 710), (5465, 402853)]$ |