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 |
27808.a1 |
27808a1 |
27808.a |
27808a |
$1$ |
$1$ |
\( 2^{5} \cdot 11 \cdot 79 \) |
\( 2^{12} \cdot 11^{2} \cdot 79 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$0.326366893$ |
$1$ |
|
$46$ |
$34560$ |
$0.287956$ |
$1302170688/9559$ |
$0.77379$ |
$2.86376$ |
$[0, 0, 0, -364, 2656]$ |
\(y^2=x^3-364x+2656\) |
316.2.0.? |
$[(2, 44), (10, 4), (18, 44)]$ |
27808.j1 |
27808j1 |
27808.j |
27808j |
$1$ |
$1$ |
\( 2^{5} \cdot 11 \cdot 79 \) |
\( 2^{12} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.287956$ |
$1302170688/9559$ |
$0.77379$ |
$2.86376$ |
$[0, 0, 0, -364, -2656]$ |
\(y^2=x^3-364x-2656\) |
316.2.0.? |
$[]$ |
55616.e1 |
55616h1 |
55616.e |
55616h |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \cdot 79 \) |
\( 2^{6} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$-0.058617$ |
$1302170688/9559$ |
$0.77379$ |
$2.30145$ |
$[0, 0, 0, -91, -332]$ |
\(y^2=x^3-91x-332\) |
316.2.0.? |
$[]$ |
55616.bf1 |
55616l1 |
55616.bf |
55616l |
$1$ |
$1$ |
\( 2^{6} \cdot 11 \cdot 79 \) |
\( 2^{6} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$-0.058617$ |
$1302170688/9559$ |
$0.77379$ |
$2.30145$ |
$[0, 0, 0, -91, 332]$ |
\(y^2=x^3-91x+332\) |
316.2.0.? |
$[]$ |
250272.g1 |
250272g1 |
250272.g |
250272g |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11 \cdot 79 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$0.837262$ |
$1302170688/9559$ |
$0.77379$ |
$2.88784$ |
$[0, 0, 0, -3276, -71712]$ |
\(y^2=x^3-3276x-71712\) |
316.2.0.? |
$[]$ |
250272.n1 |
250272n1 |
250272.n |
250272n |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11 \cdot 79 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1.303893622$ |
$1$ |
|
$2$ |
$483840$ |
$0.837262$ |
$1302170688/9559$ |
$0.77379$ |
$2.88784$ |
$[0, 0, 0, -3276, 71712]$ |
\(y^2=x^3-3276x+71712\) |
316.2.0.? |
$[(28, 44)]$ |
305888.a1 |
305888a1 |
305888.a |
305888a |
$1$ |
$1$ |
\( 2^{5} \cdot 11^{2} \cdot 79 \) |
\( 2^{12} \cdot 11^{8} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$1.486904$ |
$1302170688/9559$ |
$0.77379$ |
$3.45915$ |
$[0, 0, 0, -44044, -3535136]$ |
\(y^2=x^3-44044x-3535136\) |
316.2.0.? |
$[]$ |
305888.r1 |
305888r1 |
305888.r |
305888r |
$1$ |
$1$ |
\( 2^{5} \cdot 11^{2} \cdot 79 \) |
\( 2^{12} \cdot 11^{8} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$1.486904$ |
$1302170688/9559$ |
$0.77379$ |
$3.45915$ |
$[0, 0, 0, -44044, 3535136]$ |
\(y^2=x^3-44044x+3535136\) |
316.2.0.? |
$[]$ |