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 |
116886.q1 |
116886r1 |
116886.q |
116886r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7 \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$4.242536040$ |
$1$ |
|
$2$ |
$1330560$ |
$2.054565$ |
$-977077413467/71221248$ |
$0.89044$ |
$4.22553$ |
$[1, 0, 1, -275157, -58972256]$ |
\(y^2+xy+y=x^3-275157x-58972256\) |
21252.2.0.? |
$[(1331, 43302)]$ |
116886.bk1 |
116886bi1 |
116886.bk |
116886bi |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7 \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$0.122263238$ |
$1$ |
|
$10$ |
$120960$ |
$0.855617$ |
$-977077413467/71221248$ |
$0.89044$ |
$2.99257$ |
$[1, 0, 0, -2274, 44100]$ |
\(y^2+xy=x^3-2274x+44100\) |
21252.2.0.? |
$[(-12, 270)]$ |
350658.bo1 |
350658bo1 |
350658.bo |
350658bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7 \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$4.656731813$ |
$1$ |
|
$2$ |
$967680$ |
$1.404922$ |
$-977077413467/71221248$ |
$0.89044$ |
$3.25135$ |
$[1, -1, 0, -20466, -1190700]$ |
\(y^2+xy=x^3-x^2-20466x-1190700\) |
21252.2.0.? |
$[(1108, 35990)]$ |
350658.ee1 |
350658ee1 |
350658.ee |
350658ee |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7 \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$1.555005823$ |
$1$ |
|
$4$ |
$10644480$ |
$2.603870$ |
$-977077413467/71221248$ |
$0.89044$ |
$4.37822$ |
$[1, -1, 1, -2476409, 1592250905]$ |
\(y^2+xy+y=x^3-x^2-2476409x+1592250905\) |
21252.2.0.? |
$[(5415, 380620)]$ |