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 |
83391.d1 |
83391f1 |
83391.d |
83391f |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{5} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1094400$ |
$2.181942$ |
$6869835701/4991679$ |
$0.88671$ |
$4.33758$ |
$[1, 1, 1, 271645, -27436282]$ |
\(y^2+xy+y=x^3+x^2+271645x-27436282\) |
17556.2.0.? |
$[]$ |
83391.q1 |
83391p1 |
83391.q |
83391p |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{5} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$0.440758773$ |
$1$ |
|
$2$ |
$57600$ |
$0.709723$ |
$6869835701/4991679$ |
$0.88671$ |
$2.77848$ |
$[1, 0, 1, 752, 4079]$ |
\(y^2+xy+y=x^3+752x+4079\) |
17556.2.0.? |
$[(49, 374)]$ |
250173.i1 |
250173i1 |
250173.i |
250173i |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{5} \cdot 11 \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$0.574137273$ |
$1$ |
|
$16$ |
$460800$ |
$1.259027$ |
$6869835701/4991679$ |
$0.88671$ |
$3.06321$ |
$[1, -1, 1, 6772, -110140]$ |
\(y^2+xy+y=x^3-x^2+6772x-110140\) |
17556.2.0.? |
$[(252, 4063), (105, 1270)]$ |
250173.bj1 |
250173bj1 |
250173.bj |
250173bj |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{5} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17556$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8755200$ |
$2.731247$ |
$6869835701/4991679$ |
$0.88671$ |
$4.48451$ |
$[1, -1, 0, 2444805, 743224414]$ |
\(y^2+xy=x^3-x^2+2444805x+743224414\) |
17556.2.0.? |
$[]$ |