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 |
259182.r1 |
259182r1 |
259182.r |
259182r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{9} \cdot 7^{5} \cdot 11^{8} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.420005011$ |
$1$ |
|
$10$ |
$11404800$ |
$2.468361$ |
$-19438895619/9714446$ |
$[1, -1, 0, -905163, 452716919]$ |
\(y^2+xy=x^3-x^2-905163x+452716919\) |
168.2.0.? |
$[(-635, 28087), (727/2, 136487/2)]$ |
259182.cu1 |
259182cu1 |
259182.cu |
259182cu |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 7^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.388519422$ |
$1$ |
|
$4$ |
$345600$ |
$0.720108$ |
$-19438895619/9714446$ |
$[1, -1, 0, -831, 12799]$ |
\(y^2+xy=x^3-x^2-831x+12799\) |
168.2.0.? |
$[(15, 52)]$ |
259182.ee1 |
259182ee1 |
259182.ee |
259182ee |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{9} \cdot 7^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.551701860$ |
$1$ |
|
$0$ |
$1036800$ |
$1.269415$ |
$-19438895619/9714446$ |
$[1, -1, 1, -7481, -338093]$ |
\(y^2+xy+y=x^3-x^2-7481x-338093\) |
168.2.0.? |
$[(475/2, 4813/2)]$ |
259182.fd1 |
259182fd1 |
259182.fd |
259182fd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 7^{5} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3801600$ |
$1.919056$ |
$-19438895619/9714446$ |
$[1, -1, 1, -100574, -16733769]$ |
\(y^2+xy+y=x^3-x^2-100574x-16733769\) |
168.2.0.? |
$[]$ |