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 |
58443.k1 |
58443n2 |
58443.k |
58443n |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7 \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.612637470$ |
$1$ |
|
$0$ |
$186624$ |
$1.475666$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$4.16104$ |
$[0, 1, 1, -85169, 9538139]$ |
\(y^2+y=x^3+x^2-85169x+9538139\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 42.8.0.b.1, 462.16.0.? |
$[(4039/5, 18188/5)]$ |
58443.l1 |
58443p2 |
58443.l |
58443p |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7 \cdot 11^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$42$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2052864$ |
$2.674614$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$5.47187$ |
$[0, 1, 1, -10305489, -12736485250]$ |
\(y^2+y=x^3+x^2-10305489x-12736485250\) |
3.8.0-3.a.1.1, 42.16.0-42.b.1.3 |
$[]$ |
175329.o1 |
175329p2 |
175329.o |
175329p |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7 \cdot 11^{2} \cdot 23^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$2.177141348$ |
$1$ |
|
$8$ |
$1492992$ |
$2.024971$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$4.32836$ |
$[0, 0, 1, -766524, -258296283]$ |
\(y^2+y=x^3-766524x-258296283\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 42.8.0.b.1, 462.16.0.? |
$[(-505, 103), (1013, 2173)]$ |
175329.p1 |
175329n2 |
175329.p |
175329n |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7 \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$42$ |
$16$ |
$0$ |
$4.468155994$ |
$1$ |
|
$4$ |
$16422912$ |
$3.223919$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$5.51992$ |
$[0, 0, 1, -92749404, 343792352340]$ |
\(y^2+y=x^3-92749404x+343792352340\) |
3.8.0-3.a.1.2, 42.16.0-42.b.1.4 |
$[(200618, 89755924)]$ |
409101.u1 |
409101u2 |
409101.u |
409101u |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$4.820708926$ |
$1$ |
|
$0$ |
$98537472$ |
$3.647568$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$5.55140$ |
$[0, -1, 1, -504968977, 4367604502722]$ |
\(y^2+y=x^3-x^2-504968977x+4367604502722\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 21.8.0-3.a.1.2, 42.16.0-42.b.1.2 |
$[(-28491/2, 22058767/2)]$ |
409101.v1 |
409101v2 |
409101.v |
409101v |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$3.346079472$ |
$1$ |
|
$0$ |
$8957952$ |
$2.448620$ |
$564661380021747712/27978783021$ |
$1.01158$ |
$4.43797$ |
$[0, -1, 1, -4173297, -3279928345]$ |
\(y^2+y=x^3-x^2-4173297x-3279928345\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.1, 231.8.0.?, 462.16.0.? |
$[(-198277/13, 296993/13)]$ |