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.k2 |
58443n1 |
58443.k |
58443n |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$0.537545823$ |
$1$ |
|
$4$ |
$62208$ |
$0.926360$ |
$7414712369152/3571421301$ |
$0.97848$ |
$3.13692$ |
$[0, 1, 1, -2009, -14866]$ |
\(y^2+y=x^3+x^2-2009x-14866\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 42.8.0.b.1, 462.16.0.? |
$[(-14, 103)]$ |
58443.l2 |
58443p1 |
58443.l |
58443p |
$2$ |
$3$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$684288$ |
$2.125309$ |
$7414712369152/3571421301$ |
$0.97848$ |
$4.44775$ |
$[0, 1, 1, -243129, 18813845]$ |
\(y^2+y=x^3+x^2-243129x+18813845\) |
3.8.0-3.a.1.2, 42.16.0-42.b.1.4 |
$[]$ |
175329.o2 |
175329p1 |
175329.o |
175329p |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{15} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$2.177141348$ |
$1$ |
|
$8$ |
$497664$ |
$1.475666$ |
$7414712369152/3571421301$ |
$0.97848$ |
$3.39743$ |
$[0, 0, 1, -18084, 383292]$ |
\(y^2+y=x^3-18084x+383292\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 42.8.0.b.1, 462.16.0.? |
$[(14, 364), (785/2, 16763/2)]$ |
175329.p2 |
175329n1 |
175329.p |
175329n |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{15} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$42$ |
$16$ |
$0$ |
$1.489385331$ |
$1$ |
|
$4$ |
$5474304$ |
$2.674614$ |
$7414712369152/3571421301$ |
$0.97848$ |
$4.58898$ |
$[0, 0, 1, -2188164, -510161985]$ |
\(y^2+y=x^3-2188164x-510161985\) |
3.8.0-3.a.1.1, 42.16.0-42.b.1.3 |
$[(2033, 58684)]$ |
409101.u2 |
409101u1 |
409101.u |
409101u |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1.606902975$ |
$1$ |
|
$4$ |
$32845824$ |
$3.098263$ |
$7414712369152/3571421301$ |
$0.97848$ |
$4.68151$ |
$[0, -1, 1, -11913337, -6476975583]$ |
\(y^2+y=x^3-x^2-11913337x-6476975583\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 21.8.0-3.a.1.1, 42.16.0-42.b.1.1 |
$[(-2823, 68183)]$ |
409101.v2 |
409101v1 |
409101.v |
409101v |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.115359824$ |
$1$ |
|
$4$ |
$2985984$ |
$1.899315$ |
$7414712369152/3571421301$ |
$0.97848$ |
$3.56808$ |
$[0, -1, 1, -98457, 4902050]$ |
\(y^2+y=x^3-x^2-98457x+4902050\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.2, 231.8.0.?, 462.16.0.? |
$[(-226, 3944)]$ |