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.i1 |
58443k1 |
58443.i |
58443k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{4} \cdot 11^{8} \cdot 23^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$552$ |
$4$ |
$0$ |
$0.713409357$ |
$1$ |
|
$16$ |
$2280960$ |
$2.707329$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$5.13334$ |
$[1, 1, 1, -2515895, -1987640962]$ |
\(y^2+xy+y=x^3+x^2-2515895x-1987640962\) |
4.2.0.a.1, 552.4.0.? |
$[(1986, 28228), (6126, 457960)]$ |
58443.q1 |
58443e1 |
58443.q |
58443e |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{4} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$6072$ |
$4$ |
$0$ |
$0.556842817$ |
$1$ |
|
$4$ |
$207360$ |
$1.508383$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$3.82251$ |
$[1, 1, 0, -20792, 1483893]$ |
\(y^2+xy=x^3+x^2-20792x+1483893\) |
4.2.0.a.1, 6072.4.0.? |
$[(164, 1505)]$ |
175329.g1 |
175329f1 |
175329.g |
175329f |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{8} \cdot 7^{4} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$2024$ |
$4$ |
$0$ |
$3.725502631$ |
$1$ |
|
$2$ |
$1658880$ |
$2.057690$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$4.02063$ |
$[1, -1, 1, -187133, -40252242]$ |
\(y^2+xy+y=x^3-x^2-187133x-40252242\) |
4.2.0.a.1, 2024.4.0.? |
$[(31776, 5647850)]$ |
175329.s1 |
175329s1 |
175329.s |
175329s |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{8} \cdot 7^{4} \cdot 11^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$184$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18247680$ |
$3.256638$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$5.21219$ |
$[1, -1, 0, -22643055, 53643662914]$ |
\(y^2+xy=x^3-x^2-22643055x+53643662914\) |
4.2.0.a.1, 184.4.0.? |
$[]$ |
409101.n1 |
409101n1 |
409101.n |
409101n |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{10} \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3864$ |
$4$ |
$0$ |
$1.504978503$ |
$1$ |
|
$2$ |
$109486080$ |
$3.680286$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$5.26385$ |
$[1, 0, 0, -123278856, 681391013337]$ |
\(y^2+xy=x^3-123278856x+681391013337\) |
4.2.0.a.1, 3864.4.0.? |
$[(5576, 406313)]$ |
409101.br1 |
409101br1 |
409101.br |
409101br |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{10} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$42504$ |
$4$ |
$0$ |
$3.730764881$ |
$1$ |
|
$0$ |
$9953280$ |
$2.481339$ |
$-8215987648966801/3198907525401$ |
$0.94634$ |
$4.15042$ |
$[1, 0, 1, -1018834, -512031775]$ |
\(y^2+xy+y=x^3-1018834x-512031775\) |
4.2.0.a.1, 42504.4.0.? |
$[(22317/4, 1743883/4)]$ |