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 |
22386.q1 |
22386o1 |
22386.q |
22386o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 7^{5} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.789820823$ |
$1$ |
|
$4$ |
$18400$ |
$0.704510$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.16488$ |
$[1, 1, 1, 280, 8969]$ |
\(y^2+xy+y=x^3+x^2+280x+8969\) |
2184.2.0.? |
$[(-7, 85)]$ |
67158.f1 |
67158o1 |
67158.f |
67158o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{5} \cdot 13 \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147200$ |
$1.253815$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.44511$ |
$[1, -1, 0, 2520, -239648]$ |
\(y^2+xy=x^3-x^2+2520x-239648\) |
2184.2.0.? |
$[]$ |
156702.co1 |
156702g1 |
156702.co |
156702g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 7^{11} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.214330897$ |
$1$ |
|
$2$ |
$883200$ |
$1.677464$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.62608$ |
$[1, 0, 0, 13719, -3035271]$ |
\(y^2+xy=x^3+13719x-3035271\) |
2184.2.0.? |
$[(368, 7019)]$ |
179088.cd1 |
179088m1 |
179088.cd |
179088m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{17} \cdot 3 \cdot 7^{5} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$2.156416445$ |
$1$ |
|
$2$ |
$441600$ |
$1.397657$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.30845$ |
$[0, 1, 0, 4480, -565068]$ |
\(y^2=x^3+x^2+4480x-565068\) |
2184.2.0.? |
$[(1092, 36162)]$ |
291018.l1 |
291018l1 |
291018.l |
291018l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 7^{5} \cdot 13^{7} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.506733166$ |
$1$ |
|
$4$ |
$3091200$ |
$1.986984$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.74288$ |
$[1, 1, 0, 47317, 19468701]$ |
\(y^2+xy=x^3+x^2+47317x+19468701\) |
2184.2.0.? |
$[(-47, 4164)]$ |
470106.cm1 |
470106cm1 |
470106.cm |
470106cm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{11} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.163058055$ |
$1$ |
|
$4$ |
$7065600$ |
$2.226772$ |
$2427173723519/35259203616$ |
$0.89734$ |
$3.82576$ |
$[1, -1, 0, 123471, 81952317]$ |
\(y^2+xy=x^3-x^2+123471x+81952317\) |
2184.2.0.? |
$[(1297, 48572)]$ |