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.l1 |
22386l1 |
22386.l |
22386l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.225244952$ |
$1$ |
|
$6$ |
$54432$ |
$1.312307$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$3.86558$ |
$[1, 0, 1, 5732, 296324]$ |
\(y^2+xy+y=x^3+5732x+296324\) |
2184.2.0.? |
$[(94, 1244)]$ |
67158.bl1 |
67158bx1 |
67158.bl |
67158bx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{15} \cdot 7^{3} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.977293803$ |
$1$ |
|
$0$ |
$435456$ |
$1.861614$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$4.07655$ |
$[1, -1, 1, 51592, -8000755]$ |
\(y^2+xy+y=x^3-x^2+51592x-8000755\) |
2184.2.0.? |
$[(3237/4, 202717/4)]$ |
156702.f1 |
156702co1 |
156702.f |
156702co |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{9} \cdot 7^{9} \cdot 13^{3} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2612736$ |
$2.285263$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$4.21279$ |
$[1, 1, 0, 280892, -101358326]$ |
\(y^2+xy=x^3+x^2+280892x-101358326\) |
2184.2.0.? |
$[]$ |
179088.x1 |
179088bm1 |
179088.x |
179088bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1306368$ |
$2.005455$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$3.88868$ |
$[0, -1, 0, 91720, -18964752]$ |
\(y^2=x^3-x^2+91720x-18964752\) |
2184.2.0.? |
$[]$ |
291018.cv1 |
291018cv1 |
291018.cv |
291018cv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2 \cdot 3^{9} \cdot 7^{3} \cdot 13^{9} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9144576$ |
$2.594784$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$4.30073$ |
$[1, 0, 0, 968789, 650055587]$ |
\(y^2+xy=x^3+968789x+650055587\) |
2184.2.0.? |
$[]$ |
470106.fq1 |
470106fq1 |
470106.fq |
470106fq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{15} \cdot 7^{9} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$6.443022364$ |
$1$ |
|
$0$ |
$20901888$ |
$2.834568$ |
$20832968985844679/49866992732466$ |
$0.93066$ |
$4.36312$ |
$[1, -1, 1, 2528023, 2739202827]$ |
\(y^2+xy+y=x^3-x^2+2528023x+2739202827\) |
2184.2.0.? |
$[(62639/2, 15700299/2)]$ |