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.u1 |
22386bc2 |
22386.u |
22386bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{12} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6396$ |
$16$ |
$0$ |
$0.435839725$ |
$1$ |
|
$6$ |
$1306368$ |
$2.713951$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99606$ |
$[1, 0, 0, -10303962, -12729674844]$ |
\(y^2+xy=x^3-10303962x-12729674844\) |
3.8.0-3.a.1.1, 6396.16.0.? |
$[(-1866, -96)]$ |
67158.z1 |
67158x2 |
67158.z |
67158x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{12} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6396$ |
$16$ |
$0$ |
$3.445857461$ |
$1$ |
|
$6$ |
$10450944$ |
$3.263256$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99645$ |
$[1, -1, 0, -92735658, 343701220788]$ |
\(y^2+xy=x^3-x^2-92735658x+343701220788\) |
3.8.0-3.a.1.2, 6396.16.0.? |
$[(796, 519590)]$ |
156702.cc1 |
156702bo2 |
156702.cc |
156702bo |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{18} \cdot 13 \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62705664$ |
$3.686905$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99670$ |
$[1, 1, 1, -504894139, 4365773577353]$ |
\(y^2+xy+y=x^3+x^2-504894139x+4365773577353\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 6396.8.0.?, 44772.16.0.? |
$[]$ |
179088.c1 |
179088ba2 |
179088.c |
179088ba |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{3} \cdot 7^{12} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6396$ |
$16$ |
$0$ |
$9.797597855$ |
$1$ |
|
$0$ |
$31352832$ |
$3.407097$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.65291$ |
$[0, -1, 0, -164863392, 814699190016]$ |
\(y^2=x^3-x^2-164863392x+814699190016\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 3198.8.0.?, 6396.16.0.? |
$[(38084666/73, 14757655262/73)]$ |
291018.bp1 |
291018bp2 |
291018.bp |
291018bp |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{12} \cdot 13^{7} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6396$ |
$16$ |
$0$ |
$6.205120653$ |
$1$ |
|
$0$ |
$219469824$ |
$3.996426$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99687$ |
$[1, 0, 1, -1741369582, -27965354262688]$ |
\(y^2+xy+y=x^3-1741369582x-27965354262688\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 492.8.0.?, 6396.16.0.? |
$[(-1953155/9, 56319029/9)]$ |
470106.n1 |
470106n2 |
470106.n |
470106n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{18} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$16.68600106$ |
$1$ |
|
$0$ |
$501645312$ |
$4.236214$ |
$120986373702456846135875233/21429653098766238144$ |
$0.99989$ |
$5.99698$ |
$[1, -1, 0, -4544047251, -117880430635787]$ |
\(y^2+xy=x^3-x^2-4544047251x-117880430635787\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 6396.8.0.?, 44772.16.0.? |
$[(288029054/37, 4592457149129/37)]$ |