| 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 |
| 24546.a1 |
24546a1 |
24546.a |
24546a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{2} \cdot 3^{2} \cdot 4091 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8182$ |
$2$ |
$0$ |
$0.388822663$ |
$1$ |
|
$38$ |
$9984$ |
$-0.218565$ |
$-6826561273/147276$ |
$0.78218$ |
$2.24377$ |
$[1, 1, 0, -39, 81]$ |
\(y^2+xy=x^3+x^2-39x+81\) |
8182.2.0.? |
$[(3, 0), (0, 9), (4, 1)]$ |
| 24546.b1 |
24546b1 |
24546.b |
24546b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{31} \cdot 3^{6} \cdot 4091 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$32728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$137640$ |
$1.756577$ |
$-33203218336044207625/6404524235292672$ |
$0.94817$ |
$4.47522$ |
$[1, 0, 1, -66961, 7695332]$ |
\(y^2+xy+y=x^3-66961x+7695332\) |
32728.2.0.? |
$[]$ |
| 24546.c1 |
24546c1 |
24546.c |
24546c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{10} \cdot 3^{8} \cdot 4091 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8182$ |
$2$ |
$0$ |
$0.356649428$ |
$1$ |
|
$4$ |
$23680$ |
$0.709286$ |
$-59104797349177/27485236224$ |
$0.87704$ |
$3.19540$ |
$[1, 0, 1, -812, 11882]$ |
\(y^2+xy+y=x^3-812x+11882\) |
8182.2.0.? |
$[(-15, 151)]$ |
| 24546.d1 |
24546e1 |
24546.d |
24546e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{18} \cdot 3^{2} \cdot 4091 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8182$ |
$2$ |
$0$ |
$0.223181654$ |
$1$ |
|
$22$ |
$22464$ |
$0.595764$ |
$260060583887/9651879936$ |
$0.89323$ |
$3.01034$ |
$[1, 1, 1, 133, 4745]$ |
\(y^2+xy+y=x^3+x^2+133x+4745\) |
8182.2.0.? |
$[(-13, 38), (51, 358)]$ |
| 24546.e1 |
24546f1 |
24546.e |
24546f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{6} \cdot 3^{4} \cdot 4091 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8182$ |
$2$ |
$0$ |
$0.335406617$ |
$1$ |
|
$4$ |
$4800$ |
$0.085910$ |
$756058031/21207744$ |
$0.91757$ |
$2.40434$ |
$[1, 1, 1, 19, 227]$ |
\(y^2+xy+y=x^3+x^2+19x+227\) |
8182.2.0.? |
$[(3, 16)]$ |
| 24546.f1 |
24546d1 |
24546.f |
24546d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( 2^{22} \cdot 3^{5} \cdot 4091 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$98184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$60720$ |
$1.271389$ |
$888459868425138625/4169612132352$ |
$0.98058$ |
$4.08855$ |
$[1, 1, 1, -20028, 1078173]$ |
\(y^2+xy+y=x^3+x^2-20028x+1078173\) |
2.3.0.a.1, 8.6.0.d.1, 24546.6.0.?, 98184.12.0.? |
$[]$ |
| 24546.f2 |
24546d2 |
24546.f |
24546d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 4091 \) |
\( - 2^{11} \cdot 3^{10} \cdot 4091^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$98184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$121440$ |
$1.617962$ |
$-103707070675890625/2023957825062912$ |
$0.99545$ |
$4.22700$ |
$[1, 1, 1, -9788, 2192285]$ |
\(y^2+xy+y=x^3+x^2-9788x+2192285\) |
2.3.0.a.1, 8.6.0.a.1, 49092.6.0.?, 98184.12.0.? |
$[]$ |
