| 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 |
| 73638.a1 |
73638c1 |
73638.a |
73638c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( 2^{22} \cdot 3^{11} \cdot 4091 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$98184$ |
$12$ |
$0$ |
$12.11015963$ |
$1$ |
|
$1$ |
$485760$ |
$1.820696$ |
$888459868425138625/4169612132352$ |
$0.98058$ |
$4.27593$ |
$[1, -1, 0, -180252, -29290928]$ |
\(y^2+xy=x^3-x^2-180252x-29290928\) |
2.3.0.a.1, 8.6.0.d.1, 24546.6.0.?, 98184.12.0.? |
$[(2151299/2, 3153221845/2)]$ |
| 73638.a2 |
73638c2 |
73638.a |
73638c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{11} \cdot 3^{16} \cdot 4091^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$98184$ |
$12$ |
$0$ |
$24.22031927$ |
$1$ |
|
$0$ |
$971520$ |
$2.167267$ |
$-103707070675890625/2023957825062912$ |
$0.99545$ |
$4.40080$ |
$[1, -1, 0, -88092, -59279792]$ |
\(y^2+xy=x^3-x^2-88092x-59279792\) |
2.3.0.a.1, 8.6.0.a.1, 49092.6.0.?, 98184.12.0.? |
$[(1543361165987/1694, 1916040943973463259/1694)]$ |
| 73638.b1 |
73638b1 |
73638.b |
73638b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{5} \cdot 3^{6} \cdot 4091 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$32728$ |
$2$ |
$0$ |
$1.623875493$ |
$1$ |
|
$2$ |
$21360$ |
$0.219608$ |
$-57066625/130912$ |
$0.75456$ |
$2.32478$ |
$[1, -1, 0, -72, 544]$ |
\(y^2+xy=x^3-x^2-72x+544\) |
32728.2.0.? |
$[(11, 26)]$ |
| 73638.c1 |
73638a1 |
73638.c |
73638a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{6} \cdot 3^{10} \cdot 4091 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8182$ |
$2$ |
$0$ |
$1.766211364$ |
$1$ |
|
$12$ |
$38400$ |
$0.635216$ |
$756058031/21207744$ |
$0.91757$ |
$2.75682$ |
$[1, -1, 0, 171, -5963]$ |
\(y^2+xy=x^3-x^2+171x-5963\) |
8182.2.0.? |
$[(17, 32), (98, 923)]$ |
| 73638.d1 |
73638d1 |
73638.d |
73638d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{18} \cdot 3^{8} \cdot 4091 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8182$ |
$2$ |
$0$ |
$1.798081399$ |
$1$ |
|
$2$ |
$179712$ |
$1.145071$ |
$260060583887/9651879936$ |
$0.89323$ |
$3.30342$ |
$[1, -1, 0, 1197, -126923]$ |
\(y^2+xy=x^3-x^2+1197x-126923\) |
8182.2.0.? |
$[(102, 973)]$ |
| 73638.e1 |
73638e1 |
73638.e |
73638e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{10} \cdot 3^{14} \cdot 4091 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8182$ |
$2$ |
$0$ |
$0.920181327$ |
$1$ |
|
$6$ |
$189440$ |
$1.258593$ |
$-59104797349177/27485236224$ |
$0.87704$ |
$3.47034$ |
$[1, -1, 1, -7304, -320821]$ |
\(y^2+xy+y=x^3-x^2-7304x-320821\) |
8182.2.0.? |
$[(153, 1381)]$ |
| 73638.f1 |
73638f1 |
73638.f |
73638f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{31} \cdot 3^{12} \cdot 4091 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$32728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1101120$ |
$2.305882$ |
$-33203218336044207625/6404524235292672$ |
$0.94817$ |
$4.62469$ |
$[1, -1, 1, -602645, -207773971]$ |
\(y^2+xy+y=x^3-x^2-602645x-207773971\) |
32728.2.0.? |
$[]$ |
| 73638.g1 |
73638g1 |
73638.g |
73638g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 4091 \) |
\( - 2^{2} \cdot 3^{8} \cdot 4091 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79872$ |
$0.330741$ |
$-6826561273/147276$ |
$0.78218$ |
$2.61199$ |
$[1, -1, 1, -356, -2541]$ |
\(y^2+xy+y=x^3-x^2-356x-2541\) |
8182.2.0.? |
$[]$ |
