| 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 |
| 182.a1 |
182c1 |
182.a |
182c |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$308$ |
$0.871167$ |
$-10824513276632329/21926008832$ |
$0.99602$ |
$7.09532$ |
$[1, 0, 1, -4609, 120244]$ |
\(y^2+xy+y=x^3-4609x+120244\) |
728.2.0.? |
$[]$ |
| 182.b1 |
182e1 |
182.b |
182e |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{7} \cdot 7 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$140$ |
$0.314436$ |
$-1207949625/332678528$ |
$1.06089$ |
$5.20359$ |
$[1, -1, 0, -22, 884]$ |
\(y^2+xy=x^3-x^2-22x+884\) |
728.2.0.? |
$[]$ |
| 182.c1 |
182a4 |
182.c |
182a |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 13 \) |
\( 2^{5} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$1.450006$ |
$22868021811807457713/8953460393696$ |
$1.08758$ |
$8.56576$ |
$[1, -1, 1, -59134, 5547693]$ |
\(y^2+xy+y=x^3-x^2-59134x+5547693\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3 |
$[]$ |
| 182.c2 |
182a3 |
182.c |
182a |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 13 \) |
\( 2^{5} \cdot 7^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$1.450006$ |
$3389174547561866673/74853681183008$ |
$1.05145$ |
$8.19890$ |
$[1, -1, 1, -31294, -2081875]$ |
\(y^2+xy+y=x^3-x^2-31294x-2081875\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8 |
$[]$ |
| 182.c3 |
182a2 |
182.c |
182a |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$360$ |
$1.103434$ |
$8511781274893233/3440817243136$ |
$1.08472$ |
$7.04846$ |
$[1, -1, 1, -4254, 59693]$ |
\(y^2+xy+y=x^3-x^2-4254x+59693\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[]$ |
| 182.c4 |
182a1 |
182.c |
182a |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{20} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$180$ |
$0.756860$ |
$71903073502287/60782804992$ |
$1.03131$ |
$6.13111$ |
$[1, -1, 1, 866, 6445]$ |
\(y^2+xy+y=x^3-x^2+866x+6445\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |
| 182.d1 |
182b3 |
182.d |
182b |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2 \cdot 7 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$6552$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$108$ |
$0.680457$ |
$-424962187484640625/182$ |
$1.05379$ |
$7.79991$ |
$[1, 0, 0, -15663, -755809]$ |
\(y^2+xy=x^3-15663x-755809\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$ |
$[]$ |
| 182.d2 |
182b2 |
182.d |
182b |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{3} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$6552$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$36$ |
$0.131151$ |
$-795309684625/6028568$ |
$0.94067$ |
$5.26806$ |
$[1, 0, 0, -193, -1055]$ |
\(y^2+xy=x^3-193x-1055\) |
3.24.0-3.a.1.1, 728.2.0.?, 819.72.0.?, 2184.48.1.?, 6552.144.3.? |
$[]$ |
| 182.d3 |
182b1 |
182.d |
182b |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{9} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$6552$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$12$ |
$-0.418155$ |
$37595375/46592$ |
$0.87083$ |
$3.37716$ |
$[1, 0, 0, 7, -7]$ |
\(y^2+xy=x^3+7x-7\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$ |
$[]$ |
| 182.e1 |
182d1 |
182.e |
182d |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2 \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.557857$ |
$4019679/8918$ |
$1.11550$ |
$3.12227$ |
$[1, -1, 1, 3, -5]$ |
\(y^2+xy+y=x^3-x^2+3x-5\) |
728.2.0.? |
$[]$ |
