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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
246.a1 |
246d1 |
246.a |
246d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2^{6} \cdot 3^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$0.317426609$ |
$1$ |
|
$9$ |
$48$ |
$-0.141864$ |
$32553430057/212544$ |
$[1, 1, 0, -66, 180]$ |
\(y^2+xy=x^3+x^2-66x+180\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[(3, 3)]$ |
246.a2 |
246d2 |
246.a |
246d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{3} \cdot 3^{8} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$0.634853219$ |
$1$ |
|
$6$ |
$96$ |
$0.204710$ |
$-2062933417/88232328$ |
$[1, 1, 0, -26, 444]$ |
\(y^2+xy=x^3+x^2-26x+444\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[(1, 20)]$ |
246.b1 |
246g1 |
246.b |
246g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{11} \cdot 3 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44$ |
$-0.187590$ |
$-7916293657/251904$ |
$[1, 1, 0, -41, -123]$ |
\(y^2+xy=x^3+x^2-41x-123\) |
984.2.0.? |
$[]$ |
246.c1 |
246c1 |
246.c |
246c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2^{14} \cdot 3^{12} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1680$ |
$1.714380$ |
$10341755683137709164937/356992303104$ |
$[1, 0, 1, -453897, -117739700]$ |
\(y^2+xy+y=x^3-453897x-117739700\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[]$ |
246.c2 |
246c2 |
246.c |
246c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{7} \cdot 3^{24} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$2.060955$ |
$-10298071306410575356297/60769798505543808$ |
$[1, 0, 1, -453257, -118088116]$ |
\(y^2+xy+y=x^3-453257x-118088116\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[]$ |
246.d1 |
246f1 |
246.d |
246f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2 \cdot 3^{3} \cdot 41 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$984$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$20$ |
$-0.674205$ |
$-389017/2214$ |
$[1, 0, 1, -2, 2]$ |
\(y^2+xy+y=x^3-2x+2\) |
3.8.0-3.a.1.2, 984.16.0.? |
$[]$ |
246.d2 |
246f2 |
246.d |
246f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{3} \cdot 3 \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$984$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$-0.124899$ |
$270840023/1654104$ |
$[1, 0, 1, 13, -58]$ |
\(y^2+xy+y=x^3+13x-58\) |
3.8.0-3.a.1.1, 984.16.0.? |
$[]$ |
246.e1 |
246a1 |
246.e |
246a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{3} \cdot 3^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84$ |
$0.096952$ |
$-2177286259681/717336$ |
$[1, 1, 1, -270, -1821]$ |
\(y^2+xy+y=x^3+x^2-270x-1821\) |
984.2.0.? |
$[]$ |
246.f1 |
246e3 |
246.f |
246e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2 \cdot 3^{8} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.102 |
2B |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.163142$ |
$9357915116017/538002$ |
$[1, 0, 0, -439, -3577]$ |
\(y^2+xy=x^3-439x-3577\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 164.12.0.?, 328.48.0.? |
$[]$ |
246.f2 |
246e2 |
246.f |
246e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2^{2} \cdot 3^{4} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$48$ |
$-0.183431$ |
$2703045457/544644$ |
$[1, 0, 0, -29, -51]$ |
\(y^2+xy=x^3-29x-51\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 164.24.0.?, 328.48.0.? |
$[]$ |
246.f3 |
246e1 |
246.f |
246e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \) |
\( 2^{4} \cdot 3^{2} \cdot 41 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.53 |
2B |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24$ |
$-0.530005$ |
$81182737/5904$ |
$[1, 0, 0, -9, 9]$ |
\(y^2+xy=x^3-9x+9\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 82.6.0.?, 164.24.0.?, $\ldots$ |
$[]$ |
246.f4 |
246e4 |
246.f |
246e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2 \cdot 3^{2} \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.59 |
2B |
$328$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.163142$ |
$25076571983/50863698$ |
$[1, 0, 0, 61, -285]$ |
\(y^2+xy=x^3+61x-285\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 328.48.0.? |
$[]$ |
246.g1 |
246b2 |
246.g |
246b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1500$ |
$1.695080$ |
$-21525971829968662032241/11122195296$ |
$[1, 0, 0, -579535, -169860007]$ |
\(y^2+xy=x^3-579535x-169860007\) |
5.24.0-5.a.2.2, 984.2.0.?, 4920.48.1.? |
$[]$ |
246.g2 |
246b1 |
246.g |
246b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 41 \) |
\( - 2^{25} \cdot 3^{5} \cdot 41 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$4920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$300$ |
$0.890360$ |
$-592915705201/334302806016$ |
$[1, 0, 0, -175, -27847]$ |
\(y^2+xy=x^3-175x-27847\) |
5.24.0-5.a.1.2, 984.2.0.?, 4920.48.1.? |
$[]$ |