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 |
13167.e1 |
13167b2 |
13167.e |
13167b |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{9} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$8778$ |
$16$ |
$0$ |
$0.574158943$ |
$1$ |
|
$4$ |
$15552$ |
$1.012552$ |
$117361115136/63905303$ |
$0.92407$ |
$3.72950$ |
$[0, 0, 1, -2754, 13520]$ |
\(y^2+y=x^3-2754x+13520\) |
3.8.0-3.a.1.1, 8778.16.0.? |
$[(-24, 256)]$ |
13167.j2 |
13167d1 |
13167.j |
13167d |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{3} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$8778$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5184$ |
$0.463247$ |
$117361115136/63905303$ |
$0.92407$ |
$3.03457$ |
$[0, 0, 1, -306, -501]$ |
\(y^2+y=x^3-306x-501\) |
3.8.0-3.a.1.2, 8778.16.0.? |
$[]$ |
92169.q2 |
92169c1 |
92169.q |
92169c |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$0.386885288$ |
$1$ |
|
$6$ |
$248832$ |
$1.436201$ |
$117361115136/63905303$ |
$0.92407$ |
$3.53936$ |
$[0, 0, 1, -14994, 171757]$ |
\(y^2+y=x^3-14994x+171757\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 1254.8.0.?, 8778.16.0.? |
$[(-35, 808)]$ |
92169.y1 |
92169a2 |
92169.y |
92169a |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 3^{9} \cdot 7^{7} \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.985508$ |
$117361115136/63905303$ |
$0.92407$ |
$4.11599$ |
$[0, 0, 1, -134946, -4637446]$ |
\(y^2+y=x^3-134946x-4637446\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 1254.8.0.?, 8778.16.0.? |
$[]$ |
144837.n1 |
144837x2 |
144837.n |
144837x |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 3^{9} \cdot 7 \cdot 11^{9} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1866240$ |
$2.211502$ |
$117361115136/63905303$ |
$0.92407$ |
$4.18765$ |
$[0, 0, 1, -333234, -17995453]$ |
\(y^2+y=x^3-333234x-17995453\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 798.8.0.?, 8778.16.0.? |
$[]$ |
144837.bd2 |
144837bf1 |
144837.bd |
144837bf |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 3^{3} \cdot 7 \cdot 11^{9} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$622080$ |
$1.662195$ |
$117361115136/63905303$ |
$0.92407$ |
$3.63296$ |
$[0, 0, 1, -37026, 666498]$ |
\(y^2+y=x^3-37026x+666498\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 798.8.0.?, 8778.16.0.? |
$[]$ |
210672.n1 |
210672cg2 |
210672.n |
210672cg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{9} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17556$ |
$16$ |
$0$ |
$2.122933743$ |
$1$ |
|
$2$ |
$1119744$ |
$1.705700$ |
$117361115136/63905303$ |
$0.92407$ |
$3.56450$ |
$[0, 0, 0, -44064, -865296]$ |
\(y^2=x^3-44064x-865296\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 8778.8.0.?, 17556.16.0.? |
$[(-39, 891)]$ |
210672.ev2 |
210672dk1 |
210672.ev |
210672dk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 2^{12} \cdot 3^{3} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17556$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.156395$ |
$117361115136/63905303$ |
$0.92407$ |
$3.02675$ |
$[0, 0, 0, -4896, 32048]$ |
\(y^2=x^3-4896x+32048\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 8778.8.0.?, 17556.16.0.? |
$[]$ |
250173.n1 |
250173n2 |
250173.n |
250173n |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 7 \cdot 11^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$5.501749804$ |
$1$ |
|
$2$ |
$5598720$ |
$2.484772$ |
$117361115136/63905303$ |
$0.92407$ |
$4.26734$ |
$[0, 0, 1, -994194, -92735395]$ |
\(y^2+y=x^3-994194x-92735395\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 462.8.0.?, 8778.16.0.? |
$[(-867, 10840)]$ |
250173.be2 |
250173be1 |
250173.be |
250173be |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11^{3} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8778$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1866240$ |
$1.935467$ |
$117361115136/63905303$ |
$0.92407$ |
$3.73703$ |
$[0, 0, 1, -110466, 3434644]$ |
\(y^2+y=x^3-110466x+3434644\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 462.8.0.?, 8778.16.0.? |
$[]$ |
329175.bj1 |
329175bj2 |
329175.bj |
329175bj |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{9} \cdot 5^{6} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$43890$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1679616$ |
$1.817272$ |
$117361115136/63905303$ |
$0.92407$ |
$3.54467$ |
$[0, 0, 1, -68850, 1690031]$ |
\(y^2+y=x^3-68850x+1690031\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 8778.8.0.?, 43890.16.0.? |
$[]$ |
329175.br2 |
329175br1 |
329175.br |
329175br |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( 3^{3} \cdot 5^{6} \cdot 7 \cdot 11^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$43890$ |
$16$ |
$0$ |
$0.598663726$ |
$1$ |
|
$4$ |
$559872$ |
$1.267965$ |
$117361115136/63905303$ |
$0.92407$ |
$3.02581$ |
$[0, 0, 1, -7650, -62594]$ |
\(y^2+y=x^3-7650x-62594\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 8778.8.0.?, 43890.16.0.? |
$[(-74, 313)]$ |