| 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 |
| 6897.a1 |
6897f3 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( 3^{4} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.953939$ |
$115714886617/1539$ |
$0.98111$ |
$4.50984$ |
$[1, 0, 0, -12284, -525051]$ |
\(y^2+xy=x^3-12284x-525051\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 44.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 6897.a2 |
6897f2 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( 3^{2} \cdot 11^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4320$ |
$0.607366$ |
$30664297/3249$ |
$0.90727$ |
$3.57807$ |
$[1, 0, 0, -789, -7776]$ |
\(y^2+xy=x^3-789x-7776\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
| 6897.a3 |
6897f1 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( 3 \cdot 11^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2160$ |
$0.260792$ |
$389017/57$ |
$0.96267$ |
$3.08397$ |
$[1, 0, 0, -184, 815]$ |
\(y^2+xy=x^3-184x+815\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 88.12.0.?, 114.6.0.?, $\ldots$ |
$[]$ |
| 6897.a4 |
6897f4 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3 \cdot 11^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.953939$ |
$67419143/390963$ |
$0.97474$ |
$3.91605$ |
$[1, 0, 0, 1026, -37905]$ |
\(y^2+xy=x^3+1026x-37905\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 6897.b1 |
6897d2 |
6897.b |
6897d |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{3} \cdot 11^{7} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$0.645965302$ |
$1$ |
|
$2$ |
$64800$ |
$2.159119$ |
$-3004935183806464000/2037123$ |
$1.03626$ |
$6.44136$ |
$[0, 1, 1, -3637663, 2669221561]$ |
\(y^2+y=x^3+x^2-3637663x+2669221561\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 114.8.0.?, 1254.16.0.? |
$[(1085, 907)]$ |
| 6897.b2 |
6897d1 |
6897.b |
6897d |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{9} \cdot 11^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$0.215321767$ |
$1$ |
|
$6$ |
$21600$ |
$1.609814$ |
$-5304438784000/497763387$ |
$0.96973$ |
$4.95961$ |
$[0, 1, 1, -43963, 3810208]$ |
\(y^2+y=x^3+x^2-43963x+3810208\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 114.8.0.?, 1254.16.0.? |
$[(-4, 1996)]$ |
| 6897.c1 |
6897c1 |
6897.c |
6897c |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{5} \cdot 11^{3} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$6270$ |
$60$ |
$3$ |
$0.351142154$ |
$1$ |
|
$4$ |
$10800$ |
$1.086948$ |
$-39693696892928/601692057$ |
$1.13924$ |
$4.35937$ |
$[0, 1, 1, -7817, -272101]$ |
\(y^2+y=x^3+x^2-7817x-272101\) |
5.15.0.a.1, 55.30.0.a.1, 570.30.1.?, 1254.2.0.?, 6270.60.3.? |
$[(337, 5956)]$ |
| 6897.d1 |
6897b1 |
6897.d |
6897b |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{5} \cdot 11^{9} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$6270$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$118800$ |
$2.285896$ |
$-39693696892928/601692057$ |
$1.13924$ |
$5.98711$ |
$[0, 1, 1, -945897, 358382558]$ |
\(y^2+y=x^3+x^2-945897x+358382558\) |
5.15.0.a.1, 55.30.0.a.1, 570.30.1.?, 1254.2.0.?, 6270.60.3.? |
$[]$ |
| 6897.e1 |
6897e1 |
6897.e |
6897e |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3 \cdot 11^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1254$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.423863$ |
$-262144/627$ |
$0.82187$ |
$3.22437$ |
$[0, 1, 1, -161, 1733]$ |
\(y^2+y=x^3+x^2-161x+1733\) |
1254.2.0.? |
$[]$ |
| 6897.f1 |
6897a1 |
6897.f |
6897a |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{2} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$5.544633753$ |
$1$ |
|
$0$ |
$5720$ |
$0.362399$ |
$-1404928/171$ |
$0.86512$ |
$3.25085$ |
$[0, -1, 1, -282, -1915]$ |
\(y^2+y=x^3-x^2-282x-1915\) |
38.2.0.a.1 |
$[(405/2, 7985/2)]$ |
| 6897.g1 |
6897g2 |
6897.g |
6897g |
$2$ |
$5$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{2} \cdot 11^{6} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2090$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$81000$ |
$1.850355$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$5.78837$ |
$[0, 1, 1, -531230, 148852787]$ |
\(y^2+y=x^3+x^2-531230x+148852787\) |
5.12.0.a.2, 38.2.0.a.1, 55.24.0-5.a.2.1, 190.24.1.?, 2090.48.1.? |
$[]$ |
| 6897.g2 |
6897g1 |
6897.g |
6897g |
$2$ |
$5$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3^{10} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2090$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16200$ |
$1.045635$ |
$841232384/1121931$ |
$1.00490$ |
$3.98283$ |
$[0, 1, 1, 2380, 51827]$ |
\(y^2+y=x^3+x^2+2380x+51827\) |
5.12.0.a.1, 38.2.0.a.1, 55.24.0-5.a.1.1, 190.24.1.?, 2090.48.1.? |
$[]$ |
