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 |
219328.a1 |
219328h1 |
219328.a |
219328h |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1.540961524$ |
$1$ |
|
$8$ |
$44928$ |
$0.063527$ |
$-256000000/3427$ |
$[0, 1, 0, -133, 555]$ |
\(y^2=x^3+x^2-133x+555\) |
6854.2.0.? |
$[(7, 4), (6, 3)]$ |
219328.b1 |
219328a2 |
219328.b |
219328a |
$2$ |
$3$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23^{3} \cdot 149 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$82248$ |
$16$ |
$0$ |
$0.938538849$ |
$1$ |
|
$2$ |
$577152$ |
$1.357111$ |
$-189500218710016000/1812883$ |
$[0, 1, 0, -120613, 16082619]$ |
\(y^2=x^3+x^2-120613x+16082619\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 6854.2.0.?, 20562.8.0.?, 82248.16.0.? |
$[(215, 368)]$ |
219328.b2 |
219328a1 |
219328.b |
219328a |
$2$ |
$3$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$82248$ |
$16$ |
$0$ |
$2.815616547$ |
$1$ |
|
$2$ |
$192384$ |
$0.807804$ |
$-304900096000/76082827$ |
$[0, 1, 0, -1413, 23995]$ |
\(y^2=x^3+x^2-1413x+23995\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 6854.2.0.?, 20562.8.0.?, 82248.16.0.? |
$[(15, 80)]$ |
219328.c1 |
219328b1 |
219328.c |
219328b |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{12} \cdot 23 \cdot 149 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$2.383334704$ |
$1$ |
|
$2$ |
$44544$ |
$0.052445$ |
$314432/3427$ |
$[0, 1, 0, 23, 183]$ |
\(y^2=x^3+x^2+23x+183\) |
6854.2.0.? |
$[(17, 76)]$ |
219328.d1 |
219328i1 |
219328.d |
219328i |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.095313293$ |
$1$ |
|
$2$ |
$67584$ |
$0.357208$ |
$-99588352/510623$ |
$[0, -1, 0, -97, 1193]$ |
\(y^2=x^3-x^2-97x+1193\) |
46.2.0.a.1 |
$[(16, 59)]$ |
219328.e1 |
219328j1 |
219328.e |
219328j |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{28} \cdot 23^{3} \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$622080$ |
$1.504892$ |
$-604851819993/1856392192$ |
$[0, 0, 0, -11276, 1157104]$ |
\(y^2=x^3-11276x+1157104\) |
6854.2.0.? |
$[]$ |
219328.f1 |
219328c1 |
219328.f |
219328c |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{28} \cdot 23^{3} \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$622080$ |
$1.504892$ |
$-604851819993/1856392192$ |
$[0, 0, 0, -11276, -1157104]$ |
\(y^2=x^3-11276x-1157104\) |
6854.2.0.? |
$[]$ |
219328.g1 |
219328k1 |
219328.g |
219328k |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{20} \cdot 23 \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$228864$ |
$0.964826$ |
$-828729821457/13708$ |
$[0, 0, 0, -12524, -539472]$ |
\(y^2=x^3-12524x-539472\) |
6854.2.0.? |
$[]$ |
219328.h1 |
219328d1 |
219328.h |
219328d |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{20} \cdot 23 \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228864$ |
$0.964826$ |
$-828729821457/13708$ |
$[0, 0, 0, -12524, 539472]$ |
\(y^2=x^3-12524x+539472\) |
6854.2.0.? |
$[]$ |
219328.i1 |
219328e1 |
219328.i |
219328e |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$5.693683281$ |
$1$ |
|
$0$ |
$67584$ |
$0.357208$ |
$-99588352/510623$ |
$[0, 1, 0, -97, -1193]$ |
\(y^2=x^3+x^2-97x-1193\) |
46.2.0.a.1 |
$[(226/3, 3059/3)]$ |
219328.j1 |
219328l2 |
219328.j |
219328l |
$2$ |
$3$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23^{3} \cdot 149 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$82248$ |
$16$ |
$0$ |
$40.73337449$ |
$1$ |
|
$0$ |
$577152$ |
$1.357111$ |
$-189500218710016000/1812883$ |
$[0, -1, 0, -120613, -16082619]$ |
\(y^2=x^3-x^2-120613x-16082619\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 6854.2.0.?, 20562.8.0.?, 82248.16.0.? |
$[(710708503698594925/36690729, 404619256444812436956816476/36690729)]$ |
219328.j2 |
219328l1 |
219328.j |
219328l |
$2$ |
$3$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$82248$ |
$16$ |
$0$ |
$13.57779149$ |
$1$ |
|
$0$ |
$192384$ |
$0.807804$ |
$-304900096000/76082827$ |
$[0, -1, 0, -1413, -23995]$ |
\(y^2=x^3-x^2-1413x-23995\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 6854.2.0.?, 20562.8.0.?, 82248.16.0.? |
$[(1505077/57, 1838138716/57)]$ |
219328.k1 |
219328f1 |
219328.k |
219328f |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{10} \cdot 23 \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44928$ |
$0.063527$ |
$-256000000/3427$ |
$[0, -1, 0, -133, -555]$ |
\(y^2=x^3-x^2-133x-555\) |
6854.2.0.? |
$[]$ |
219328.l1 |
219328g1 |
219328.l |
219328g |
$1$ |
$1$ |
\( 2^{6} \cdot 23 \cdot 149 \) |
\( - 2^{12} \cdot 23 \cdot 149 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6854$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44544$ |
$0.052445$ |
$314432/3427$ |
$[0, -1, 0, 23, -183]$ |
\(y^2=x^3-x^2+23x-183\) |
6854.2.0.? |
$[]$ |