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 |
111090.c1 |
111090f1 |
111090.c |
111090f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$0.384847814$ |
$1$ |
|
$4$ |
$2661120$ |
$2.318604$ |
$-33602966923620213529/6324810240$ |
$1.02511$ |
$4.94944$ |
$[1, 1, 0, -4397323, 3547370557]$ |
\(y^2+xy=x^3+x^2-4397323x+3547370557\) |
840.2.0.? |
$[(1209, -685)]$ |
111090.l1 |
111090k1 |
111090.l |
111090k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$403.0003303$ |
$1$ |
|
$0$ |
$61205760$ |
$3.886353$ |
$-33602966923620213529/6324810240$ |
$1.02511$ |
$6.56873$ |
$[1, 1, 0, -2326184142, -43184119407564]$ |
\(y^2+xy=x^3+x^2-2326184142x-43184119407564\) |
840.2.0.? |
$[(6996409804533344795784282062906976115685293541090118077792677481521744898824956341948420389027529243362355394144437308365756742128503143382509094070546902972840790401877668975/11202587473018481018969400293319314341205189053599341983205655474139925551542131063609, 854203150932830263075905593409543125484607764898592251883306775348081740339765606281291117062203946576785576151884920022128714274686908936317582762572740194005992339476217699135894589116129158627297170191381920684339163227338739732164320819266006641627307678999/11202587473018481018969400293319314341205189053599341983205655474139925551542131063609)]$ |
333270.cw1 |
333270cw1 |
333270.cw |
333270cw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$489646080$ |
$4.435661$ |
$-33602966923620213529/6324810240$ |
$1.02511$ |
$6.51959$ |
$[1, -1, 1, -20935657283, 1165950288346947]$ |
\(y^2+xy+y=x^3-x^2-20935657283x+1165950288346947\) |
840.2.0.? |
$[]$ |
333270.fb1 |
333270fb1 |
333270.fb |
333270fb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21288960$ |
$2.867912$ |
$-33602966923620213529/6324810240$ |
$1.02511$ |
$5.04020$ |
$[1, -1, 1, -39575912, -95818580949]$ |
\(y^2+xy+y=x^3-x^2-39575912x-95818580949\) |
840.2.0.? |
$[]$ |