Properties

Label 286110.ea
Number of curves $1$
Conductor $286110$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 286110.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.ea1 286110ea1 \([1, -1, 1, 45725092, -326013861473]\) \(22253722294800933/109514680000000\) \(-52030399348289304360000000\) \([]\) \(87091200\) \(3.6168\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110.ea1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286110.ea do not have complex multiplication.

Modular form 286110.2.a.ea

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - q^{7} + q^{8} - q^{10} - q^{11} - 4 q^{13} - q^{14} + q^{16} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display