Properties

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

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Show commands: SageMath
E = EllipticCurve("ec1")
 
E.isogeny_class()
 

Elliptic curves in class 286110ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.ec1 286110ec1 \([1, -1, 1, -295268, 109957207]\) \(-4368317413923/5475734000\) \(-3568614495767442000\) \([]\) \(5529600\) \(2.2533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110ec1 has rank \(0\).

Complex multiplication

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

Modular form 286110.2.a.ec

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