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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)