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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 88725.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.g1 | 88725bw1 | \([0, 1, 1, -111258, 16305644]\) | \(-2019487744/361179\) | \(-27239719497046875\) | \([]\) | \(1128960\) | \(1.8790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.g do not have complex multiplication.Modular form 88725.2.a.g
sage: E.q_eigenform(10)