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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 397488.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397488.g1 | 397488g1 | \([0, -1, 0, -96062360, 253871853936]\) | \(249395415529/73513818\) | \(28897747051950719913664512\) | \([]\) | \(150958080\) | \(3.5913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397488.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397488.g do not have complex multiplication.Modular form 397488.2.a.g
sage: E.q_eigenform(10)