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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 372810.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.g1 | 372810g1 | \([1, 1, 0, -72097558, -235659153602]\) | \(349498321520986457/2418750\) | \(286834426277118750\) | \([]\) | \(27417600\) | \(2.9491\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.g do not have complex multiplication.Modular form 372810.2.a.g
sage: E.q_eigenform(10)