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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 485520g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.g1 | 485520g1 | \([0, -1, 0, -510181, 626338825]\) | \(-2376642789376/26036143875\) | \(-160883000134845408000\) | \([]\) | \(14929920\) | \(2.5593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485520g do not have complex multiplication.Modular form 485520.2.a.g
sage: E.q_eigenform(10)