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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 54450.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.g1 | 54450cp1 | \([1, -1, 0, 4872708, 6290465616]\) | \(43307231/82944\) | \(-24505263764231184000000\) | \([]\) | \(5913600\) | \(2.9807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54450.g do not have complex multiplication.Modular form 54450.2.a.g
sage: E.q_eigenform(10)