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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 25200.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.cv1 | 25200cp1 | \([0, 0, 0, 645, 18090]\) | \(10733445/57344\) | \(-158544691200\) | \([]\) | \(29952\) | \(0.83122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200.cv do not have complex multiplication.Modular form 25200.2.a.cv
sage: E.q_eigenform(10)