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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 20800cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20800.bw1 | 20800cv1 | \([0, 0, 0, 2500, 50000]\) | \(10800/13\) | \(-2080000000000\) | \([]\) | \(23040\) | \(1.0498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20800cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20800cv do not have complex multiplication.Modular form 20800.2.a.cv
sage: E.q_eigenform(10)