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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 54080.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.bc1 | 54080dc1 | \([0, -1, 0, -20505, -255503]\) | \(1141504/625\) | \(522067661440000\) | \([]\) | \(239616\) | \(1.5148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54080.bc do not have complex multiplication.Modular form 54080.2.a.bc
sage: E.q_eigenform(10)