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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 2550.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2550.bd1 | 2550bc1 | \([1, 0, 0, 612, -10608]\) | \(2595575/6528\) | \(-63750000000\) | \([]\) | \(2520\) | \(0.75699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2550.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2550.bd do not have complex multiplication.Modular form 2550.2.a.bd
sage: E.q_eigenform(10)