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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 277725.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277725.bd1 | 277725bd1 | \([0, -1, 1, -1533, -25657]\) | \(-48234496/7875\) | \(-65091796875\) | \([]\) | \(221184\) | \(0.80246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277725.bd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 277725.bd do not have complex multiplication.Modular form 277725.2.a.bd
sage: E.q_eigenform(10)