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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 40656.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.bd1 | 40656q1 | \([0, -1, 0, -51465, 3116709]\) | \(274717696/83349\) | \(4573849183352064\) | \([]\) | \(253440\) | \(1.7100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40656.bd do not have complex multiplication.Modular form 40656.2.a.bd
sage: E.q_eigenform(10)