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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 91630bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91630.bk1 | 91630bm1 | \([1, 1, 1, 244, 1959]\) | \(13651919/20570\) | \(-2420039930\) | \([]\) | \(36864\) | \(0.48596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91630bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91630bm do not have complex multiplication.Modular form 91630.2.a.bm
sage: E.q_eigenform(10)