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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 316030bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
316030.bd1 | 316030bd1 | \([1, 0, 1, 841, -11828]\) | \(13651919/20570\) | \(-99287461130\) | \([]\) | \(299520\) | \(0.79548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316030bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 316030bd do not have complex multiplication.Modular form 316030.2.a.bd
sage: E.q_eigenform(10)