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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 38025.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.bd1 | 38025cm1 | \([1, -1, 1, -370805, 86989322]\) | \(117161545345/19683\) | \(947252063671875\) | \([]\) | \(362880\) | \(1.8811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38025.bd do not have complex multiplication.Modular form 38025.2.a.bd
sage: E.q_eigenform(10)