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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 92400.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.bu1 | 92400eg1 | \([0, -1, 0, 153867, 761314137]\) | \(100715742101504/62663434246875\) | \(-250653736987500000000\) | \([]\) | \(2903040\) | \(2.5933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.bu do not have complex multiplication.Modular form 92400.2.a.bu
sage: E.q_eigenform(10)