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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 236992.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.bu1 | 236992bu1 | \([0, 1, 0, -178449, 32360615]\) | \(-340736/49\) | \(-90374635941567488\) | \([]\) | \(1695744\) | \(1.9842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.bu do not have complex multiplication.Modular form 236992.2.a.bu
sage: E.q_eigenform(10)