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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 237160.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237160.bu1 | 237160bu1 | \([0, 1, 0, -1976, 226400]\) | \(-196/5\) | \(-21778011960320\) | \([]\) | \(403200\) | \(1.2399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237160.bu1 has rank \(2\).
Complex multiplication
The elliptic curves in class 237160.bu do not have complex multiplication.Modular form 237160.2.a.bu
sage: E.q_eigenform(10)