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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 89232bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89232.m1 | 89232bi1 | \([0, -1, 0, -316, -2276]\) | \(-80915536/9801\) | \(-424030464\) | \([]\) | \(32256\) | \(0.39055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89232bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89232bi do not have complex multiplication.Modular form 89232.2.a.bi
sage: E.q_eigenform(10)