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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 32340.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.bi1 | 32340bn1 | \([0, 1, 0, -30, 153]\) | \(-3937024/12375\) | \(-9702000\) | \([]\) | \(6912\) | \(0.027203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32340.bi do not have complex multiplication.Modular form 32340.2.a.bi
sage: E.q_eigenform(10)