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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 29760bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29760.cw1 | 29760bi1 | \([0, 1, 0, -1475265, 692783775]\) | \(-1354547383894636849/8173828125000\) | \(-2142720000000000000\) | \([]\) | \(898560\) | \(2.3569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29760bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29760bi do not have complex multiplication.Modular form 29760.2.a.bi
sage: E.q_eigenform(10)