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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 145794.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.bf1 | 145794n1 | \([1, 1, 1, -1678886, 1183105571]\) | \(-48551226272641/28067094528\) | \(-302541255576709619712\) | \([]\) | \(11022336\) | \(2.6327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.bf do not have complex multiplication.Modular form 145794.2.a.bf
sage: E.q_eigenform(10)