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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 165620.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
165620.bf1 | 165620bg1 | \([0, 0, 0, -1183, 30758]\) | \(-3024/5\) | \(-302737460480\) | \([]\) | \(276480\) | \(0.89389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165620.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 165620.bf do not have complex multiplication.Modular form 165620.2.a.bf
sage: E.q_eigenform(10)