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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 480960.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
480960.bf1 | 480960bf1 | \([0, 0, 0, 207252, 26901072]\) | \(190804533093/171008000\) | \(-882363718434816000\) | \([]\) | \(5750784\) | \(2.1308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 480960.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 480960.bf do not have complex multiplication.Modular form 480960.2.a.bf
sage: E.q_eigenform(10)