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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 88200.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.bf1 | 88200bm1 | \([0, 0, 0, -91875, 5818750]\) | \(2450\) | \(35006580000000000\) | \([]\) | \(587520\) | \(1.8722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.bf do not have complex multiplication.Modular form 88200.2.a.bf
sage: E.q_eigenform(10)