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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 5550.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.bf1 | 5550bh1 | \([1, 0, 0, 5062, -71508]\) | \(918046641959/674325000\) | \(-10536328125000\) | \([]\) | \(17280\) | \(1.1871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5550.bf do not have complex multiplication.Modular form 5550.2.a.bf
sage: E.q_eigenform(10)