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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 169065.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.bf1 | 169065u1 | \([1, -1, 0, -1807749, 2653201930]\) | \(-10730378053390609/43719326015625\) | \(-2661930252722090390625\) | \([]\) | \(9160704\) | \(2.7964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169065.bf do not have complex multiplication.Modular form 169065.2.a.bf
sage: E.q_eigenform(10)