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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 485100.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.bf1 | 485100bf1 | \([0, 0, 0, 19268025, 21519562750]\) | \(47061251888/39135393\) | \(-657872206878428388000000\) | \([]\) | \(51609600\) | \(3.2580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100.bf do not have complex multiplication.Modular form 485100.2.a.bf
sage: E.q_eigenform(10)