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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 320892.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.bf1 | 320892bf1 | \([0, 1, 0, -16490646, 33012612477]\) | \(-1195060552094464/443271489687\) | \(-183957133464472185438192\) | \([]\) | \(48470400\) | \(3.1742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320892.bf do not have complex multiplication.Modular form 320892.2.a.bf
sage: E.q_eigenform(10)