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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 150075bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.u1 | 150075bf1 | \([0, 0, 1, 810, -20689]\) | \(119439360/444889\) | \(-218918754675\) | \([]\) | \(104832\) | \(0.85884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075bf do not have complex multiplication.Modular form 150075.2.a.bf
sage: E.q_eigenform(10)