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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 3600.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3600.bf1 | 3600m1 | \([0, 0, 0, 45, -270]\) | \(270\) | \(-37324800\) | \([]\) | \(672\) | \(0.13579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3600.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3600.bf do not have complex multiplication.Modular form 3600.2.a.bf
sage: E.q_eigenform(10)