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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 215985bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215985.bf1 | 215985bf1 | \([0, -1, 1, -4275, -157642]\) | \(-4878401536/3346875\) | \(-5929193221875\) | \([]\) | \(336000\) | \(1.1513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215985bf1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215985bf do not have complex multiplication.Modular form 215985.2.a.bf
sage: E.q_eigenform(10)