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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 39984.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.bf1 | 39984ca1 | \([0, -1, 0, -79445, -8604567]\) | \(-1841198792704/3011499\) | \(-90700760537856\) | \([]\) | \(152064\) | \(1.5749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.bf do not have complex multiplication.Modular form 39984.2.a.bf
sage: E.q_eigenform(10)