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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 380926.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.bf1 | 380926bf1 | \([1, -1, 1, -2736, -54141]\) | \(1617907473/8464\) | \(11845274896\) | \([]\) | \(898560\) | \(0.77813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 380926.bf do not have complex multiplication.Modular form 380926.2.a.bf
sage: E.q_eigenform(10)