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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 160080.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160080.f1 | 160080cs1 | \([0, -1, 0, 30120524, 299591292235]\) | \(188882309283390779282537216/2532852768249693014679375\) | \(-40525644291995088234870000\) | \([]\) | \(40427520\) | \(3.5944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160080.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160080.f do not have complex multiplication.Modular form 160080.2.a.f
sage: E.q_eigenform(10)