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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 160113f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160113.i1 | 160113f1 | \([0, 1, 1, -6554, 222509]\) | \(-1404928/171\) | \(-3790105753059\) | \([]\) | \(585728\) | \(1.1486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160113f do not have complex multiplication.Modular form 160113.2.a.f
sage: E.q_eigenform(10)