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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 160080cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160080.p1 | 160080cu1 | \([0, -1, 0, -1776, 41760]\) | \(-302668452578/182341125\) | \(-373434624000\) | \([]\) | \(215040\) | \(0.92270\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160080cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160080cu do not have complex multiplication.Modular form 160080.2.a.cu
sage: E.q_eigenform(10)