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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 160550cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160550.eg1 | 160550cc1 | \([1, -1, 1, -201480, 37219147]\) | \(-11993263569/972800\) | \(-73367496800000000\) | \([]\) | \(4942080\) | \(1.9824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160550cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160550cc do not have complex multiplication.Modular form 160550.2.a.cc
sage: E.q_eigenform(10)