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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 169338u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.n1 | 169338u1 | \([1, 0, 1, -772672, 823645838]\) | \(-10569350840236993/54609180327936\) | \(-263588083089504436224\) | \([]\) | \(17740800\) | \(2.6027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338u do not have complex multiplication.Modular form 169338.2.a.u
sage: E.q_eigenform(10)