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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 166175u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166175.u1 | 166175u1 | \([0, 1, 1, -132458, 18578619]\) | \(-5451776/23\) | \(-1084304857421875\) | \([]\) | \(1339520\) | \(1.7396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166175u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166175u do not have complex multiplication.Modular form 166175.2.a.u
sage: E.q_eigenform(10)