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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 455175u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.u1 | 455175u1 | \([0, 0, 1, -21675, 984406]\) | \(1183744/245\) | \(233082315703125\) | \([]\) | \(2239488\) | \(1.4720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 455175u do not have complex multiplication.Modular form 455175.2.a.u
sage: E.q_eigenform(10)