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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 162624u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.ge1 | 162624u1 | \([0, 1, 0, -1041, 13671]\) | \(-91625216/9261\) | \(-12622224384\) | \([]\) | \(110592\) | \(0.67822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624u do not have complex multiplication.Modular form 162624.2.a.u
sage: E.q_eigenform(10)