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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 88725.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.i1 | 88725g1 | \([1, 1, 1, -3755268, -2802468414]\) | \(287183643885385/8680203\) | \(177017706290409075\) | \([]\) | \(2471040\) | \(2.4078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.i do not have complex multiplication.Modular form 88725.2.a.i
sage: E.q_eigenform(10)