Properties

Label 88725.i
Number of curves $1$
Conductor $88725$
CM no
Rank $1$

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Show commands: 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)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + 3 q^{8} + q^{9} - 3 q^{11} + q^{12} + q^{14} - q^{16} + 4 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display