On the density of a set of primes associated to an elliptic curve

被引：0
作者：
Arala, Nuno [1 ]
机构：
[1] Univ Warwick, Warwick, England
来源：
JOURNAL OF NUMBER THEORY | 2023年 / 243卷
基金：
英国工程与自然科学研究理事会;
关键词：
Elliptic curves; Rational points; Galois representations;
D O I：
10.1016/j.jnt.2022.06.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a given elliptic curve E defined over the rationals, we study the density of primes p satisfying gcd(#E(Fp), p -1) = 1 and give a conjectural value for this density with strong heuristic evidence for most elliptic curves, in an appropriate sense.(c) 2022 Published by Elsevier Inc.
引用
收藏
页码：241 / 255
页数：15
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