On the elliptic curve y² = x (x² + p) over some certain imaginary quadratic fields

2012/12/21 by Xiumei Li, Li, Xiumei
Mathematics · #14H52 (Primary) 11G05 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1212.5350

openalex publication_date 2012/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will talk about the titled elliptic curve defined over imaginary quadratic fields such as ℚ(√(-q)), where q is congruent to 3 modulo 8 and (p,q)=1.

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