A graphical method to calculate Selmer groups of several families of non-CM elliptic curves

2009/12/27 by Fei Li, Li, Fei, Derong Qiu +1
Computer Science · Engineering · Mathematics · #05C90(Secondary). #11G05 (primary) #14H25 #14H52 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0912.5072

openalex publication_date 2009/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we extend the ideas of Feng [F1], Feng-Xiong [FX] and Faulkner-James [FJ] to calculate the Selmer groups of elliptic curves y² = x (x + ε p D) (x + εq D).

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