Rank Lifting From Rank-Zero Elliptic Curves Via Quadratic Twists

Pure and Applied Mathematics Journal 2026 Open access

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Authors: Kouakou Kouassi Vincent, Soro Kolo Fousséni
DOI: 10.11648/j.pamj.20261501.11
Cited by: 0
References: 9

Abstract

We prove that rank-zero elliptic curves over generate positive-rank elliptic curves through the unit circle, via quadratic twisted models . This construction demonstrates rank evolution from zero to infinite rational points, complementing high-rank families. All rank-zero status and positive-rank emergence rigorously verified computationally. SMC(2020): 11G05, 14H52, 11Y50.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Algebra and Geometry

Publication details

Journal / source
Pure and Applied Mathematics Journal
Volume
15
Issue
1
Pages
1–5
Publication date
16 January 2026
Language
EN