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PUBLICATIONS

Arithmetic Progressions on Edwards Curves

Published

Author(s)

Dustin Moody

Abstract

We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has found arithmetic progressions on Weierstrass curves, quartic curves, and genus 2 curves. We find an infinite number of Edwards curves with an arithmetic progression of length 9.
Citation
Journal of Integer Sequences
Volume
14
Pub Type
Journals

Download Paper

Local Download

Keywords

elliptic curves, arithmetic progressions, Edwards curves
Cybersecurity and privacy and Mathematics and statistics

Citation

Moody, D. (2011), Arithmetic Progressions on Edwards Curves, Journal of Integer Sequences, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=907596 (Accessed October 20, 2025)

Issues

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Created February 8, 2011, Updated February 19, 2017
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