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- Publisher
- Wiley
- Copyright
- © 2020 London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms.12363
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we study the finiteness problem of torsion points on an elliptic curve whose coordinates satisfy some multiplicative dependence relations. In particular, we prove that on an elliptic curve defined over a number field there are only finitely many torsion points whose coordinates are multiplicatively dependent. Moreover, we produce an effective result when the elliptic curve is defined over the rational numbers or has complex multiplication.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Oct 1, 2020
Keywords: ; ; ;