An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28

 
PIIS086956520003096-8-1
DOI10.31857/S086956520003096-8
Publication type Article
Status Published
Authors
Affiliation: Scientific Research Institute for System Analysis, RAS
Address: Russian Federation,
Affiliation: Scientific Research Institute for System Analysis, RAS
Address: Russian Federation
Journal nameDoklady Akademii nauk
EditionVolume 482 Issue 4
Pages385-388
Abstract

We found an infinite family of nonisomorphic hyperelliptic curves of genus two over the field of rational numbers whose Jacobian varieties contain rational points of order 28. Previously, only 10 such curves were known.

Keywords
Received10.11.2018
Publication date10.11.2018
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