Email this article An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28
- Authors: Platonov V.P.1, Fedorov G.V.1
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Affiliations:
- Scientific Research Institute for System Analysis
- Issue: Vol 98, No 2 (2018)
- Pages: 468-471
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225559
- DOI: https://doi.org/10.1134/S1064562418060182
- ID: 225559
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Abstract
We have 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.
About the authors
V. P. Platonov
Scientific Research Institute for System Analysis
Author for correspondence.
Email: platonov@niisi.ras.ru
Russian Federation, Moscow, 117218
G. V. Fedorov
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
Russian Federation, Moscow, 117218
