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


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Resumo

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.

Sobre autores

V. Platonov

Scientific Research Institute for System Analysis

Autor responsável pela correspondência
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218

G. Fedorov

Scientific Research Institute for System Analysis

Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218

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