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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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.

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V. Platonov

Scientific Research Institute for System Analysis

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Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218

G. Fedorov

Scientific Research Institute for System Analysis

Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218

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