Counting odd genus $2$ curves with a marked rational $3$-torsion point

Elvira Lupoian; Lazar Radicevic

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arXiv · 2607.09483

Counting odd genus $2$ curves with a marked rational $3$-torsion point

Elvira Lupoian·Lazar Radicevic

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Abstract

In this paper we count, ordered by naive height, the genus $2$ curves over the rationals which admit a monic Weierstrass model of odd degree and whose Jacobian has a marked rational $3$-torsion point.

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Elvira Lupoian, Lazar Radicevic. 2026-07-10. Counting odd genus $2$ curves with a marked rational $3$-torsion point. https://arxiv.org/abs/2607.09483

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