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In this note, an analogous statement to the Nagell-Lutz theorem does not holdfor the Jacobian of a certain curve of genus 2 over $\mathbb{C}(t)$. As aby-product, we give a (2, 3, 6) quasi-torus decomposition for the dual curve ofa smooth cubic.

A remark on a Nagell-Lutz type statement for the Jacobian of a curve of genus 2 and a (2, 3, 6) quasi-torus decomposition of a sextic with 9 cusps