Jacobians of some curves of genus 2: torsion and simplicity
The author constructs equation of curves of genus 2, defined over \(\mathbb{Q}\), whose Jacobian has a \(\mathbb{Q}\)-rational point of order \(n\) for \(n=21\), 22, 23, 25, 26, 27 and 29; the Jacobian of all these curves are shown to be absolutely simple.
scientific article; zbMATH DE number 858028
scientific article