Quadratic Chabauty for Atkin-Lehner quotients of modular curves and Shimura curves

Organizer: Timo Keller

Supported by a WiN-UBT 2021 Conference Grant

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Date and Place

August 21 – 27, 2022
at Universität Bayreuth, Bayreuth, Germany


Aim of the conference

We work on extending our computation Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6 of the rational points on the modular curves X0+(p) of genus 4, 5, and 6 and the one on hyperelliptic Atkin-Lehner quotients from Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings to cover more general To this end, we extend the quadratic Chabauty algorithm to for examples of Atkin-Lehner quotients of X0(N) with N square-free.

Last modified: August 26, 2022
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