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math.NT2026
Aspects of quadratic Chabauty via modular forms
Marius Leonhardt, Isabel Rendell
We develop algorithms to construct a basis of de Rham cohomology for modular curves and a matrix representing the Hodge filtration required in the quadratic Chabauty method. We do…
math.NT2025
Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations
Isabel Rendell
For Atkin-Lehner quotients , of prime level and of genus at least 2, we provide an algorithm for computing one of the main objects in the quadratic Chabauty algorithm in…