most citedComputing points on bielliptic modular curves over fixed quadratic fields

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math.NT2023

Quadratic points on

Philippe Michaud-Jacobs, Filip Najman

We determine all the quadratic points on the genus modular curve , thus completing the answer to a recent question of Banwait, the second-named author, and Padurariu…

math.NT2023

Computing quadratic points on modular curves

Nikola Adžaga, Timo Keller, Philippe Michaud-Jacobs +3

In this paper we improve on existing methods to compute quadratic points on modular curves and apply them to successfully find all the quadratic points on all modular curves $X_0(N…

math.NT2023★ 1 cited

Computing points on bielliptic modular curves over fixed quadratic fields

Philippe Michaud-Jacobs

We present a Mordell-Weil sieve that can be used to compute points on certain bielliptic modular curves over fixed quadratic fields. We study $X_0(N)(\mathbb{Q}(\sqrt{d}))…