Computing quadratic points on modular curves 𝑋₀(𝑁)

Torsion points on elliptic curves over number fields of small degree

(2023) Maarten Derickx et al.   Algebra & Number Theory

Quadratic Chabauty for modular curves: algorithms and examples

(2023) Jennifer S. Balakrishnan et al.   COMPOSITIO MATHEMATICA

Cyclic isogenies of elliptic curves over fixed quadratic fields

(2023) Barinder Banwait et al.   MATHEMATICS OF COMPUTATION

The least degree of a CM point on a modular curve

(2022) Pete L. Clark et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings

(2022) Nikola Adžaga et al.   Research in Number Theory

Quadratic points on bielliptic modular curves

(2022) Filip Najman et al.   MATHEMATICS OF COMPUTATION

Quadratic points on non-split Cartan modular curves

(2021) Philippe Michaud-Rodgers   International Journal of Number Theory

Sporadic cubic torsion

(2021) Maarten Derickx et al.   Algebra & Number Theory

Quadratic points on modular curves with infinite Mordell–Weil group

(2020) Josha Box   MATHEMATICS OF COMPUTATION

Explicit Coleman integration for curves

(2020) Jennifer S. Balakrishnan et al.   MATHEMATICS OF COMPUTATION

Hyperelliptic parametrizations of $$\pmb {\mathbb {Q}}$$-curves

(2020) Francesc Bars et al.   RAMANUJAN JOURNAL

Fermat’s last theorem over some small real quadratic fields

(2015) Nuno Freitas et al.   Algebra & Number Theory

Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields

(2015) Peter Bruin et al.   LMS Journal of Computation and Mathematics

The Mordell–Weil sieve: proving non-existence of rational points on curves

(2010) Nils Bruin et al.   LMS Journal of Computation and Mathematics

Chabauty for symmetric powers of curves

(2009) Samir Siksek   Algebra & Number Theory