Torsion of \Q-curves over quadratic fields

2018/03/09 by Samuel Le Fourn, Fourn, Samuel Le, Filip Najman +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1803.03460

openalex publication_date 2018/03/09 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

Abstract

We find all the possible torsion groups of \Q-curves over quadratic fields and determine which groups appear finitely and which appear infinitely often.

Citations

• Elliptic curves over real quadratic fields are modular

Cited by

• Torsion of \mathbb Q-curves over number fields of small odd prime degree

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