Elliptic curves over totally real quartic fields not containing\n \√(5) are modular

2021/03/25 by Josha Box, Box, Josha
Mathematics · Social Sciences · #11F80 (primary) #11G05 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2103.13975

openalex publication_date 2021/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every elliptic curve defined over a totally real number field\nof degree 4 not containing \√(5) is modular. To this end, we study the\nquartic points on four modular curves.\n

Citations

• Modular Elliptic Curves and Fermat's Last Theorem

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