Bounding j-invariant of integral points on X_\ns⁺(p)

2012/03/06 by Aurélien Bajolet, Min Sha, Bajolet, Aurélien +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1203.1187

openalex publication_date 2012/03/06 · arxiv created 2012/08/13 · arxiv updated 2012/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For prime p≥ 7, by using Baker's method we obtain two explicit bounds in terms of p for the j-invariant of an integral point on X_\ns⁺(p) which is the modular curve of level p corresponding to the normalizer of a non-split Cartan subgroup of \GL₂(\Z/p\Z).

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