Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves

ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.

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Publication Details

Journal
Mathematische Nachrichten
Published
2026-10-30
DOI
https://doi.org/10.1002/mana.70292
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves

John Voight, Oana Padurariu, Sun Woo Park
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Mathematische Nachrichten
Advanced Algebra and Geometry
article

Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves

John Voight, Oana Padurariu, Sun Woo Park
article en

Abstract

ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.

Mathematische Nachrichten
The University of Sydney (AU), Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 37%
Advanced Algebra and Geometry
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