Conductor and discriminant of Picard curves

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Publication:5141864

DOI10.1112/JLMS.12323zbMATH Open1457.14061arXiv1902.09624OpenAlexW2916161614MaRDI QIDQ5141864

Author name not available (Why is that?)

Publication date: 22 December 2020

Published in: (Search for Journal in Brave)

Abstract: We describe normal forms and minimal models of Picard curves, discussing various arithmetic aspects of these. We determine all so-called special Picard curves over mathbbQ with good reduction outside 2 and 3, and use this to determine the smallest possible conductor a special Picard curve may have. We also collect a database of Picard curves over mathbbQ of small conductor.


Full work available at URL: https://arxiv.org/abs/1902.09624



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