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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Shimura curves of genus at most two
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by John Voight PDF
Math. Comp. 78 (2009), 1155-1172 Request permission

Abstract:

We enumerate all Shimura curves $X^{\mathfrak {D}}_0(\mathfrak {N})$ of genus at most two: there are exactly 858 such curves, up to equivalence.
References
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Additional Information
  • John Voight
  • Affiliation: Department of Mathematics and Statistics, 16 Colchester Avenue, University of Vermont, Burlington, Vermont 05401
  • MR Author ID: 727424
  • ORCID: 0000-0001-7494-8732
  • Email: jvoight@gmail.com
  • Received by editor(s): February 7, 2008
  • Received by editor(s) in revised form: March 23, 2008
  • Published electronically: August 14, 2008
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 78 (2009), 1155-1172
  • MSC (2000): Primary 11G18, 11R52, 14G35
  • DOI: https://doi.org/10.1090/S0025-5718-08-02163-7
  • MathSciNet review: 2476577