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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

Shimura curves of genus at most two

Author(s): John Voight.
Journal: Math. Comp.
MSC (2000): Primary 11G18, 11R52, 14G35
Posted: August 14, 2008
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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.


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Additional Information:

John Voight
Affiliation: Department of Mathematics and Statistics, 16 Colchester Avenue, University of Vermont, Burlington, Vermont 05401
Email: jvoight@gmail.com

DOI: 10.1090/S0025-5718-08-02163-7
PII: S 0025-5718(08)02163-7
Received by editor(s): February 7, 2008
Received by editor(s) in revised form: March 23, 2008
Posted: August 14, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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