manYPoints – Table of Curves with Many Points
Entry details for q =
2
2
= 4
, g =
23
Table
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Lower bound
N
min
= 46
Earlier entry
Submitted by
Everett Howe
Date
04-14-2026
Reference
Pietro Mercuri, Oana Padurariu, Frederick Saia, and Claudio Stirpe
Point counts, automorphisms, and gonalities of Shimura curves
arXiv:2507.15992 [math.NT]
Comments
Quotient of the Shimura curve X_0^39(31) by the Atkin-Lehner involution w_1209.
Tags
Shimura curves, Quotients of curves with many points
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Upper bound
N
max
= 50
Later entry
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Roland Auer
Curves over finite fields with many rational points obtained by ray class fields extensions
pp. 127–134 in: Algorithmic Number Theory (Leiden, 2000), W. Bosma (ed.), Lecture Notes in Computer Science 1838, Springer-Verlag, Berlin, 2000
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None
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