manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 30
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Lower bound Nmin = 55

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_0^1169(1) by the Atkin-Lehner involution w_1169.
Tags Shimura curves, Quotients of curves with many points

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Upper bound Nmax = 61

Submitted by Gerrit Oomens
Date 01-01-1900
Reference H. Niederreiter, C. P. Xing
A general method of constructing global function fields with many rational places
In: Algorithmic Number Theory (Portland 1998), Lecture Notes in Comp. Science 1423, Springer, Berlin, 1998, p. 555-566.
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