manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
29
Table
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Lower bound
N
min
= 208
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_0^623(3) by the group generated by the Atkin-Lehner involutions w_3 and w_623.
Tags
Shimura curves, Quotients of curves with many points
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Upper bound
N
max
= 255
Later entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound
Tags
Ihara bound
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