manYPoints – Table of Curves with Many Points
Entry details for q =
7
2
= 49
, g =
47
Table
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Lower bound
N
min
= 472
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_0^15(146) by the Atkin-Lehner involution w_1095.
Tags
Shimura curves, Quotients of curves with many points
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Upper bound
N
max
= 598
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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