manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
32
Table
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Lower bound
N
min
= 214
Earlier entry
Submitted by
Everett Howe
Date
08-12-2025
Reference
Valerio Dose, Guido Lido, Pietro Mercuri, Claudio Stirpe
Maximal curves over finite fields and a modular isogeny
arXiv:2504.18894 [math.NT]
Comments
Tags
Quotients of curves with many points
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Upper bound
N
max
= 275
Earlier 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. Here is a real Weil polynomial that we don't know how to eliminate: (x + 5) * (x + 7)^5 * (x + 8)^25 * (x + 9)
Tags
Ihara bound
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