manYPoints – Table of Curves with Many Points
Entry details for q =
7
1
= 7
, g =
4
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Lower bound
N
min
= 24
Submitted by
Alessandra Rigato
Date
05-26-2010
Reference
Alessandra Rigato
The maximum number of rational points for a genus 4 curve over F_7 is 24
arXiv:1005.4660 [math.NT]
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Tags
Explicit curves
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Upper bound
N
max
= 25
Earlier entry
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. Here is a real Weil polynomial that we don't know how to eliminate: (x + 2) * (x + 5)^3
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Ihara bound
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