manYPoints – Table of Curves with Many Points
Entry details for q =
5
5
= 3125
, g =
4
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Lower bound
N
min
= 3522
Later entry
Submitted by
M. Afzal Soomro
Date
01-24-2013
Reference
Not available
Comments
Explicit curves: y^2=x^3+a^97*x+1, z^2=(x+a^906)^3+a^97*(x+a^906)+1, where 'a' is a root of t^5+4*t+3 over F_5.
Tags
Explicit curves
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Upper bound
N
max
= 3570
Submitted by
Everett Howe
Date
04-14-2010
Reference
Jean-Pierre Serre
Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini
C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments
The Hasse-Weil-Serre bound
Tags
Hasse-Weil-Serre bound
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