manYPoints – Table of Curves with Many Points
Entry details for q =
17
3
= 4913
, g =
4
Table
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Lower bound
N
min
= 5474
Earlier entry
Submitted by
Ane Anema
Date
05-26-2016
Reference
Not available
Comments
y^2 = x^9 + z^2769*x^5 + z^1240*x with z^3 + z + 14 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 5474
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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