manYPoints – Table of Curves with Many Points
Entry details for q =
5
5
= 3125
, g =
10
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Lower bound
N
min
= 4092
Earlier entry
Submitted by
Everett Howe
Date
05-18-2023
Reference
Valerio Dose, Guido Lido, Pietro Mercuri, and Claudio Stirpe
Modular curves with many points over finite fields
J. Algebra 635 (2023) 790–821
Comments
Tags
Elliptic modular curves
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Upper bound
N
max
= 4236
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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