manYPoints – Table of Curves with Many Points
Entry details for q =
11
4
= 14641
, g =
5
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Lower bound
N
min
= 15852
Submitted by
C. Ritzenthaler
Date
11-03-2014
Reference
Not available
Comments
Explicit curve y^11-y=a*x^2 where a is a non-zero non-square in FF_{11^4}. From the preprint http://arxiv.org/abs/1410.7031
by Irene Bouw, Wei Ho, Beth Malmskog, Renate Scheidler, Padmavathi Srinivasan, Christelle Vincent.
Tags
Explicit curves
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Upper bound
N
max
= 15852
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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