manYPoints – Table of Curves with Many Points
Entry details for q =
7
3
= 343
, g =
46
Table
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Lower bound
N
min
= 1512
Submitted by
Felipe Voloch
Date
06-06-2016
Reference
Jose Felipe Voloch, Michael Zieve
Rational points on some Fermat curves and surfaces over finite fields
International Journal of Number Theory, Vol. 10, No. 2 (2014) 319–325
Comments
Cover of x^6+y^6+1 given by z^3 = xy.
Tags
Explicit curves
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Upper bound
N
max
= 2046
Later entry
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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