manYPoints – Table of Curves with Many Points
Entry details for q = 34 = 81, g = 8
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Lower bound Nmin = 226

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Noam D. Elkies
Private communication, 1997
Comments
Tags Quotients of curves with many points

User comments

Explicit Curve     
S.E.Fischer
02-24-2017 22:15
Another equation is given by
2*x^4*y^4 + 2*x^3*y^3 + x^2*y^2 + x*y + x^10 = 0.
Upper bound Nmax = 226

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

User comments

Explicit Equation     
Paulo Cesar
11-16-2016 16:21
y^10+x^4+x^2=0; authors: Torres, F. and Oliveira, P.C.