manYPoints – Table of Curves with Many Points
Entry details for q = 21 = 2, g = 1
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Lower bound Nmin = 5

Submitted by Gerrit Oomens
Date 01/01/1900
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).
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Tags Formulas for N_q(1) and N_q(2)

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Explicit Curve     
M. Afzal Soomro
03/09/2010 18:22
This number of point is reached by the curve

y^2+y=x^3+x.
Upper bound Nmax = 5

Submitted by Everett Howe
Date 04/27/2010
Reference Helmut Hasse
Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung
J. Reine Angew. Math. 175 (1936) 193–208.
Comments
Tags Formulas for N_q(1) and N_q(2), Hasse-Weil-Serre bound

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