Entry details for q = 31 = 3, g = 2
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Lower bound Nmin = 8

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
04/09/2010 23:15
This number of point is reached by the curve

y^2=x^6+x^4+x^2+1.
Upper bound Nmax = 8

Submitted by Everett Howe
Date 05/03/2010
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
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Tags Formulas for N_q(1) and N_q(2)

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