Entry details for q = 55 = 3125, g = 4
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Lower bound Nmin = 3522

Submitted by M. Afzal Soomro
Date 01/24/2013
Reference Not available
Comments
Explicit curves: y^2=x^3+a^97*x+1, z^2=(x+a^906)^3+a^97*(x+a^906)+1, where 'a' is a root of t^5+4*t+3 over F_5.
Tags Explicit curves

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Upper bound Nmax = 3570

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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