Entry details for q = 71 = 7, g = 6
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Lower bound Nmin = 28

Submitted by Everett Howe
Date 08/13/2016
Reference Everett W. Howe
Curves of medium genus with many points
arXiv:1609.01838 [math.NT]
Comments
Explicit curve: y^2 = f1*f2, z^2 = f1*f3, where f1 = x^2 + 4, f2 = x^3 + 2*x^2 + 2, f3 = x^3 + 4*x^2 + 6*x + 1.
Tags Explicit curves

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Upper bound Nmax = 32

Submitted by Everett Howe
Date 04/14/2010
Reference Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 4)^6
Tags Ihara bound

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