Entry details for q = 591 = 59, g = 8
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Lower bound Nmin = 154

Submitted by thieyacinetop@yahoo.fr
Date 11/16/2016
Reference Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2= x^5 + x^2 + 8*x + 35
z^2= x^5 + 6*x^4 + 19*x^3 + 49*x^2 + 53*x + 12
Tags Methods from general class field theory

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Upper bound Nmax = 174

Submitted by Everett Howe
Date 06/16/2016
Reference Karl-Otto Stöhr and José Felipe Voloch
Weierstrass points and curves over finite fields
Proc. London Math. Soc. (3) Vol. 52, No. 1 (1986) 1–19
Comments
Proposition 3.1
Tags Stöhr-Voloch bound

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