manYPoints – Table of Curves with Many Points
Entry details for q =
59
1
= 59
, g =
8
Table
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Lower bound
N
min
= 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
N
max
= 174
Earlier entry
Submitted by
Everett Howe
Date
06-16-2016
Reference
Karl-Otto Stöhr, 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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