manYPoints – Table of Curves with Many Points
Entry details for q =
11
2
= 121
, g =
22
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Lower bound
N
min
= 462
Submitted by
Everett Howe
Date
10/24/2021
Reference
Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 and z^6 = (x^2 + 10) * (10*x^2 + 1) / x.
Tags
Explicit curves
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Upper bound
N
max
= 600
Submitted by
Everett Howe
Date
04/14/2010
Reference
Everett W. Howe, Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
Comments
A real Weil polynomial we don't know how to eliminate: (x + 22)^20 * (x^2 + 38*x + 356)
Tags
None
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