manYPoints – Table of Curves with Many Points
Entry details for q =
17
3
= 4913
, g =
9
Table
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Lower bound
N
min
= 5928
Submitted by
S.E.Fischer
Date
10-08-2019
Reference
Not available
Comments
Reached by the curve
x^4 + x^2*y^2 + x*y + 16*x^3*y^3 + 4*x^4*y^4 + 3 + y^4 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 6172
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 + 138) * (x + 140)^8
Tags
None
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No comments have been made.