manYPoints – Table of Curves with Many Points
Entry details for q =
17
1
= 17
, g =
9
Table
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Lower bound
N
min
= 72
Earlier entry
Submitted by
Everett Howe
Date
08-12-2025
Reference
Motoko Qiu Kawakita
Fibre products of three hyperelliptic curves with many points
preprint
Comments
Explicit curve: y^2 = (x-1)*(x-12)*(x-16), z^2 = (x-4)*(x-12)*(x-16)*(x-3), w^2 = x*(x-4)*(x-15).
Tags
Fibre products of hyperelliptic curves, Explicit curves
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Upper bound
N
max
= 83
Earlier entry
Submitted by
Everett Howe
Date
01-05-2012
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 + 1) * (x + 8)^8
Tags
None
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No comments have been made.