manYPoints – Table of Curves with Many Points
Entry details for q =
13
1
= 13
, g =
22
Table
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Lower bound
N
min
= 105
Submitted by
Karl Rökaeus
Date
06-24-2011
Reference
Karl Rökaeus
Computer search for curves with many points among abelian covers of genus 2 curves over F_13
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 128
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 + 5)^13 * (x + 6)^8
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None
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