manYPoints – Table of Curves with Many Points
Entry details for q =
89
1
= 89
, g =
10
Table
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Lower bound
N
min
= 246
Submitted by
M. Q. Kawakita
Date
05-14-2023
Reference
Annamaria Iezzi, Motoko Qiu Kawakita, and Marco Timpanella
New Sextics of Genus 6 and 10 Attaining the Serre Bound
Adv. Geom. 24(2024) 99–109
Comments
x^6+y^6+1+37*(x^4*y^2+x^2*y^4+x^4+x^2+y^4+y^2)+43*x^2*y^2=0
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Explicit curves
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Upper bound
N
max
= 267
Earlier entry
Submitted by
Everett Howe
Date
06-16-2016
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
Obtained using version 1.0 of IsogenyClasses.magma, available at linked URL. A real Weil polynomial we don't know how to eliminate: (x + 15) * (x + 18)^9
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None
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