manYPoints – Table of Curves with Many Points
Entry details for q =
61
1
= 61
, g =
3
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Lower bound
N
min
= 107
Submitted by
C. Ritzenthaler
Date
06/01/2009
Reference
Jaap Top
Curves of genus 3 over small finite fields
Indag. Math. (N.S.) 14 (2003), no. 2, 275–283
Comments
This number of point is reached by the curve C: x^3*z+y^3*z+x^2*y^2+a*x*y*z^2+b*z^4=0 with a=29 and b=34.
The Jacobian of C is isogenous to E^3 with trace(E)=-15 and its automorphism group is S_3 (over F_q and geometric).
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Explicit curves
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Upper bound
N
max
= 107
Later entry
Submitted by
C. Ritzenthaler
Date
06/01/2009
Reference
Not available
Comments
Tags
None
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