manYPoints – Table of Curves with Many Points
Entry details for q =
2
1
= 2
, g =
14
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Lower bound
N
min
= 16
Earlier entry
Submitted by
Virgile Ducet
Date
05-23-2012
Reference
Not available
Comments
The curve has equation:
y^8 + (x^10 + x^8 + x^6 + x^4 + x^3 + x)*y^6 + (x^17 + x^15 + x^9 + x^7 + x^3 + x)*y^5 + (x^28 + x^23 + x^22 + x^19 + x^18 + x^16 + x^14 + x^12 + x^11 + x^10 + x^9 + x^7 + x^5 + x^4 + x^2 + x + 1)*y^4 + (x^31 + x^29 + x^15 + x^13 + x^3 + x)*y^3 + (x^40 + x^37 + x^36 + x^30 + x^24 + x^21 + x^20 + x^14 + x^12 + x^9 + x^8 + x^2)*y^2 + (x^47 + x^45 + x^39 + x^37 + x^33 + x^29 + x^23 + x^21 + x^19 + x^15 + x^11 + x^9 + x^5 + x^3)*y + x^60 + x^58 + x^53 + x^51 + x^49 + x^47 + x^46 + x^45 + x^44 + x^43 + x^41 + x^38 + x^36 + x^32 + x^31 + x^29 + x^27 + x^26 + x^23 + x^22 + x^20 + x^18 + x^15 + x^14 + x^13 + x^10 + x^9 + x^8 + x^7 + x^5
Tags
Methods from general class field theory
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Upper bound
N
max
= 16
Later entry
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Jean-Pierre Serre
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
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