manYPoints – Table of Curves with Many Points
Entry details for q =
3
1
= 3
, g =
2
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Lower bound
N
min
= 8
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Jean-Pierre Serre
Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini
C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
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Formulas for N_q(1) and N_q(2)
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Explicit Curve
M. Afzal Soomro
04-09-2010 23:15
This number of point is reached by the curve
y^2=x^6+x^4+x^2+1.
Upper bound
N
max
= 8
Earlier entry
Submitted by
Everett Howe
Date
05-03-2010
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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Formulas for N_q(1) and N_q(2)
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