manYPoints – Table of Curves with Many Points
Entry details for q =
2
1
= 2
, g =
1
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Lower bound
N
min
= 5
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)
User comments
Explicit Curve
M. Afzal Soomro
03-09-2010 18:22
This number of point is reached by the curve
y^2+y=x^3+x.
Upper bound
N
max
= 5
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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