manYPoints – Table of Curves with Many Points
Entry details for q =
7
5
= 16807
, g =
2
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Lower bound
N
min
= 17324
Submitted by
M. Afzal Soomro
Date
04/10/2010
Reference
Not available
Comments
Deuring, Max
Die Typen der Multiplikatorenringe elliptischer Funktionenkörper.
Abh. Math. Sem. Hansischen Univ. 14, (1941). 197--272.
This number of point is reached by the curve
y^2=x^6+x^4+a^(68)*x^2+a^16617, where "a" satisfies Minimal polynomial X^5+X+4 in F_7[X].
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Formulas for N_q(1) and N_q(2)
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Upper bound
N
max
= 17324
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
Comments
Tags
Formulas for N_q(1) and N_q(2)
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