Entry details for q = 75 = 16807, g = 2
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Lower bound Nmin = 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].
Tags Formulas for N_q(1) and N_q(2)

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Upper bound Nmax = 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
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Tags Formulas for N_q(1) and N_q(2)

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