Entry details for q = 54 = 625, g = 1
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Lower bound Nmin = 676

Submitted by M. Afzal Soomro
Date 03/09/2010
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^3+a^3, where a satisfies Minimal polynomial X^4+4*X^2+4*X+2 in F_5[X].
Tags Formulas for N_q(1) and N_q(2)

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Upper bound Nmax = 676

Submitted by Everett Howe
Date 04/27/2010
Reference Helmut Hasse
Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung
J. Reine Angew. Math. 175 (1936) 193–208.
Comments
Tags Hasse-Weil-Serre bound, Formulas for N_q(1) and N_q(2)

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