manYPoints – Table of Curves with Many Points
Entry details for q = 51 = 5, g = 2
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Lower bound Nmin = 12

Submitted by M. Afzal Soomro
Date 04/09/2010
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^6+4*x^4+3*x^2+1.
Tags Formulas for N_q(1) and N_q(2)

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Upper bound Nmax = 12

Submitted by Everett Howe
Date 05/03/2010
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
Tags Formulas for N_q(1) and N_q(2)

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