manYPoints – Table of Curves with Many Points
Entry details for q =
13
4
= 28561
, g =
1
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Lower bound
N
min
= 28900
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^2*x+4*a^3, where a satisfies Minimal polynomial X^4+3*X^2+12*X+2 in F_13[X].
Tags
Formulas for N_q(1) and N_q(2)
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Upper bound
N
max
= 28900
Earlier entry
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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