TY - JOUR
T1 - On the elliptic curves modulo p
AU - Kim, Daeyeoul
AU - Koo, Ja Kyung
AU - Park, Yoon Kyung
PY - 2008/4
Y1 - 2008/4
N2 - We first prove Sun's three conjectures [Z.H. Sun, On the number of incongruent residues of x4 + a x2 + b x modulo p, J. Number Theory 119 (2006) 210-241; Z.H. Sun, http://sfb.hytc.edu.cn/xsjl/szh/, 2000, June] on the number of rational points of some elliptic curves over finite fields Fp, which are related to the congruence cubic and quartic residue. And we provide some examples and comments concerning these conjectures.
AB - We first prove Sun's three conjectures [Z.H. Sun, On the number of incongruent residues of x4 + a x2 + b x modulo p, J. Number Theory 119 (2006) 210-241; Z.H. Sun, http://sfb.hytc.edu.cn/xsjl/szh/, 2000, June] on the number of rational points of some elliptic curves over finite fields Fp, which are related to the congruence cubic and quartic residue. And we provide some examples and comments concerning these conjectures.
KW - Elliptic curves
UR - http://www.scopus.com/inward/record.url?scp=39749120845&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2007.04.015
DO - 10.1016/j.jnt.2007.04.015
M3 - Article
AN - SCOPUS:39749120845
SN - 0022-314X
VL - 128
SP - 945
EP - 953
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 4
ER -