Note on a certain supersingular elliptic curve

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概要

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• Let p be an odd prime number such that p≡2 (mod 3) and denote by F a finte prime field of characteristic p. Then it is shown that an elliptic curve Y^2=X (X^2+X+s) defined over F is supersinglar and so that the following equality [numerical formula] holds in F where t=(p-1)/2,n=[t/2] and s=1/3 ⋴ F

• 長崎大学の論文
• 2002-06-28

著者

• Washio Tadashi

  Department Of Mathematics Faculty Of Education Nagasaki University

• Kodama Tetsuo

  Department Of Mathematics Faculty Of Education Nagasaki University:kyushu University

関連論文

• The number of rational points of certain hyperelliptic curves of genus 3 : To the Memory of Professor Katsumi Shiratani
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• Note on certain quadratic nonresidues
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• The number of rational points of certain hyperelliptic curves of genus 2
• Note on a certain supersingular elliptic curve

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