On a certain supersingular elliptic curve

スポンサーリンク

概要

• 論文の詳細を見る

• In this note, by means of determination of the number of rational points, it is shown that if F is a finite prime field of characteristic p satisfying p≡5(mod 8) then the elliptic curve Y^2=X(X^2+X+r) defined over F is supersingular where r=1/8∈F. As an application, it is also shown that the following equality [numerical formula] holds where n=(p-1)/4.

• 長崎大学の論文
• 2002-03-27

著者

• Washio Tadashi

  Department Of Mathematics Faculty Of Education Nagasaki University

• Kodama Tetsuo

  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
• On a certain supersingular elliptic curve
• Note on certain quadratic nonresidues
• A family of maximal hyperelliptic function fields of genus 2
• The number of rational points of certain hyperelliptic curves of genus 2
• Note on a certain supersingular elliptic curve

スポンサーリンク