Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (5): 12-19.
• Article • Previous Articles Next Articles
SUN Nai-zhe
Received:
Revised:
Online:
Published:
Contact:
Abstract: Let K be the 3rd cyclotomic field, E D[lambda] :y2=x3-24 3 3 D[lambda]] be an elliptic curve defined over K, where D\in K is a square-free algebraic integer and [[lambda]] in Z . Qiu Derong found a rather complicated function as the criterion for the value of the Hecke L-function attached to the curve E D[lambda]([lambda]=2,4) at s=1 divided by the period [OMEGA] to be exactly divisible by 3 n/2 -1 . This paper reduced Qiu’s criterion to a simpler version in terms of weighted graphs.
Key words: complex multiplication, Hecke L-function, weighted graph, spanning tree, elliptic curves, complex multiplication, Hecke L-function, weighted graph, spanning tree
CLC Number:
O177.5
SUN Nai-zhe . Criterion for Elliptic Curves with the Lowest 3-Power in L(1)(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2007, 2007(5): 12-19.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://xblk.ecnu.edu.cn/EN/
https://xblk.ecnu.edu.cn/EN/Y2007/V2007/I5/12