Boundedness of Mordell-Well ranks of certain elliptic curves and Lang's conjecture

JOURNAL OF NUMBER THEORY

卷:100

Article

Yamagishi, H

关键词: elliptic curves;    Mordell-Weil rank;    Lang's conjecture;   

DOI  :  10.1016/S0022-314X(02)00126-9

来源: Elsevier

【 摘 要 】

In this paper, we show that a special case of Lang's conjecture on rational points on surfaces of general type implies that there exist only finitely many elliptic curves, when the x-coordinates of n rational points are specified with ngreater than or equal to8. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free