HEIGHTS OF POINTS ON ELLIPTIC CURVES OVER Q

被引：3
|
作者：
Griffin, Michael [1 ]
Ono, Ken [2 ]
Tsai, Wei-Lun [2 ]
机构：
[1] Brigham Young Univ, Dept Math, 275 TMCB, Provo, UT 84602 USA
[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 12期
关键词：
CANONICAL HEIGHT; LOWER BOUNDS;
D O I：
10.1090/proc/15605
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we obtain effective lower bounds for the canonical heights of non-torsion points on E(Q) by making use of suitable elliptic curve ideal class pairings Psi(E,-D ): E(Q) x E-D(Q) bar right arrow CL(-D). In terms of the class number H(-D) and T-E(-D), a logarithmic function in D, we prove (h) over cap (P) > vertical bar E-tor(Q)vertical bar(2)/(H(-D) + vertical bar E-tor(Q)vertical bar)(2).T-E(-D).( )
引用
收藏
页码：5093 / 5100
页数：8
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