Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897134 | Journal of Number Theory | 2018 | 18 Pages |
Abstract
Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K) is finitely generated: E(K)â
E(K)torÃZr. In this paper, we discuss the cyclic torsion subgroup of elliptic curves over cubic number fields. For N=169,143,91,65,77 or 55, we show that Z/NZ is not a subgroup of E(K)tor for any elliptic curve E over a cubic number field K.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jian Wang,