Elliptic curves over ℚ $\mathbb {Q}$ and 2-adic images of Galois
Elliptic curves over ℚ
$\mathbb {Q}$
and 2-adic images of Galois
复制标题
ℚ $mathbb {Q}$ 上的椭圆曲线和 Galois 的 2-adic 图像
DOI：
10.1007/s40993-015-0013-7
复制
发表时间：
2014
影响因子：
0.8
通讯作者：
David Zureick
中科院分区：
文献类型：
--
作者：
Jeremy A. Rouse;David Zureick
摘要给出了与椭圆曲线相关的伽罗瓦表示的所有可能的二进图像的分类
AbstractWe give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over ℚ
$\mathbb {Q}$
. To this end, we compute the ‘arithmetically maximal’ tower of 2-power level modular curves, develop techniques to compute their equations, and classify the rational points on these curves.