Elliptic curves with 3-adic Galois representations surjective mod 3 but not mod 9. available at http://arxiv.org/abs/math/0612734Noam Elkies, Elliptic curves with 3-adic Galois representation surjective mod 3 but not mod 9, preprint available at http://arxiv.org/abs/math/ 0612734, 2006....
Elliptic curves over ℚ and 2-adic images of Galois We give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over \\\(\\\mathbb {Q}\\\). To this end, ... J Rouse,D Zureickbrown - 《Research in Number Theory》 被引量: 47发表...
[Lecture Notes in Mathematics] Arithmetic Theory of Elliptic Curves Volume 1716 || Torsion points on J 0(N) and Galois representations Arithmetic theory of elliptic curves : lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, Ju...
The last chapter handles the case of elliptic curves with no complex multiplication, the main result of which is that the image of the Galois group (in the corresponding l-adic representation) is 展开 关键词: Representations of groups Curves Elliptic Algebraic fields ...
Galois representationselliptic curvesFermat equationIn this paper we prove that for every integer [Formula: see text], there exists an explicit constant [Formula: see text] such that the following holds. Let [Formula: see text] be a number field of degree [Formula: see text], let [Formula:...
On Birch and Swinnerton-Dyer’s conjecture for elliptic curves with complex multiplication. I. Compositio Math., 37(2):209–232, 1978. Google Scholar E. Artin. Galois theory. Dover Publications Inc., Mineola, NY, second edition, 1998. Edited and with a supplemental chapter by Arthur N. ...
The generalization$(x-1)^k+x^k+(x+1)^k=z^n$ (with $x$, $z$, $n$ integers and $n \\ge 2$) wasconsidered by Zhongfeng Zhang who solved it for $k=2$, $3$, $4$ usingFrey-Hellegouarch curves and their Galois representations. In this paper, byemploying some sophisticated ...
关键词: Elliptic curves Galois representations GALOIS 年份: 2024 收藏 引用 批量引用 报错 分享 全部来源 求助全文 国家科技图书文献中心 (权威机构) 相似文献High-Performance Implementation of Point Multiplication on Koblitz Curves Fast and high-performance computation of finite-field arithmetic is crucial ...
Serre, J-P.: Zeta- andL-functions, in Arithmetical Algebraic Geometry. New York: Harper and Row 1966 Google Scholar Serre, J-P.: Abelianl-adic representations and elliptic curves. New York: Benjamin 1968 Google Scholar Serre, J-P., Tate, J.: Good reduction of abelian varieties. Annal...
Moreover, for an elliptic curve E/Q, the 2-dimensional mod-ℓ Galois representations of Gal(Q(E[ℓ])/Q) are computed by Zywina in [17, Sections 1.8, 1.9] with their MAGMA codes posted in his homepage and in this result, it can be seen that for CM elliptic curves over Q, ...