Elliptic curves with complex multiplication and Galois module structure - Srivastav, Taylor - 1990 () Citation Context ...34]. Suppose that F is a number field. Then the class invariant homomorphism ψ is defined by ψ : H 1 (Spec(R),G) → Pic(G ∗ ); π ↦→ (Lπ). Remark...
root numbercomplex multiplicationquadratic twistsLetE/Fbe an elliptic curve defined over a number fieldF. Suppose thatEhas complex multiplication overF, i.e.EndF(E)is an imaginary quadratic field. With the aid of CM theory, we find elliptic curves whose quadratic twists have a constant root ...
Elliptic ℚ-Curves with Complex Multiplication 来自 Springer 喜欢 0 阅读量: 29 作者: T Nakamura 摘要: Let H be the Hilbert class field of an imaginary quadratic field K . An elliptic curve E over H with complex multiplication by K is called a -curve if E is isogenous over H to ...
N. Arthaud. 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 Arth...
Arithmetic on Elliptic Curves with Complex Multiplication 作者:B.H. Gross 出版社:Springer 出版年:1980-3-18 页数:95 定价:USD 39.95 装帧:Paperback ISBN:9783540097433 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到
Complex multiplication tests for elliptic curves - Charles - 2004 () Citation Context ...nd other aspects of algorithmic number theory [6]. Motivated by this, one might seek an algorithm for determining whether a given elliptic curve E over a number field K has complex multiplication. In =-...
Does that modular form have anything to do with string theory? In this article, we address a question along this line for elliptic curves that have complex multiplication defined over number fields. So long as we use diagonal rational \({\mathcal{N}=(2,2)}\) superconformal field theories ...
Lecture Notes in Mathematics Arithmetic on Elliptic Curves with Complex Multiplication The Conjecture of Birch and Swinnerton-Dyer relates an analytic invariant of an elliptic curve -- the value of the L-function, to an algebraic invariant of the curve -- the order of the Tate--Shafarevich group...
The theory of complex multiplication Benedict H. Gross Pages 4-22 A classification Benedict H. Gross Pages 23-33 Local arithmetic Benedict H. Gross Pages 34-44 Global arithmetic Benedict H. Gross Pages 45-66 The Q-curve A(p) Benedict H. Gross Pages 67-86 Back Matte...
IfEdoes not have complex multiplication, then\mathcal {O}=\mathbb {Z}. In this case, we are almost in the setting of [13]. For this reason, we call this paper “sequences associated to curves with complex multiplication”. In any case, even whenEdoes not have CM, Theorem1.8and Corol...