Complex multiplication structure of elliptic curves. Journal of Number Theory, 56:227- 241, 1996.Lenstra H. W. Jr.: Complex multiplication structure of elliptic curves. J. Number Theory 56 , 227–241 (1996) MathSciNet MATHH. W. Lenstra, Jr., Complex multiplication structure of elliptic ...
Overview Authors: Benedict H. Gross Part of the book series: Lecture Notes in Mathematics (LNM, volume 776) 10k Accesses This is a preview of subscription content, log in via an institution to check access. Keywords Komplexe Multiplikation Multiplication arithmetic classification elliptic ...
complex 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 number....
The GL_2 main conjecture for elliptic curves without complex multiplication Let G be a compact p -adic Lie group, with no element of order p , and having a closed normal subgroup H such that G/H is isomorphic to Z p . We prove the... J Coates,T Fukaya,K Kato,... - 《...
We describe the required algorithms as we go, these involve the reduction of period matrices, ... P Kilicer,H Labrande,R Lercier,... 被引量: 9发表: 2017年 Degree of isogenies of elliptic curves with complex multiplication. Let E be an elliptic curve over with complex multiplication. ...
1) complex multiplication 虚数乘法 1. Whencomplex multiplication(CM) is used to create elliptic curves over F_p,the ring of complex quadratic field is only used. 利用虚数乘法(Com p lex M u ltip lication,CM)生成Fp上的椭圆曲线,通常只使用虚二次域的最大整环。
Lecture Notes in Mathematics Arithmetic on Elliptic Curves with Complex Multiplication For every normalized newform f in S_2(Gamma_1(N)) with complex\nmultiplication, we study the modular parametrizations of elliptic curves C from\nthe abelian variety A_f. We apply the results obtained when C...
On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields Introduction. Although it has occupied a central place in number theory for almost a century, the arithmetic of elliptic curves is still today a subject which is rich in conjectures, but sparse ...
- 《Annals of Thoracic Surgery》 被引量: 155发表: 1990年 Local Heights on Curves In this paper we will review the theory of local heights on curves and describe its relationship to the global height pairing on the Jacobian. The local results are all special cases of N茅ron's theory [9...
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...