Images of mod p Galois representations associated to elliptic curves

被引:8
作者
Reverter, A
Vila, N
机构
[1] IES Bellvitge, Dept Matemat, E-08907 Lhospitalet De Llobregat, Spain
[2] Univ Barcelona, Fac Matemat, Dept Algebra & Geometria, E-08007 Barcelona, Spain
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2001年 / 44卷 / 03期
关键词
Galois groups; elliptic curves; Galois representation; isogeny;
D O I
10.4153/CMB-2001-031-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an explicit recipe for the determination of the images associated to the Galois action on p-torsion points of elliptic curves. We present a table listing the image for all the elliptic curves defined over Q without complex multiplication with conductor less than 200 and for each prime number p.
引用
收藏
页码:313 / 322
页数:10
相关论文
共 5 条
[1]  
BIRCH BJ, 1972, LECT NOTES MATH, V476
[2]   RATIONAL ISOGENIES OF PRIME DEGREE [J].
MAZUR, B .
INVENTIONES MATHEMATICAE, 1978, 44 (02) :129-162
[3]   GOOD REDUCTION OF ABELIAN VARIETIES [J].
SERRE, JP ;
TATE, J .
ANNALS OF MATHEMATICS, 1968, 88 (03) :492-&
[4]  
SERRE JP, 1972, INVENT MATH, V15, P259
[5]  
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