Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication

被引：0

作者：

Winfried Kohnen

Ken Ono

机构：

[1] Mathematisches Institut,

[2] Universität Heidelberg,undefined

[3] INF 288,undefined

[4] D-69120 Heidelberg,undefined

[5] Germany (e-mail: winfried@mathi.uni-heidelberg.de),undefined

[6] Department of Mathematics,undefined

[7] Penn State University,undefined

[8] University Park,undefined

[9] PA 16802,undefined

[10] USA (e-mail: ono@math.psu.edu),undefined

来源：

Inventiones mathematicae | 1999年 / 135卷

关键词：

Complex Multiplication; Elliptic Curf; Class Number; Quadratic Field; Imaginary Quadratic Field;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：387 / 398

页数：11

共 43 条

[31] TORSION OF ELLIPTIC CURVES OVER IMAGINARY QUADRATIC FIELDS OF CLASS NUMBER 1
Sarma, Naba Kanta
Saikia, Anupam
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (08) : 2689 - 2703
[32] Coefficients of half-integral weight modular forms and indivisibility of class numbers of imaginary quadratic fields
Dai, Haobo
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (02) : 561 - 565
[33] Stable models of elliptic curves, ring class fields, and complex multiplication
Guàrdia, J
Torres, E
Vela, M
ALGORITHMIC NUMBER THEORY, PROCEEDINGS, 2004, 3076 : 250 - 262
[34] Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
Brillhart, J
Morton, P
JOURNAL OF NUMBER THEORY, 2004, 106 (01) : 79 - 111
[35] CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS USING y-COORDINATES OF ELLIPTIC CURVES
Koo, Ja Kyung
Shin, Dong Hwa
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 847 - 864
[36] Steinitz class of Mordell-Weil groups of elliptic curves with complex multiplication
Liu, T
Zhang, XK
PACIFIC JOURNAL OF MATHEMATICS, 2000, 193 (02) : 371 - 379
[37] On elliptic curves of prime power conductor over imaginary quadratic fields with class number 1
Cremona, John
Pacetti, Ariel
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019, 118 (05) : 1245 - 1276
[38] EXPLICIT CHARACTERIZATION OF THE TORSION GROWTH OF RATIONAL ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION OVER QUADRATIC FIELDS
Gonzalez-Jimenez, Enrique
GLASNIK MATEMATICKI, 2021, 56 (01) : 47 - 61
[39] Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1
Balcik, Irmak
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (10) : 2641 - 2661
[40] On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units
Ohshita, Tatsuya
KYOTO JOURNAL OF MATHEMATICS, 2013, 53 (04) : 845 - 887

← 1 2 3 4 5 →