Some remarks on a theorem of Parent and generalizing Ogg's conjecture

被引：0

作者：

Kamienny, S. ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

ELLIPTIC-CURVES; MODULAR-CURVES; TORSION POINTS; RATIONAL-POINTS; SPECIAL VALUES; EXTENSIONS;

D O I：

10.1017/S0305004109002485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We carry out an Eisenstein prime descent to prove the finiteness of the Mordell-Weil group of the Eisenstein quotients of J(1) (p) for certain values of p that are relevant to torsion in elliptic curves over cubic fields. We then use this to recover some results of Parent. Our methods suggest a possible generalization of Ogg's conjecture for torsion in elliptic curves over number fields.

引用

页码：285 / 293

页数：9

共 50 条

[21] Some remarks on Baire's grand theorem
Camerlo, Riccardo
Duparc, Jacques
ARCHIVE FOR MATHEMATICAL LOGIC, 2018, 57 (3-4) : 195 - 201
[22] SOME REMARKS ON LEOPOLDTS CONJECTURE
SHIMADA, T
MANUSCRIPTA MATHEMATICA, 1992, 77 (04) : 405 - 414
[23] Some remarks on the Lehmer conjecture
José A. de la Peña
Archiv der Mathematik, 2018, 111 : 33 - 42
[24] Some remarks on the Lehmer conjecture
de la Pena, Jose A.
ARCHIV DER MATHEMATIK, 2018, 111 (01) : 33 - 42
[25] SOME REMARKS ON GARAYS CONJECTURE
MROZEK, M
ACTA MATHEMATICA HUNGARICA, 1991, 57 (1-2) : 53 - 59
[26] SOME REMARKS ON ARTIN CONJECTURE
MURTY, MR
SRINIVASAN, S
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1987, 30 (01): : 80 - 85
[27] SOME REMARKS ON A CONJECTURE OF DEOLIVEIRA
BEBIANO, N
DAPROVIDENCIA, J
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 102 : 241 - 246
[28] SOME REMARKS ON A CONJECTURE OF ALPERIN
KNORR, R
ROBINSON, GR
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 39 : 48 - 60
[29] SOME REMARKS ON VAUGHTS CONJECTURE
HARNIK, V
MAKKAI, M
JOURNAL OF SYMBOLIC LOGIC, 1975, 40 (02) : 300 - 301
[30] Generalizing Parikh's Theorem
Makowsky, Johann A.
GAMES, NORMS AND REASONS: LOGIC AT THE CROSSROADS, 2011, 353 : 163 - +

← 1 2 3 4 5 →