On the rank of elliptic curves over Q(√-3) with torsion groups Z/3Z x Z/3Z and Z/3Z x Z/6Z

被引：6

作者：

Bokun, Mirela Jukic ^{[1
]}

机构：

[1] Univ Osijek, Dept Math, Trg Ljudevita Gaja 6, Osijek 31000, Croatia

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 05期

关键词：

Elliptic curve; torsion group; rank; POINTS;

D O I：

10.3792/pjaa.87.61

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct elliptic curves over the field Q(root-3) with torsion group Z/3Z x Z/3Z and ranks equal to 7 and an elliptic curve over the same field with torsion group Z/3Z x Z/6Z and rank equal to 6.

引用

页码：61 / 64

页数：4

共 50 条

[41] (3Z,6Z,9Z,12Z,15Z)-Pentacosapentaene and (9Z,11E)-Tetradecadienyl Acetate: Attractant Lure Blend for Dioryctria ebeli (Lepidoptera: Pyralidae)
Miller, Daniel R.
Millar, Jocelyn G.
Grant, Gary G.
MacDonald, Linda
DeBarr, Gary L.
JOURNAL OF ENTOMOLOGICAL SCIENCE, 2010, 45 (01) : 54 - 57
[42] MORE　FACILE　SYNTHESES　TO　THE　SEX　PHEROMONE　COMPONENTS　OF　THE　WINTER　MOTH（OPEROPHTERABRUMATAL．（LEPIDOPTERA：GEOMETRIDAE）：（3Z，6Z，9Z）－3，6，9－NONADECATRIENE，（6Z，9Z）－6，9－NONADECADIENE
Bao Ming Xu
Liang Fn HUANG
Shu Xiang SHAN and Xue You ZHU(Departmnt of Biotechnoleqy
Chinese Chemical Letters, 1994, (01) : 5 - 8
[43] SHORT SYNTHESIS OF 1,3Z,6Z,9Z-TETRAENE HYDROCARBONS - LEPIDOPTERAN SEX ATTRACTANTS
MILLAR, JG
UNDERHILL, EW
CANADIAN JOURNAL OF CHEMISTRY-REVUE CANADIENNE DE CHIMIE, 1986, 64 (12): : 2427 - 2430
[44] CONSTITUENTS OF MARINE PLANTS .55. THE STRUCTURES OF (3Z)-EPOXYVENUSTIN, (3Z)-VENUSTIN, AND (3Z)-VENUSTINENE, NEW HALOGENATED C-15-NONTERPENOIDS FROM THE RED ALGA LAURENCIA-VENUSTA-YAMADA
SUZUKI, M
KUROSAWA, E
FURUSAKI, A
MATSUMOTO, T
CHEMISTRY LETTERS, 1983, (05) : 779 - 782
[45] Short synthesis of (3Z,6E)-α-Farnesene
Journal of Organic Chemistry, 1995, 60 (19):
[46] Construction of elliptic curves with rank >= 5 over Q(t) with a torsion group isomorphic to Z/2Z x Z/2Z
Kulesz, L
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (06): : 503 - 506
[47] The Fourier expansion of η(z)η(2z)η(3z)/η(6z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{\eta (z)\eta (2z)\eta (3z)/\eta (6z)}$$\end{document}
Christian Kassel
Christophe Reutenauer
Archiv der Mathematik, 2017, 108 (5) : 453 - 463
[48] ON THE GENUS OF Z3 X Z3 X Z3
BRIN, MG
SQUIER, CC
EUROPEAN JOURNAL OF COMBINATORICS, 1988, 9 (05) : 431 - 443
[49] (3Z,6Z,9Z,12Z,15Z)-pentacosapentaene and (9Z,11E)-tetradecadienyl acetate: sex pheromone of the spruce coneworm Dioryctria abietella (Lepidoptera: Pyralidae)
Lofstedt, C.
Svensson, G. P.
Jirle, E. V.
Rosenberg, O.
Roques, A.
Millar, J. G.
JOURNAL OF APPLIED ENTOMOLOGY, 2012, 136 (1-2) : 70 - 78
[50] Total synthesis of (3Z,9Z,6S,7R) and (3Z,9Z,6R,7S)-6,7-epoxy-3,9-octadecadienes
Xu, Kai
Zhao, Shuai
Xu, Jia-Kuan
Shan, Ming-Wei
Yu, Jia-Li
Wang, Yu-Bo
Zhang, Cheng-Fang
Chen, Xin
SYNTHETIC COMMUNICATIONS, 2017, 47 (20) : 1848 - 1853

← 1 2 3 4 5 →