{
  "id": "0803.2809",
  "version": "v5",
  "published": "2008-03-19T14:44:52.000Z",
  "updated": "2009-06-19T05:27:53.000Z",
  "title": "On some congruence properties of elliptic curves",
  "authors": [
    "Derong Qiu"
  ],
  "comment": "11 pages, The title is changed. Thanks to a result of J.-P. Serre from his letter on June 15, 2009 to the author, a complete solution for an open question of Kim, Koo and Park is obtained in this fifth revised version. Some related questions and results are also presented and discussed",
  "journal": "Archiv der Mathematik, 94 (2010), 139-145",
  "doi": "10.1007/s00013-009-0100-x",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper, as a result of a theorem of Serre on congruence properties, a complete solution is given for an open question (see the text) presented recently by Kim, Koo and Park. Some further questions and results on similar types of congruence properties of elliptic curves are also presented and discussed.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-06-19T05:27:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H52",
      "11G05",
      "11G20"
    ],
    "keywords": [
      "congruence properties",
      "elliptic curves",
      "similar types",
      "open question",
      "complete solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2809Q"
    }
  }
}