{
  "id": "1107.2776",
  "version": "v1",
  "published": "2011-07-14T10:24:33.000Z",
  "updated": "2011-07-14T10:24:33.000Z",
  "title": "Integral points of a modular curve of level 11",
  "authors": [
    "René Schoof",
    "Nikos Tzanakis"
  ],
  "comment": "10 pages. To be published in Acta Arithmetica",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using lower bounds for linear forms in elliptic logarithms we determine the integral points of the modular curve associated to the normalizer of a non-split Cartan group of level 11. As an application we obtain a new solution of the class number one problem for complex quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-14T10:24:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F03",
      "11G05",
      "11J86",
      "11R29"
    ],
    "keywords": [
      "integral points",
      "non-split cartan group",
      "complex quadratic fields",
      "lower bounds",
      "linear forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2776S"
    }
  }
}