{
  "id": "0707.1617",
  "version": "v1",
  "published": "2007-07-11T13:30:57.000Z",
  "updated": "2007-07-11T13:30:57.000Z",
  "title": "Computation of the cover of Shimura curves $X_0(2) \\to X(1)$ for the cyclic cubic field of discriminant 13^2",
  "authors": [
    "Emmanuel Hallouin"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We compute the canonical model of the cover of Shimura curves $X_0(2) \\to X(1)$ for the cubic field of discriminant 13^2 described at the end of Elkies' paper \"Shimura curves for level 3 subgroups of the (2,3,7) triangle group\". Last, we list the coordinates of some rational CM points on X(1).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-11T13:30:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "14G35",
      "11G15"
    ],
    "keywords": [
      "shimura curves",
      "cyclic cubic field",
      "discriminant",
      "computation",
      "rational cm points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1617H"
    }
  }
}