{
  "id": "1208.1337",
  "version": "v3",
  "published": "2012-08-07T05:46:30.000Z",
  "updated": "2013-04-09T15:49:36.000Z",
  "title": "Bounding the $j$-invariant of integral points on modular curves",
  "authors": [
    "Min Sha"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we give some effective bounds for the $j$-invariant of integral points on arbitrary modular curves over arbitrary number fields assuming that the number of cusps is not less than 3.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-09T15:49:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral points",
      "arbitrary modular curves",
      "arbitrary number fields assuming",
      "effective bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.1337S"
    }
  }
}