{
  "id": "1910.11663",
  "version": "v1",
  "published": "2019-10-25T12:45:12.000Z",
  "updated": "2019-10-25T12:45:12.000Z",
  "title": "Integral points on the modular curves $X_0(p)$",
  "authors": [
    "Yulin Cai"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we give an explicit bound for the height of integral points on $X_0(p)$ by using a very explicit version of the Chevalley-Weil principle. We improve the bound given by Sha in \\cite{sha2014bounding1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-25T12:45:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral points",
      "modular curves",
      "chevalley-weil principle",
      "explicit bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}