{
  "id": "1211.0129",
  "version": "v2",
  "published": "2012-11-01T09:02:45.000Z",
  "updated": "2012-12-27T10:04:12.000Z",
  "title": "An effective bound of $p$ for algebraic points on Shimura curves of $Γ_0(p)$-type",
  "authors": [
    "Keisuke Arai"
  ],
  "comment": "11 pages. arXiv admin note: substantial text overlap with arXiv:1205.3596, arXiv:1202.4841",
  "categories": [
    "math.NT"
  ],
  "abstract": "In previous articles, we classified the characters associated to algebraic points on Shimura curves of $\\Gamma_0(p)$-type, and over number fields in a certain large class we showed that there are at most elliptic points on such a Shimura curve for every sufficiently large prime number $p$. In this article, we obtain an effective bound of $p$ concerning algebraic points on Shimura curves of $\\Gamma_0(p)$-type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-27T10:04:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "14G05",
      "11G10",
      "11G15"
    ],
    "keywords": [
      "shimura curve",
      "effective bound",
      "sufficiently large prime number",
      "large class",
      "concerning algebraic points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.0129A"
    }
  }
}