{
  "id": "1111.2475",
  "version": "v1",
  "published": "2011-11-10T13:54:19.000Z",
  "updated": "2011-11-10T13:54:19.000Z",
  "title": "Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields",
  "authors": [
    "Graeme Taylor"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give examples of points with particularly low height on elliptic curves over quadratic fields, recovered by a search over elliptic divisibility sequences. The smallest example identified satisfies dh(P)=0.0077127...: improving on the previous smallest for curves over quadratic fields of dh(P)=0.0194426... given by Everest and Ward; and comparable with some of the examples of smallest height on curves over Q tabulated by Elkies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-10T13:54:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H52"
    ],
    "keywords": [
      "quadratic fields",
      "elliptic curves",
      "nontorsion points",
      "elliptic divisibility sequences",
      "smallest example identified satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2475T"
    }
  }
}