{
  "id": "1307.6174",
  "version": "v2",
  "published": "2013-07-23T17:49:49.000Z",
  "updated": "2013-11-12T19:44:31.000Z",
  "title": "Computation on Elliptic Curves with Complex Multiplication",
  "authors": [
    "Pete L. Clark",
    "Patrick Corn",
    "Alex Rice",
    "James Stankewicz"
  ],
  "comment": "24 pages, 3 figures, submitted",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give the complete list of possible torsion subgroups of elliptic curves with complex multiplication over number fields of degree 1-13. Additionally we describe the algorithm used to compute these torsion subgroups and its implementation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-12T19:44:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex multiplication",
      "elliptic curves",
      "computation",
      "torsion subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6174C"
    }
  }
}