{
  "id": "1511.01126",
  "version": "v1",
  "published": "2015-11-03T21:36:32.000Z",
  "updated": "2015-11-03T21:36:32.000Z",
  "title": "Torsion of rational elliptic curves over quartic Galois number fields",
  "authors": [
    "Michael Chou"
  ],
  "comment": "To appear in the Journal of Number Theory",
  "doi": "10.1016/j.jnt.2015.09.013",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $E$ be an elliptic curve defined over $\\mathbb{Q}$, and let $K$ be a number field of degree four that is Galois over $\\mathbb{Q}$. The goal of this article is to classify the different isomorphism types of $E(K)_{\\text{tors}}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-03T21:36:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05"
    ],
    "keywords": [
      "quartic galois number fields",
      "rational elliptic curves",
      "isomorphism types"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151101126C"
    }
  }
}