{
  "id": "1402.6232",
  "version": "v3",
  "published": "2014-02-25T16:36:30.000Z",
  "updated": "2014-10-14T08:27:56.000Z",
  "title": "Base change for Elliptic Curves over Real Quadratic Fields",
  "authors": [
    "Luis Dieulefait",
    "Nuno Freitas"
  ],
  "comment": "added a short proof of Proposition 2.1 and a few more small changes to improve readability",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-10T11:18:10.000Z",
      "comment": "5 pages; improved introduction",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-14T08:27:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "11G05"
    ],
    "keywords": [
      "real quadratic field",
      "elliptic curve",
      "base change",
      "totally real finite galois extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.6232D"
    }
  }
}