{
  "id": "2203.10672",
  "version": "v1",
  "published": "2022-03-20T23:04:53.000Z",
  "updated": "2022-03-20T23:04:53.000Z",
  "title": "Isogenies over quadratic fields of elliptic curves with rational $j$-invariant",
  "authors": [
    "Borna Vukorepa"
  ],
  "comment": "All comments are welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We determine the possible degrees of cyclic isogenies defined over quadratic fields for non-CM elliptic curves with rational $j$-invariant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-20T23:04:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H52"
    ],
    "keywords": [
      "quadratic fields",
      "non-cm elliptic curves",
      "cyclic isogenies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}