{
  "id": "1605.09205",
  "version": "v1",
  "published": "2016-05-17T07:36:51.000Z",
  "updated": "2016-05-17T07:36:51.000Z",
  "title": "On some remarkable congruences between two elliptic curves",
  "authors": [
    "Nicolas Billerey"
  ],
  "comment": "Very short. Not intended for publication",
  "categories": [
    "math.NT"
  ],
  "abstract": "We exhibit two non-isogenous rational elliptic curves with $17$-torsion subgroups isomorphic as Galois modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T07:36:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "congruences",
      "torsion subgroups isomorphic",
      "non-isogenous rational elliptic curves",
      "galois modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}