{
  "id": "1605.01260",
  "version": "v1",
  "published": "2016-05-04T13:06:37.000Z",
  "updated": "2016-05-04T13:06:37.000Z",
  "title": "Eta-quotients and Embeddings of $X_0(N)$ in the Projective Plane",
  "authors": [
    "Iva Kodrnja"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we find projective plane models of $X_0(N)$ by constructing maps from $X_0(N)$ to the projective plane using modular forms. We use eta-quotients of weight 12. We find those eta-quotients of weight 12 which have maximal order of zero at the cusp $\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-04T13:06:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eta-quotients",
      "embeddings",
      "projective plane models",
      "modular forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}