{
  "id": "math/9906215",
  "version": "v1",
  "published": "1999-06-19T00:00:00.000Z",
  "updated": "1999-06-19T00:00:00.000Z",
  "title": "On the Iwasawa invariants of elliptic curves",
  "authors": [
    "Ralph Greenberg",
    "Vinayak Vatsal"
  ],
  "comment": "Abstract added in migration (taken from Greenberg's web site)",
  "doi": "10.1007/s002220000080",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let p be an odd prime. Suppose that E is a modular elliptic curve/Q with good ordinary reduction at p. Let Q_{oo} denote the cyclotomic Z_p-extension of Q. It is conjectured that Sel_E(Q_{oo}) is a cotorsion Lambda-module and that its characteristic ideal is related to the p-adic L-function associated to E. Under certain hypotheses we prove that the validity of these conjectures is preserved by congruences between the Fourier expansions of the associated modular forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-06-19T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic curves",
      "iwasawa invariants",
      "modular elliptic curve/q",
      "odd prime",
      "ordinary reduction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}