{
  "id": 57,
  "curve_key": "66576:-58791960",
  "ainvs": [
    "0",
    "0",
    "1",
    "-1387",
    "68046"
  ],
  "rank_lower_bound": 7,
  "naive_height": 35.77903133765187,
  "faltings_height": 1.0365403415969128,
  "conductor": "1829517077483",
  "bad_primes": [
    "3527",
    "518717629"
  ],
  "discriminant": "-1829517077483",
  "regulator": "1306.442211994994493978784223406033003476005702575198",
  "points": [
    [
      "-49",
      "135"
    ],
    [
      "-47",
      "171"
    ],
    [
      "-44",
      "209"
    ],
    [
      "-43",
      "219"
    ],
    [
      "-42",
      "228"
    ],
    [
      "-34",
      "275"
    ],
    [
      "-30",
      "287"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Elkies-Watkins, \"Elliptic curves of large rank and small conductor\" (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=7: [0,0,1,-1387,68046], |Delta|=1829517077483; their I-column records 71 integral x-coordinates. The submitted points certify rank >= 7 here.",
  "created_at": "2026-05-29 00:04:00",
  "updated_at": "2026-07-01 22:56:22"
}