{
  "id": 76,
  "curve_key": "1139376:-829756440",
  "ainvs": [
    "0",
    "0",
    "1",
    "-23737",
    "960366"
  ],
  "rank_lower_bound": 8,
  "naive_height": 41.83797390626653,
  "faltings_height": 1.5176079485000202,
  "conductor": "457532830151317",
  "bad_primes": [
    "457532830151317"
  ],
  "discriminant": "457532830151317",
  "regulator": "10423.4798881981483561708641513672204334594588544763000",
  "points": [
    [
      "5",
      "917"
    ],
    [
      "-13",
      "1125"
    ],
    [
      "17",
      "749"
    ],
    [
      "-18",
      "1175"
    ],
    [
      "-29",
      "1274"
    ],
    [
      "33",
      "461"
    ],
    [
      "36",
      "390"
    ],
    [
      "38",
      "336"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Elkies-Watkins, \"Elliptic curves of large rank and small conductor\" (ANTS VI / arXiv:math/0403374), Table 4 low absolute-discriminant list for r=8: [0,0,1,-23737,960366], |Delta|=457532830151317; their I-column records 96 integral x-coordinates. The submitted integral points certify rank >= 8 here.",
  "created_at": "2026-06-01 15:47:39",
  "updated_at": "2026-07-01 22:54:25"
}