{
  "id": 81,
  "curve_key": "39677232:-250522113816",
  "ainvs": [
    "0",
    "0",
    "1",
    "-826609",
    "289956150"
  ],
  "rank_lower_bound": 9,
  "naive_height": 52.493626064563166,
  "faltings_height": 2.1805172142484204,
  "conductor": "172539371946838571",
  "bad_primes": [
    "69238607",
    "2491953253"
  ],
  "discriminant": "-172539371946838571",
  "regulator": "91567.683284080923712615686709609971136528575064325022194",
  "points": [
    [
      "17",
      "16610"
    ],
    [
      "-57",
      "18354"
    ],
    [
      "60",
      "15510"
    ],
    [
      "103",
      "14349"
    ],
    [
      "-143",
      "20130"
    ],
    [
      "-188",
      "20945"
    ],
    [
      "243",
      "10170"
    ],
    [
      "248",
      "10010"
    ],
    [
      "331",
      "7253"
    ]
  ],
  "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=9: [0,0,1,-826609,289956150], |Delta|=172539371946838571, I=120. The submitted integral points give the rank >= 9 witness checked by the site.",
  "created_at": "2026-06-02 18:44:33",
  "updated_at": "2026-07-01 22:52:28"
}