{
  "id": 82,
  "curve_key": "85863216:-728508095640",
  "ainvs": [
    "0",
    "0",
    "1",
    "-1788817",
    "843180666"
  ],
  "rank_lower_bound": 10,
  "naive_height": 54.8047982291504,
  "faltings_height": 2.5323775332354264,
  "conductor": "59202439687694448757",
  "bad_primes": [
    "59202439687694448757"
  ],
  "discriminant": "59202439687694448757",
  "regulator": "774709.5755443039950812393750908533891851784680859970994988",
  "points": [
    [
      "-32",
      "30006"
    ],
    [
      "38",
      "27843"
    ],
    [
      "-84",
      "31509"
    ],
    [
      "-87",
      "31593"
    ],
    [
      "105",
      "25622"
    ],
    [
      "214",
      "21683"
    ],
    [
      "-234",
      "35340"
    ],
    [
      "-291",
      "36593"
    ],
    [
      "313",
      "17718"
    ],
    [
      "355",
      "15902"
    ]
  ],
  "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=10: [0,0,1,-1788817,843180666], |Delta|=59202439687694448757, I=176. The submitted integral points give the rank >= 10 witness checked by the site.",
  "created_at": "2026-06-02 18:44:34",
  "updated_at": "2026-07-01 22:50:30"
}