{
  "id": 1117,
  "curve_key": "10085851802931649974805858904161:-32030879745337453726217640757700650938014331409",
  "ainvs": [
    "1",
    "0",
    "0",
    "-210121912561076041141788727170",
    "37072777483029442821111037453964917510678212"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    9
  ],
  "naive_height": 214.16605926007165,
  "faltings_height": 15.32428776942096,
  "conductor": "16352763705110910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "23",
    "251",
    "397",
    "181693"
  ],
  "discriminant": "18723779385585072341119150734403951295782226171126711068461743451670315008000000000",
  "regulator": "11458.27112565036561718439385340411247302079975",
  "points": [
    [
      "264624185910084",
      "161163173132978478"
    ],
    [
      "278107166057028",
      "382329690016779874446"
    ],
    [
      "256715819708964",
      "222495334012116159918"
    ],
    [
      "165670235424549856/729",
      "20245451211609092105369194/19683"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "found by Fisher (2009)",
  "created_at": "2026-09-23 20:55:17",
  "updated_at": "2026-09-23 20:55:17"
}