{
  "id": 1287,
  "curve_key": "9002851681:-2936433933437329",
  "ainvs": [
    "1",
    "0",
    "0",
    "-187559410",
    "3398634755972"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 71.23194458446852,
  "faltings_height": 3.9909855389506754,
  "conductor": "108997034970",
  "bad_primes": [
    "2",
    "3",
    "5",
    "37",
    "997",
    "98491"
  ],
  "discriminant": "-4567680015838976628288000000",
  "regulator": "122.126829022395387514620922556011013213752771271",
  "points": [
    [
      "-19096",
      "-120322"
    ],
    [
      "34184",
      "-6094342"
    ],
    [
      "11684",
      "1668158"
    ],
    [
      "18644",
      "-2535682"
    ],
    [
      "-17098",
      "-1259182"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:26:00",
  "updated_at": "2026-09-24 17:26:00"
}