{
  "id": 3438,
  "curve_key": "15558777:-76992150861",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-324141",
    "89192321"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 50.1339386334681,
  "faltings_height": 2.1846968667240882,
  "conductor": "3123097398",
  "bad_primes": [
    "2",
    "3",
    "53",
    "61",
    "67",
    "89"
  ],
  "discriminant": "-1250805511101031596",
  "regulator": "136.106723351762480281431683163649792271274581148",
  "points": [
    [
      "4844",
      "332485"
    ],
    [
      "-674",
      "1405"
    ],
    [
      "-668",
      "3037"
    ],
    [
      "14659/4",
      "1740065/8"
    ],
    [
      "-10976/25",
      "1541597/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:33:39",
  "updated_at": "2026-09-27 05:33:39"
}