{
  "id": 1335,
  "curve_key": "38885151076681:-240340244461025556421",
  "ainvs": [
    "1",
    "0",
    "1",
    "-810107314098",
    "278171511728355256"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 93.87490071985611,
  "faltings_height": 5.682675193193416,
  "conductor": "10190734612809870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "29",
    "31",
    "2659",
    "5503"
  ],
  "discriminant": "597831598737219445255023033023437500",
  "regulator": "2235.684748400992552047742497887137251355137612970086",
  "points": [
    [
      "-720205",
      "698964477"
    ],
    [
      "307445",
      "-241335273"
    ],
    [
      "1506455/4",
      "-1303618059/8"
    ],
    [
      "1064795",
      "-789725523"
    ],
    [
      "-1000705",
      "295006227"
    ],
    [
      "24733895",
      "-122941559523"
    ],
    [
      "3023045",
      "-5046924273"
    ]
  ],
  "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 17:34:11",
  "updated_at": "2026-09-24 17:34:11"
}