{
  "id": 1342,
  "curve_key": "1967485251005881:-87270392977804296314029",
  "ainvs": [
    "1",
    "0",
    "1",
    "-40989276062623",
    "101007395864093078478"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 105.64659779963964,
  "faltings_height": 6.363668057185439,
  "conductor": "47477497918811090",
  "bad_primes": [
    "2",
    "5",
    "13",
    "31",
    "47",
    "73",
    "103",
    "1609",
    "20719"
  ],
  "discriminant": "6018576964217684339140689921991812500",
  "regulator": "6945.002748432687884700988069986636612214611144201344",
  "points": [
    [
      "7489259",
      "-14635667130"
    ],
    [
      "3680909",
      "48907320"
    ],
    [
      "3701059",
      "-15109230"
    ],
    [
      "-5586076",
      "-12473878410"
    ],
    [
      "71055069/16",
      "-164068415245/64"
    ],
    [
      "723712039/196",
      "22958079255/2744"
    ],
    [
      "30978331/9",
      "-22648180010/27"
    ]
  ],
  "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 17:35:25",
  "updated_at": "2026-09-24 17:35:25"
}