{
  "id": 3447,
  "curve_key": "39803932202219147617:-295282220353951181929271744401",
  "ainvs": [
    "1",
    "0",
    "0",
    "-829248587546232242",
    "341761829044265374567063684"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    3
  ],
  "naive_height": 135.71545817803826,
  "faltings_height": 9.301819178272138,
  "conductor": "762619546977047970820027222",
  "bad_primes": [
    "2",
    "7",
    "23",
    "43",
    "89",
    "311",
    "2383",
    "22639",
    "74821",
    "492979"
  ],
  "discriminant": "-13963026339178552572139643957882399364443836924337629696",
  "regulator": "13899215.606402574980722878068523895714005336538444126405",
  "points": [
    [
      "-189916826",
      "-22189995004600"
    ],
    [
      "832446100",
      "-15110490503778"
    ],
    [
      "-195069021338/361",
      "172444749469472198/6859"
    ],
    [
      "133172679624/25",
      "47938500341854022/125"
    ],
    [
      "5694975884",
      "424641641525726"
    ],
    [
      "504268770228/121",
      "350300094688740170/1331"
    ],
    [
      "15040050644",
      "-1841196335033074"
    ],
    [
      "2200557492",
      "95774937817822"
    ],
    [
      "5965919830",
      "455776283293592"
    ]
  ],
  "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 05:35:11",
  "updated_at": "2026-09-27 05:35:11"
}