{
  "id": 4054,
  "curve_key": "5828775494357617:-445119348972183608104201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-121432822799117",
    "515184421561366165009"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 108.90525879803903,
  "faltings_height": 6.801179111565332,
  "conductor": "192512138106375249526",
  "bad_primes": [
    "2",
    "7",
    "13",
    "19",
    "31",
    "43",
    "59",
    "102013",
    "6938977"
  ],
  "discriminant": "-58321994207022468188844565065979892432896",
  "regulator": "71324.7829164536565888566116441737590872890134681952336",
  "points": [
    [
      "6432898",
      "473008895"
    ],
    [
      "-12573446",
      "-7359716649"
    ],
    [
      "-7348086",
      "31795622735"
    ],
    [
      "6675074",
      "1421458175"
    ],
    [
      "7805458",
      "6545488847"
    ],
    [
      "7181614",
      "3670191851"
    ],
    [
      "161271082",
      "-2043442632633"
    ],
    [
      "3662494",
      "-10936438245"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-07 22:25:14",
  "updated_at": "2026-10-07 22:25:14"
}