{
  "id": 1563,
  "curve_key": "-3275366324613279:-200295955266862453646481",
  "ainvs": [
    "1",
    "-1",
    "1",
    "68236798429443",
    "231824005240409713989"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 107.30816600393443,
  "faltings_height": 7.059621978515629,
  "conductor": "9224961790",
  "bad_primes": [
    "2",
    "5",
    "11",
    "113",
    "742153"
  ],
  "discriminant": "-43551319485566172922414440588800000000000000",
  "regulator": "399.57341110639404800547891763940415088640742",
  "points": [
    [
      "267995653/49",
      "9508490974018/343"
    ],
    [
      "15949033823/2209",
      "3444400010946248/103823"
    ],
    [
      "320214305487/160801",
      "1249616758206714376/64481201"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:07:19",
  "updated_at": "2026-09-25 01:07:19"
}