{
  "id": 1590,
  "curve_key": "67306057:-552180474181",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1402210",
    "638980920"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "naive_height": 54.074282371695595,
  "faltings_height": 2.0539585469417,
  "conductor": "11281858",
  "bad_primes": [
    "2",
    "7",
    "19",
    "73",
    "83"
  ],
  "discriminant": "144715980196844",
  "regulator": "17.52098565132778778548726755250636687102104120",
  "points": [
    [
      "55309/81",
      "-271333/729"
    ],
    [
      "109",
      "-22133"
    ],
    [
      "684",
      "-352"
    ],
    [
      "6973/16",
      "-687357/64"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:23:30",
  "updated_at": "2026-09-25 01:23:30"
}