{
  "id": 1141,
  "curve_key": "485184:-335549952",
  "ainvs": [
    "0",
    "0",
    "0",
    "-10108",
    "388368"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 39.276850438247926,
  "faltings_height": 1.123668666407901,
  "conductor": "484160",
  "bad_primes": [
    "2",
    "5",
    "17",
    "89"
  ],
  "discriminant": "937643622400",
  "regulator": "10.882789524317104468696836573044075458473773",
  "points": [
    [
      "64",
      "60"
    ],
    [
      "46",
      "144"
    ],
    [
      "37",
      "255"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 484160v2, rank exactly 3 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.480000-489999 . Found by screening the local allgens tables for missing torsion size records; torsion and independence independently verified by the site.",
  "created_at": "2026-09-23 21:37:24",
  "updated_at": "2026-09-23 21:37:24"
}