{
  "id": 1159,
  "curve_key": "-545087:-344361601",
  "ainvs": [
    "1",
    "0",
    "0",
    "11356",
    "399513"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 39.62610208179873,
  "faltings_height": 1.4136468300270137,
  "conductor": "486291",
  "bad_primes": [
    "3",
    "13",
    "37",
    "337"
  ],
  "discriminant": "-162350158069593",
  "regulator": "19.454061799222117132136301154622099065375743",
  "points": [
    [
      "-29",
      "229"
    ],
    [
      "-3",
      "606"
    ],
    [
      "231",
      "3804"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 486291b3, 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 21:37:55",
  "updated_at": "2026-09-23 21:37:55"
}