{
  "id": 1176,
  "curve_key": "7873945:-22094723197",
  "ainvs": [
    "1",
    "0",
    "1",
    "-164041",
    "25558926"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 47.63720929634236,
  "faltings_height": 1.3841226266424311,
  "conductor": "18746",
  "bad_primes": [
    "2",
    "7",
    "13",
    "103"
  ],
  "discriminant": "326311622",
  "regulator": "22.5355209728951259200478688207043034138741",
  "points": [
    [
      "-410",
      "5097"
    ],
    [
      "3909/16",
      "10181/64"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 18746i2, rank exactly 2 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.10000-19999 . 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 21:38:24",
  "updated_at": "2026-09-23 21:38:24"
}