{
  "id": 1169,
  "curve_key": "380368:-192168640",
  "ainvs": [
    "0",
    "1",
    "0",
    "-7924",
    "219776"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 38.546683452414165,
  "faltings_height": 1.2158270153841977,
  "conductor": "41496",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "19"
  ],
  "discriminant": "10476149209344",
  "regulator": "3.39723836545073581900781893152633885202454",
  "points": [
    [
      "74",
      "210"
    ],
    [
      "70",
      "114"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 41496bb2, rank exactly 2 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.40000-49999 . 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 21:38:12",
  "updated_at": "2026-09-23 21:38:12"
}