{
  "id": 1170,
  "curve_key": "7308913:-19759638185",
  "ainvs": [
    "1",
    "1",
    "1",
    "-152269",
    "22806506"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 47.413815360775686,
  "faltings_height": 1.501691940046101,
  "conductor": "35139",
  "bad_primes": [
    "3",
    "13",
    "17",
    "53"
  ],
  "discriminant": "208672635249",
  "regulator": "10.4683788541542612415751397791988801124289",
  "points": [
    [
      "56",
      "3774"
    ],
    [
      "-400",
      "4662"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 35139c2, rank exactly 2 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.30000-39999 . 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 21:38:14",
  "updated_at": "2026-09-23 21:38:14"
}