{
  "id": 3419,
  "curve_key": "233876736505:-112959280326263437",
  "ainvs": [
    "1",
    "0",
    "1",
    "-4872432011",
    "130739501749026"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6
  ],
  "naive_height": 78.53418013932284,
  "faltings_height": 4.327197634624962,
  "conductor": "29359769114",
  "bad_primes": [
    "2",
    "13",
    "17",
    "19",
    "73",
    "83",
    "577"
  ],
  "discriminant": "19020488780868211933853611652",
  "regulator": "1165.747443795281591934166695713458707894746986",
  "points": [
    [
      "-24967",
      "15401650"
    ],
    [
      "-29006",
      "15751889"
    ],
    [
      "457777/9",
      "102132310/27"
    ],
    [
      "171213",
      "65606420"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-26 23:38:32",
  "updated_at": "2026-09-26 23:38:32"
}