{
  "id": 3784,
  "curve_key": "3099185292441793:-35633995180165411910945",
  "ainvs": [
    "1",
    "1",
    "1",
    "-64566360259204",
    "41243023074393192821"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 107.0097469889152,
  "faltings_height": 6.983075712613844,
  "conductor": "381938061851346",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "29",
    "31",
    "47",
    "113",
    "701"
  ],
  "discriminant": "16491745683400607498201812815489584137660944",
  "regulator": "1417.05343716620610513823448816775437751661026018",
  "points": [
    [
      "-5749723",
      "14915951325"
    ],
    [
      "449327",
      "3510093147"
    ],
    [
      "592967",
      "1778971797"
    ],
    [
      "55169707",
      "405433865397"
    ],
    [
      "-10334371/25",
      "1029759532857/125"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (8008,5311) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-01 20:39:20",
  "updated_at": "2026-10-01 20:39:20"
}