{
  "id": 3807,
  "curve_key": "100881671111986412176:-366951175014203233512300511424",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2101701481499716920",
    "424712008818857940028031232"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 138.18143979227133,
  "faltings_height": 9.574866498546582,
  "conductor": "2100709764345912720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "37",
    "47",
    "79",
    "97",
    "131",
    "5009"
  ],
  "discriminant": "516221560799714061757517055378297827251018033415813760000",
  "regulator": "16454.492074831547238302139931805168490389950524176",
  "points": [
    [
      "-694802356",
      "39364490265100"
    ],
    [
      "-29299562",
      "22051435079190"
    ],
    [
      "70336327814",
      "18649943970327670"
    ],
    [
      "-404416292066/441",
      "368217480259567070/9261"
    ],
    [
      "2163337881093/1444",
      "1386650938559799627/54872"
    ],
    [
      "28344750383104/16641",
      "90736763994330454000/2146689"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (53641,33605) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 6.",
  "created_at": "2026-10-02 11:16:06",
  "updated_at": "2026-10-02 11:16:06"
}