{
  "id": 3802,
  "curve_key": "291115634401410574288:-3602104712344515764511730646720",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-6064909050029386964",
    "4169102678346307373750224644"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 141.36075669363342,
  "faltings_height": 9.804271458474751,
  "conductor": "4857168842595394248",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "31",
    "37",
    "41",
    "43",
    "59",
    "103",
    "11257"
  ],
  "discriminant": "6768750246670703211235241542073735193029448774908991777024",
  "regulator": "144489.63085585140034225241045445463008852332880889",
  "points": [
    [
      "92093009",
      "60094492315704"
    ],
    [
      "5216368550",
      "338337557307288"
    ],
    [
      "-99681233636/121",
      "123477448565625574/1331"
    ],
    [
      "17177099524/25",
      "2258188054009118/125"
    ],
    [
      "2900479922764/11449",
      "63049659147518173130/1225043"
    ],
    [
      "107981233751457913485020/246247306368361",
      "154273005036578274470205636580873578/3864178972057733901109"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (68894,35123) 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 08:48:33",
  "updated_at": "2026-10-02 08:48:33"
}