{
  "id": 3806,
  "curve_key": "96658838163470633488:-559263657277245104696112333760",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2013725795072304864",
    "647295898955199161707509876"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 138.05315796122997,
  "faltings_height": 9.547266016372209,
  "conductor": "493791717782899536",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "37",
    "47",
    "59",
    "97",
    "139"
  ],
  "discriminant": "341609384651553965423706917586466482403218680003404775424",
  "regulator": "3717.5748624021857273675389918769930274947213676994",
  "points": [
    [
      "-1555220965",
      "4177616086644"
    ],
    [
      "-973237590",
      "41052250337856"
    ],
    [
      "-42626310",
      "27075009637104"
    ],
    [
      "1996312650",
      "67698618551424"
    ],
    [
      "-15446707039/16",
      "2632245940306983/64"
    ],
    [
      "15666687994/9",
      "1327316541072704/27"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (52687,29601) 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 11:15:54",
  "updated_at": "2026-10-02 11:15:54"
}