{
  "id": 3798,
  "curve_key": "10623854758771346593:-14965392368358277622867628145",
  "ainvs": [
    "1",
    "0",
    "0",
    "-221330307474403054",
    "17321055963451962366563204"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 131.4289007864522,
  "faltings_height": 9.008189453287713,
  "conductor": "663584074815319098",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "23",
    "31",
    "37",
    "41",
    "59",
    "107",
    "131",
    "1039"
  ],
  "discriminant": "564300985356989762943936462226189150340638691965350144",
  "regulator": "604646.63639840826828202915990364102775926945833752",
  "points": [
    [
      "3385982108",
      "195159167997746"
    ],
    [
      "-23126102641828/96721",
      "226250384352335403934/30080231"
    ],
    [
      "-18405250534756/36481",
      "5253236341255657294/6967871"
    ],
    [
      "1003281051914/625",
      "962984571544945238/15625"
    ],
    [
      "19579681357340/2209",
      "86516495860134330094/103823"
    ],
    [
      "269451583227944/235225",
      "4060591523679148588858/114084125"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (61008,37111) 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 05:30:11",
  "updated_at": "2026-10-02 05:30:11"
}