{
  "id": 5522,
  "curve_key": "7083792788180951233:16084200917730967168527683135",
  "ainvs": [
    "1",
    "0",
    "0",
    "-147579016420436484",
    "-18615973296709092998610081"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 130.21302342811597,
  "faltings_height": 8.844261300483275,
  "conductor": "121253315032116033",
  "bad_primes": [
    "3",
    "13",
    "17",
    "71",
    "79",
    "107",
    "421",
    "503",
    "1439"
  ],
  "discriminant": "55997716948835308489996889035773124392294879041258529",
  "regulator": "955759.02068611229387238270568201315005914106472522",
  "points": [
    [
      "-166420155",
      "1155519118248"
    ],
    [
      "77926316037",
      "21753049816739859"
    ],
    [
      "-17087324490620032059/70760788081",
      "32277442755180394890878501208/18823006476638729"
    ],
    [
      "-7810298229/49",
      "317666427464121/343"
    ],
    [
      "-5531215625/36",
      "141942026433067/216"
    ],
    [
      "5246405712546/25",
      "12016876730347799679/125"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (48348,53821) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 6.",
  "created_at": "2026-10-22 21:25:26",
  "updated_at": "2026-10-22 21:25:26"
}