{
  "id": 5561,
  "curve_key": "930840155665277239895521:-896741389246488774280009905631139569",
  "ainvs": [
    "1",
    "0",
    "0",
    "-19392503243026609164490",
    "1037895126441079298664944432605667"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 165.57112357319008,
  "faltings_height": 11.585674317632463,
  "conductor": "2234537902161497627835",
  "bad_primes": [
    "3",
    "5",
    "7",
    "43",
    "61",
    "109",
    "113",
    "241",
    "1097",
    "1259",
    "1979"
  ],
  "discriminant": "1385302467423396321208134040142951812985763733732640726003000390625",
  "regulator": "1337719.538311317039914221618833478891998368123536898",
  "points": [
    [
      "-132020217826",
      "36014960716370813"
    ],
    [
      "41909782349",
      "17284976277474713"
    ],
    [
      "63264893399",
      "8015256395455613"
    ],
    [
      "85810476554",
      "2382245006347643"
    ],
    [
      "313411708589",
      "160453942093537433"
    ],
    [
      "-610926779840509/3844",
      "2448836480138553567409/238328"
    ],
    [
      "-7841081198299/49",
      "2260413048502642559/343"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (142267,987300) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 7.",
  "created_at": "2026-10-23 06:11:44",
  "updated_at": "2026-10-23 06:11:44"
}