{
  "id": 5571,
  "curve_key": "1868495971788065102445313:-2502784455846635770565056683011662465",
  "ainvs": [
    "1",
    "0",
    "0",
    "-38926999412251356300944",
    "2896741268337769706721498362682864"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 167.66152813783455,
  "faltings_height": 11.868124344845283,
  "conductor": "42251843091178784598738",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "47",
    "61",
    "223",
    "263",
    "271",
    "823",
    "865321"
  ],
  "discriminant": "150177862148777673133007722448497332252475108204021368305794185022224",
  "regulator": "3800545.321638114221270356940671742495347982028247999",
  "points": [
    [
      "-90213689810",
      "75327891998346382"
    ],
    [
      "-6902806938",
      "56259384179226294"
    ],
    [
      "129115667010",
      "4808718847216602"
    ],
    [
      "896592416014",
      "829906758300427972"
    ],
    [
      "2369859756906",
      "3635976696938916882"
    ],
    [
      "7165911644854/81",
      "8788856879370250756/729"
    ],
    [
      "113002941141737704/635209",
      "20261900168466236935861196/506261573"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (324911,1190232) 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 13:27:31",
  "updated_at": "2026-10-23 13:27:31"
}