{
  "id": 5507,
  "curve_key": "1108758832813633:17052358241828455315615",
  "ainvs": [
    "1",
    "1",
    "1",
    "-23099142350284",
    "-19736535367499654419"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 103.92605284794482,
  "faltings_height": 6.714303601723575,
  "conductor": "4324203609726",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "61",
    "101",
    "137",
    "853"
  ],
  "discriminant": "620524004664926027578658668402978055061504",
  "regulator": "1069.97270664765900355925791577794282908037187941",
  "points": [
    [
      "-4058113",
      "2680138347"
    ],
    [
      "-3487763",
      "4291377097"
    ],
    [
      "9771197",
      "26214858105"
    ],
    [
      "31753157",
      "176795680497"
    ],
    [
      "-43490907/49",
      "88504728535/343"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (6161,4928) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-22 20:04:22",
  "updated_at": "2026-10-22 20:04:22"
}