{
  "id": 5601,
  "curve_key": "11263412916787523474024401:-37800487134210617285437048003500159001",
  "ainvs": [
    "1",
    "0",
    "0",
    "-234654435766406739042175",
    "43750563812724215469979012405427225"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 173.0508057288026,
  "faltings_height": 12.064801501134676,
  "conductor": "7463552732895129427410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "41",
    "53",
    "79",
    "149",
    "293",
    "941",
    "12889"
  ],
  "discriminant": "28986406871769215019010844249857250251694823189712718836964456198400",
  "regulator": "2975844.052471699887326847642169263644893865496069335",
  "points": [
    [
      "-529010976850",
      "140855621487404885"
    ],
    [
      "-268948535290",
      "295646192435070845"
    ],
    [
      "379461576710",
      "96681282098699645"
    ],
    [
      "386934912062",
      "104335484977650077"
    ],
    [
      "1135961991950",
      "1114920216986994485"
    ],
    [
      "614760970959818/2209",
      "94053658553152591771/103823"
    ],
    [
      "12453491789919893/35344",
      "461056725827104124985697/6644672"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (87453,1833008) 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 21:57:45",
  "updated_at": "2026-10-23 21:57:45"
}