{
  "id": 3774,
  "curve_key": "8470293492510928:-765473093298075241453760",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-176464447760644",
    "885964287175736338564"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 110.02602466140618,
  "faltings_height": 7.060313237330176,
  "conductor": "560334579081816",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "29",
    "41",
    "59",
    "71",
    "3581"
  ],
  "discriminant": "12592323423666696033407474749863936876259584",
  "regulator": "1165.32494482326953110040806277347878946306905574",
  "points": [
    [
      "6070225",
      "6201512892"
    ],
    [
      "11838478",
      "21355354440"
    ],
    [
      "565795378",
      "13454588596680"
    ],
    [
      "2282446/9",
      "783106275952/27"
    ],
    [
      "205079554/169",
      "57021087067560/2197"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (4879,1298) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-01 19:46:41",
  "updated_at": "2026-10-01 19:46:41"
}