{
  "id": 3776,
  "curve_key": "23290196274149008:-3183167855948020219517120",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-485212422378104",
    "3684222217232867898624"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 113.06042671851466,
  "faltings_height": 7.397706030882943,
  "conductor": "163259706516816",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "17",
    "19",
    "29",
    "53",
    "79",
    "953"
  ],
  "discriminant": "1447233266225010531397101310736385087528059904",
  "regulator": "920.668900374163353098215477523788076407193714714",
  "points": [
    [
      "-18091191",
      "80877716556"
    ],
    [
      "4230654",
      "41318015466"
    ],
    [
      "6919340",
      "25654464108"
    ],
    [
      "21622504",
      "57462521984"
    ],
    [
      "7267789/4",
      "423970951495/8"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (6409,2597) 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 19:47:06",
  "updated_at": "2026-10-01 19:47:06"
}