{
  "id": 3745,
  "curve_key": "628697488:-12689728972480",
  "ainvs": [
    "0",
    "1",
    "0",
    "-13097864",
    "14682820356"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4,
    2
  ],
  "naive_height": 60.77748227339683,
  "faltings_height": 3.0721630445103765,
  "conductor": "34752432",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "61",
    "83"
  ],
  "discriminant": "50619260308295943373824",
  "regulator": "41.864055198082930839677415799931235191806344",
  "points": [
    [
      "-3920",
      "76194"
    ],
    [
      "-3422",
      "139440"
    ],
    [
      "-2930",
      "167076"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (83,39) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.",
  "created_at": "2026-10-01 06:30:55",
  "updated_at": "2026-10-01 06:30:55"
}