{
  "id": 3743,
  "curve_key": "1020639376:-31934221970624",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-21263320",
    "36967992832"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4,
    2
  ],
  "naive_height": 62.23108532122991,
  "faltings_height": 3.083460500901206,
  "conductor": "6966960",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "29"
  ],
  "discriminant": "25121723782755600000000",
  "regulator": "5.9962109091331935451048670262682053798481000",
  "points": [
    [
      "-5156",
      "97500"
    ],
    [
      "-4906",
      "152250"
    ],
    [
      "-18779/9",
      "7257250/27"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (91,25) 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 06:29:27",
  "updated_at": "2026-10-01 06:29:27"
}