{
  "id": 3753,
  "curve_key": "284381238721:-123260117251164481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5924609140",
    "142661679026975"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 79.12074469431164,
  "faltings_height": 4.598736050398986,
  "conductor": "10405407855",
  "bad_primes": [
    "3",
    "5",
    "17",
    "19",
    "59",
    "89",
    "409"
  ],
  "discriminant": "4517140598198167496534000150625",
  "regulator": "1818.936752479595055864478866793368619204949847",
  "points": [
    [
      "4144430",
      "8433659285"
    ],
    [
      "-1364539/16",
      "339210503/64"
    ],
    [
      "24217369/64",
      "116748093719/512"
    ],
    [
      "200280145/2304",
      "1860576763745/110592"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (765,356) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.",
  "created_at": "2026-10-01 08:50:38",
  "updated_at": "2026-10-01 08:50:38"
}