{
  "id": 3752,
  "curve_key": "191333914993:-48881624364656425",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3986123229",
    "56575621948824"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 77.93185795387905,
  "faltings_height": 4.537624992518015,
  "conductor": "7827180207",
  "bad_primes": [
    "3",
    "7",
    "11",
    "19",
    "37",
    "157",
    "307"
  ],
  "discriminant": "2670756009454461650004352469169",
  "regulator": "1381.011461728219792345481221782675434072182947",
  "points": [
    [
      "-51711",
      "11180499"
    ],
    [
      "6600",
      "5524332"
    ],
    [
      "10343619",
      "33260837049"
    ],
    [
      "8507532/841",
      "101281325706/24389"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (703,396) 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 08:21:13",
  "updated_at": "2026-10-01 08:21:13"
}