{
  "id": 3580,
  "curve_key": "347729618161168:-6484029473327403838400",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-7244367045024",
    "7504666157066102784"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 100.44733900322015,
  "faltings_height": 6.038656573352918,
  "conductor": "212869875504",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "113",
    "127",
    "2161"
  ],
  "discriminant": "1965929191474632918294232537907871744",
  "regulator": "3815.367706124317997014906808707886899821935761",
  "points": [
    [
      "1568240",
      "25503632"
    ],
    [
      "5455461/4",
      "3212857557/8"
    ],
    [
      "479596720/289",
      "1128968830704/4913"
    ],
    [
      "17316494265/17161",
      "2485220942837988/2248091"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "Inspired by (much better) curve#3566\r\nSpecialized curve of the C2 x C4 family y^2 = x(x+u^2)(x+v^2), where u±v=d*w^2. Here (u,v)=(1016,17288), with v-u=16272=113*12^2. PARI/GP gives exact rank 4 and torsion C2 x C4.",
  "created_at": "2026-09-28 20:32:12",
  "updated_at": "2026-09-28 20:32:12"
}