{
  "id": 1804,
  "curve_key": "3577469639426725389732539200:-211840490607350051176841385870154194880000",
  "ainvs": [
    "0",
    "1",
    "0",
    "-74530617488056778952761233",
    "245185753017741419396996325830805323663"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 190.33335977015486,
  "faltings_height": 13.726194398093966,
  "conductor": "2844169076472523644089985600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "23",
    "29",
    "43",
    "53",
    "59",
    "67",
    "79",
    "167",
    "181",
    "251",
    "1237"
  ],
  "discriminant": "526097771148505346288857643147894229392933850856736037828276515922852096000000",
  "regulator": "985047.2271552602686278666491316484650900871117919551",
  "points": [
    [
      "-2917266958717",
      "20923293632348746800"
    ],
    [
      "22726622167733",
      "101437873912668087900"
    ],
    [
      "3204220228483",
      "6266662372787115600"
    ],
    [
      "8818701660773/4",
      "76560444874866865689/8"
    ],
    [
      "-7516642360597",
      "19511948002341765600"
    ],
    [
      "13189002527954",
      "39451558144614437619"
    ],
    [
      "-9559476965653",
      "9169517776895092512"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Rank-7 specialization (w2,w3)=(-76/3,26) of the Dujella-Peral family of curves with torsion Z/2Z x Z/2Z induced by rational Diophantine triples (Glas. Mat. 55 (2020), sec 3).",
  "created_at": "2026-09-25 15:05:29",
  "updated_at": "2026-09-25 15:05:29"
}