{
  "id": 3521,
  "curve_key": "226937818233117323536:-892833330138416913662104590784",
  "ainvs": [
    "0",
    "1",
    "0",
    "-4727871213189944240",
    "1033371908306469912341898900"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 140.6136231760815,
  "faltings_height": 9.781762793845546,
  "conductor": "36102502634605680",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "29",
    "41",
    "53",
    "71",
    "103",
    "211"
  ],
  "discriminant": "6302269551326414568420783143236765728568400905278159360000",
  "regulator": "15207.1376350615921740428179107171085974594983015",
  "points": [
    [
      "-2207677985",
      "26666743933830"
    ],
    [
      "130470940",
      "20463212606970"
    ],
    [
      "1140209898940/289",
      "1028135915432738970/4913"
    ],
    [
      "21900730418980/1849",
      "100782173742330366450/79507"
    ],
    [
      "154968841498420/755161",
      "5560341463857916307250/656234909"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Discriminant-directed search in the two-parameter Dujella-Peral\r\nZ/2Z x Z/4Z family. Parameters alpha=104/7, tau=-5/14.\r\nPARI/GP rank bounds [5,5]; five independent points supplied.",
  "created_at": "2026-09-27 16:05:02",
  "updated_at": "2026-09-27 16:05:02"
}