{
  "id": 5279,
  "curve_key": "-14815477220544:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "308655775428",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 90.98008052525806,
  "faltings_height": 5.649913788746328,
  "conductor": "527802701967091238688",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "19",
    "53",
    "79"
  ],
  "discriminant": "-1881928837176360061586174466636976128",
  "regulator": "117253.9236533776357007954809963315560358765515951535",
  "points": [
    [
      "136458",
      "211327956"
    ],
    [
      "212212",
      "273965692"
    ],
    [
      "491946",
      "520478868"
    ],
    [
      "742938",
      "799613556"
    ],
    [
      "1890196",
      "2708650868"
    ],
    [
      "3645378",
      "7040440044"
    ],
    [
      "16416114",
      "66550926156"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,2,10,16), reduced by rational fourth-power scaling. Reference: “High rank elliptic curves with torsion group Z/(2Z),” Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3.",
  "created_at": "2026-10-21 11:56:45",
  "updated_at": "2026-10-21 11:56:45"
}