{
  "id": 5306,
  "curve_key": "423186169776:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-8816378537",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 80.31323411052922,
  "faltings_height": 4.761009920852259,
  "conductor": "2487312976245576331808",
  "bad_primes": [
    "2",
    "19",
    "29",
    "37",
    "43",
    "89",
    "113"
  ],
  "discriminant": "43858185477146180025894483209792",
  "regulator": "243444.9407041256083788805319466785500944981967373493",
  "points": [
    [
      "-81700",
      "13227230"
    ],
    [
      "-43731",
      "17375784"
    ],
    [
      "-3268",
      "5364422"
    ],
    [
      "101232",
      "12038172"
    ],
    [
      "105203",
      "15389696"
    ],
    [
      "-2677309/121",
      "18066481132/1331"
    ],
    [
      "2303731/9",
      "3252868172/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (4,7,10,20), 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 12:50:16",
  "updated_at": "2026-10-21 12:50:16"
}