{
  "id": 5288,
  "curve_key": "197345851200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-4111371900",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 78.02467084885656,
  "faltings_height": 4.57029631571287,
  "conductor": "150252256889863200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "31",
    "43",
    "149"
  ],
  "discriminant": "4447748929597667678333376000000",
  "regulator": "3920.7978762314648947569130366211351966759336115217",
  "points": [
    [
      "-53475",
      "8181675"
    ],
    [
      "-43806",
      "9800028"
    ],
    [
      "-22350",
      "8984700"
    ],
    [
      "-8556",
      "5877972"
    ],
    [
      "64170",
      "641700"
    ],
    [
      "138570",
      "45728100"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (2,11,17,19), 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 12:14:45",
  "updated_at": "2026-10-21 12:14:45"
}