{
  "id": 5274,
  "curve_key": "-54575413200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1136987775",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 74.16854793175801,
  "faltings_height": 4.248952739287992,
  "conductor": "183856526293255200",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "29",
    "31",
    "73"
  ],
  "discriminant": "-94069180237228752309831000000",
  "regulator": "10130.882539016821202309277985000407184414578294608",
  "points": [
    [
      "7975",
      "3094300"
    ],
    [
      "31465",
      "8180900"
    ],
    [
      "47740",
      "12770450"
    ],
    [
      "71775",
      "21245400"
    ],
    [
      "11935/9",
      "33179300/27"
    ],
    [
      "283185/16",
      "324246825/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (4,6,12,13), 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 11:46:29",
  "updated_at": "2026-10-21 11:46:29"
}