{
  "id": 5344,
  "curve_key": "-1585174800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "33024475",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 63.55188156631951,
  "faltings_height": 3.3642305421681162,
  "conductor": "1395988414752800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "29",
    "41",
    "101"
  ],
  "discriminant": "-2305089225164673739000000",
  "regulator": "6652.9109736420795773172939918061661159807134436055",
  "points": [
    [
      "5",
      "12850"
    ],
    [
      "2255",
      "293150"
    ],
    [
      "6380",
      "685850"
    ],
    [
      "9999",
      "1153218"
    ],
    [
      "25520",
      "4178900"
    ],
    [
      "7975/9",
      "4673350/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From the Aguirre–Castañeda–Peral parametrization at tuple (6,10,20,29), 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 14:43:52",
  "updated_at": "2026-10-21 14:43:52"
}