{
  "id": 5329,
  "curve_key": "-333744:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "6953",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 38.15438853302073,
  "faltings_height": 1.2477727893932176,
  "conductor": "3094029376",
  "bad_primes": [
    "2",
    "17",
    "409"
  ],
  "discriminant": "-21512786251328",
  "regulator": "492.6757995507565125085453108434213835246015995",
  "points": [
    [
      "272",
      "4692"
    ],
    [
      "1636",
      "66258"
    ],
    [
      "153/4",
      "4539/8"
    ],
    [
      "409/1600",
      "2698173/64000"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (3,8,13,24), 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 13:19:31",
  "updated_at": "2026-10-21 13:19:31"
}