{
  "id": 5255,
  "curve_key": "-49104:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1023",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 32.40508733057855,
  "faltings_height": 0.7686643558563697,
  "conductor": "33488928",
  "bad_primes": [
    "2",
    "3",
    "11",
    "31"
  ],
  "discriminant": "-68518346688",
  "regulator": "15.635159860139462234694386656082500311971436",
  "points": [
    [
      "1",
      "32"
    ],
    [
      "31",
      "248"
    ],
    [
      "124",
      "1426"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,3,4,6), 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 11:18:39",
  "updated_at": "2026-10-21 11:18:39"
}