{
  "id": 5258,
  "curve_key": "-69264:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1443",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 33.43704170904529,
  "faltings_height": 0.8546605540619309,
  "conductor": "66631968",
  "bad_primes": [
    "2",
    "3",
    "13",
    "37"
  ],
  "discriminant": "-192299859648",
  "regulator": "23.704859684210369169724460482041654503093151",
  "points": [
    [
      "1",
      "38"
    ],
    [
      "3",
      "66"
    ],
    [
      "12",
      "138"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,2,8,9), 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 11:23:30",
  "updated_at": "2026-10-21 11:23:30"
}