{
  "id": 5342,
  "curve_key": "-14289137721504:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "297690369198",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 90.87156229397222,
  "faltings_height": 5.640870602805842,
  "conductor": "5671651578447459018445056",
  "bad_primes": [
    "2",
    "3",
    "37",
    "101",
    "113",
    "293",
    "401"
  ],
  "discriminant": "-1688396052350443534845883412517785088",
  "regulator": "59604803.7006291734599379247628813649583853840198666433",
  "points": [
    [
      "888",
      "16258836"
    ],
    [
      "273912",
      "319518348"
    ],
    [
      "45313/36",
      "4181166449/216"
    ],
    [
      "1062418/121",
      "68056827566/1331"
    ],
    [
      "1263106/9",
      "5698454138/27"
    ],
    [
      "11469778/81",
      "154632056194/729"
    ],
    [
      "214365778/3249",
      "26143411333886/185193"
    ],
    [
      "32930350575/259081",
      "26338557165070065/131872229"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From the Aguirre–Castañeda–Peral parametrization at tuple (6,11,24,28), 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 14:30:00",
  "updated_at": "2026-10-21 14:30:00"
}