{
  "id": 5298,
  "curve_key": "-72384:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1508",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 33.569221678427375,
  "faltings_height": 0.8656755515104385,
  "conductor": "4548128",
  "bad_primes": [
    "2",
    "13",
    "29"
  ],
  "discriminant": "-219474464768",
  "regulator": "26.467024530623430965982033803920924479182398",
  "points": [
    [
      "16",
      "168"
    ],
    [
      "29",
      "261"
    ],
    [
      "261",
      "4263"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (2,6,13,21), 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 12:37:59",
  "updated_at": "2026-10-21 12:37:59"
}