{
  "id": 5285,
  "curve_key": "-196683984:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "4097583",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 57.29132656967001,
  "faltings_height": 2.842517625780658,
  "conductor": "59698440682272",
  "bad_primes": [
    "2",
    "3",
    "7",
    "193",
    "337"
  ],
  "discriminant": "-4403147681991350674368",
  "regulator": "6965.2419959992827667705990236622376815544796609135",
  "points": [
    [
      "252",
      "32382"
    ],
    [
      "841",
      "63568"
    ],
    [
      "1737",
      "111168"
    ],
    [
      "5404",
      "424214"
    ],
    [
      "193/4",
      "112519/8"
    ],
    [
      "12159/25",
      "5739048/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (5,6,17,18), 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 12:10:11",
  "updated_at": "2026-10-21 12:10:11"
}