{
  "id": 5304,
  "curve_key": "-7552311744:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "157339828",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 68.23535863379594,
  "faltings_height": 3.754520297791152,
  "conductor": "49511642950139168",
  "bad_primes": [
    "2",
    "17",
    "53",
    "149",
    "293"
  ],
  "discriminant": "-249284908344713896613859328",
  "regulator": "21165.341449033988405894256017221665341797508008557",
  "points": [
    [
      "293",
      "214769"
    ],
    [
      "2384",
      "623416"
    ],
    [
      "7301",
      "1240127"
    ],
    [
      "22797",
      "3928683"
    ],
    [
      "134249/16",
      "88470091/64"
    ],
    [
      "536996/121",
      "1179780212/1331"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (1,8,11,20), 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 12:47:43",
  "updated_at": "2026-10-21 12:47:43"
}