{
  "id": 5331,
  "curve_key": "-490598064:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "10220793",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 60.033407230777605,
  "faltings_height": 3.0710243475396246,
  "conductor": "6685735011126336",
  "bad_primes": [
    "2",
    "3",
    "11",
    "31",
    "97",
    "103"
  ],
  "discriminant": "-68333513601574977104448",
  "regulator": "20657.503216085455173532662423395105561839106527448",
  "points": [
    [
      "132",
      "36762"
    ],
    [
      "2112",
      "176088"
    ],
    [
      "9700",
      "1005890"
    ],
    [
      "22308",
      "3365934"
    ],
    [
      "51216",
      "11613228"
    ],
    [
      "3201/4",
      "745833/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (16,17,23,24), 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 13:27:29",
  "updated_at": "2026-10-21 13:27:29"
}