{
  "id": 5328,
  "curve_key": "-438761416464:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "9140862843",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 80.42166489545619,
  "faltings_height": 4.770045819596173,
  "conductor": "297085772496135262752",
  "bad_primes": [
    "2",
    "3",
    "7",
    "29",
    "109",
    "197",
    "233"
  ],
  "discriminant": "-48881165381889735319052377030848",
  "regulator": "156737.1683995450342136315625902059925170241042899465",
  "points": [
    [
      "3052",
      "5284538"
    ],
    [
      "6757",
      "7878662"
    ],
    [
      "15957",
      "12244338"
    ],
    [
      "1792287",
      "2402859438"
    ],
    [
      "189196/9",
      "383216498/27"
    ],
    [
      "756784/9",
      "996873724/27"
    ],
    [
      "5155591/121",
      "28757886598/1331"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (2,20,22,23), 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 13:14:09",
  "updated_at": "2026-10-21 13:14:09"
}