{
  "id": 2422,
  "curve_key": "2235922809409:-3340383160111032673",
  "ainvs": [
    "1",
    "0",
    "0",
    "-46581725196",
    "3866180331281040"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 85.30702544668289,
  "faltings_height": 4.878316510529336,
  "conductor": "4458090",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23",
    "71"
  ],
  "discriminant": "11575724043896057805102120960000",
  "regulator": "3.707463650814724486573928363654660847523",
  "points": [
    [
      "-162664",
      "84575924"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=16; A=(3q-p)(p+q)^3=-24353, B=-(p+3q)(p-q)^3=1482975. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.",
  "created_at": "2026-09-26 20:00:36",
  "updated_at": "2026-09-26 20:00:36"
}