{
  "id": 2231,
  "curve_key": "14030115324128689:-1661848098012429316014313",
  "ainvs": [
    "1",
    "0",
    "0",
    "-292294069252681",
    "1923435274267657789145"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 111.53994752644539,
  "faltings_height": 6.869147395566287,
  "conductor": "4791954090",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "23",
    "47",
    "101"
  ],
  "discriminant": "3951509319270662975179249328801517441600",
  "regulator": "4.026350361014473885050469854336068767627",
  "points": [
    [
      "9824348",
      "242540801"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-47, q=54; A=(3q-p)(p+q)^3=71687, B=-(p+3q)(p-q)^3=118484615. 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 19:48:36",
  "updated_at": "2026-09-26 19:48:36"
}