{
  "id": 2235,
  "curve_key": "824334299656921:-23478292208367469434781",
  "ainvs": [
    "1",
    "0",
    "1",
    "-17173631242853",
    "27173947884104189756"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 103.03679180108928,
  "faltings_height": 6.441965364218925,
  "conductor": "20863372530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "43",
    "107",
    "151"
  ],
  "discriminant": "5166226625532685143680665860241860562500",
  "regulator": "3.470060088402872232262046126436141423660",
  "points": [
    [
      "2624730",
      "423086347"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-22, q=43; A=(3q-p)(p+q)^3=1398411, B=-(p+3q)(p-q)^3=29384875. 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 19:48:51",
  "updated_at": "2026-09-26 19:48:51"
}