{
  "id": 2234,
  "curve_key": "2194034990620201:-102748475284300581945301",
  "ainvs": [
    "1",
    "0",
    "1",
    "-45709062304588",
    "118921842584777888906"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 105.97355611487802,
  "faltings_height": 6.5500851888102245,
  "conductor": "516546030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "103",
    "167"
  ],
  "discriminant": "2530969408176967437774602457405456000000",
  "regulator": "2.962632810973851007154771812724736593306",
  "points": [
    [
      "3835825",
      "166896887"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-32, q=45; A=(3q-p)(p+q)^3=366899, B=-(p+3q)(p-q)^3=47022899. 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 19:48:47",
  "updated_at": "2026-09-26 19:48:47"
}