{
  "id": 2274,
  "curve_key": "299812879747969:-5186451444985388665153",
  "ainvs": [
    "1",
    "0",
    "0",
    "-6246101661416",
    "6002836800076468800"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 100.00253898542468,
  "faltings_height": 6.104421789498068,
  "conductor": "1178595210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "23",
    "59",
    "131"
  ],
  "discriminant": "29068545601056521412347806566531993600",
  "regulator": "4.221985909813714515351882887052182217843",
  "points": [
    [
      "1525438",
      "155542846"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-23, q=36; A=(3q-p)(p+q)^3=287807, B=-(p+3q)(p-q)^3=17457215. 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 19:51:17",
  "updated_at": "2026-09-26 19:51:17"
}