{
  "id": 2464,
  "curve_key": "230454667969:-108032412604126753",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4801138916",
    "125037114493200"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 78.48996003538227,
  "faltings_height": 4.444366293804428,
  "conductor": "2178330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "41"
  ],
  "discriminant": "328875212063731615709685350400",
  "regulator": "3.980715400650796875211560545650043530909",
  "points": [
    [
      "-55466",
      "14883640"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-7, q=16; A=(3q-p)(p+q)^3=40095, B=-(p+3q)(p-q)^3=498847. 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 20:03:11",
  "updated_at": "2026-09-26 20:03:11"
}