{
  "id": 2302,
  "curve_key": "936178107227521:-28644231705564164719681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-19503710567240",
    "33153044330204865600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 103.41848057941091,
  "faltings_height": 6.192642047217166,
  "conductor": "945489930",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "41",
    "67",
    "149"
  ],
  "discriminant": "1187597397795152454962675740224000000",
  "regulator": "3.730103118936810304309933244599687011238",
  "points": [
    [
      "2552140",
      "195400"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-41, q=36; A=(3q-p)(p+q)^3=-18625, B=-(p+3q)(p-q)^3=30587711. 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 19:53:08",
  "updated_at": "2026-09-26 19:53:08"
}