{
  "id": 2293,
  "curve_key": "86153461030561:-692730798907850947441",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1794863771470",
    "801771608423216900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.26145375769552,
  "faltings_height": 6.010234906541384,
  "conductor": "179031930",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "47",
    "97"
  ],
  "discriminant": "92355968274830966246113881000000000000",
  "regulator": "5.721464602273675694381134577151112600694",
  "points": [
    [
      "-5968465/4",
      "3184432765/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=36; A=(3q-p)(p+q)^3=1859375, B=-(p+3q)(p-q)^3=10070831. 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 19:52:33",
  "updated_at": "2026-09-26 19:52:33"
}