{
  "id": 2404,
  "curve_key": "2895447846361:2748594929350117859",
  "ainvs": [
    "1",
    "0",
    "1",
    "-60321830133",
    "-3181249158011444"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 86.08248273446098,
  "faltings_height": 5.219457622068211,
  "conductor": "5704590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "79",
    "83"
  ],
  "discriminant": "9675668556714471522220977539062500",
  "regulator": "4.509016688734142837181354477370980241157",
  "points": [
    [
      "-174655",
      "45104292"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-2, q=27; A=(3q-p)(p+q)^3=1296875, B=-(p+3q)(p-q)^3=1926731. 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 19:59:31",
  "updated_at": "2026-09-26 19:59:31"
}