{
  "id": 2284,
  "curve_key": "116278483065409:-753397547109071621473",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2422468397196",
    "871987699874244240"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.16102743800303,
  "faltings_height": 6.138254148168051,
  "conductor": "1744839030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "31",
    "79",
    "127"
  ],
  "discriminant": "581340827761676821185943652315489894400",
  "regulator": "5.042820133546306346510317216831102989391",
  "points": [
    [
      "-6766461/4",
      "2882437875/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-55, q=24; A=(3q-p)(p+q)^3=-3783457, B=-(p+3q)(p-q)^3=8381663. 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 19:51:59",
  "updated_at": "2026-09-26 19:51:59"
}