{
  "id": 2367,
  "curve_key": "7670178715761:-19547703570030239241",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-159795389912",
    "22624696858604699"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 89.00508309497097,
  "faltings_height": 5.379619942226189,
  "conductor": "92866410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "23",
    "29"
  ],
  "discriminant": "40009542724567971030014015841000000",
  "regulator": "3.814037730988907007502051122085657608935",
  "points": [
    [
      "-450681",
      "55920553"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-9, q=26; A=(3q-p)(p+q)^3=427431, B=-(p+3q)(p-q)^3=2958375. 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 19:57:10",
  "updated_at": "2026-09-26 19:57:10"
}