{
  "id": 2196,
  "curve_key": "17059674814024969:-2228111665077313885329253",
  "ainvs": [
    "1",
    "0",
    "1",
    "-355409891958854",
    "2578832916073844518856"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 112.126481626443,
  "faltings_height": 7.01454944795197,
  "conductor": "44957737110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "43",
    "101",
    "127"
  ],
  "discriminant": "253645525413167139293578878217079103872400",
  "regulator": "5.949778603615869161059353908776824122041",
  "points": [
    [
      "10816349",
      "187004097"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-44, q=57; A=(3q-p)(p+q)^3=472355, B=-(p+3q)(p-q)^3=130848227. 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 19:46:25",
  "updated_at": "2026-09-26 19:46:25"
}