{
  "id": 2261,
  "curve_key": "795328016951889:-22425847616118087639513",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-16569333686498",
    "25955846290618245281"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 102.92932723627925,
  "faltings_height": 6.28850420568479,
  "conductor": "176832810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "79"
  ],
  "discriminant": "94580492106237131235108666834974030400",
  "regulator": "3.293811469303829409405037075088233004076",
  "points": [
    [
      "2296005",
      "126440227"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-45, q=34; A=(3q-p)(p+q)^3=-195657, B=-(p+3q)(p-q)^3=28103223. 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 19:50:28",
  "updated_at": "2026-09-26 19:50:28"
}