{
  "id": 2244,
  "curve_key": "613674150779449:-15119553286858950826093",
  "ainvs": [
    "1",
    "0",
    "1",
    "-12784878141239",
    "17499481905495051686"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 102.1514556124465,
  "faltings_height": 6.351931736070471,
  "conductor": "5270706210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "29",
    "41",
    "101"
  ],
  "discriminant": "1450414578896069322354823515821771052900",
  "regulator": "3.416284639767081330315646780077666031065",
  "points": [
    [
      "2202105",
      "155209192"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-22, q=41; A=(3q-p)(p+q)^3=994555, B=-(p+3q)(p-q)^3=25254747. 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 19:49:24",
  "updated_at": "2026-09-26 19:49:24"
}