{
  "id": 2249,
  "curve_key": "571161607111881:-10262093232030740761221",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-11899200148164",
    "11877425697057838848"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 101.93607993076485,
  "faltings_height": 6.513949497818826,
  "conductor": "1277049690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "43",
    "47",
    "59"
  ],
  "discriminant": "46884820528126570794285981569477420250000",
  "regulator": "9.490852178051083343315789375993353101659",
  "points": [
    [
      "2880612",
      "1224750744"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-12, q=47; A=(3q-p)(p+q)^3=6559875, B=-(p+3q)(p-q)^3=26493891. 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 19:49:43",
  "updated_at": "2026-09-26 19:49:43"
}