{
  "id": 2206,
  "curve_key": "3207305129955481:-180145522385696353042621",
  "ainvs": [
    "1",
    "0",
    "1",
    "-66818856874073",
    "208501756452243817256"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 107.11262236823144,
  "faltings_height": 6.782802564762635,
  "conductor": "11605423830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "127",
    "179"
  ],
  "discriminant": "312799218589034135655076818962938476562500",
  "regulator": "3.330881857935383502840080358049311987937",
  "points": [
    [
      "5141460",
      "928975252"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-26, q=51; A=(3q-p)(p+q)^3=2796875, B=-(p+3q)(p-q)^3=57979691. 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 19:47:03",
  "updated_at": "2026-09-26 19:47:03"
}