{
  "id": 2195,
  "curve_key": "28729099120286401:-4869431621884789071789601",
  "ainvs": [
    "1",
    "0",
    "0",
    "-598522898339300",
    "5635916179156412490000"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 113.69006073195088,
  "faltings_height": 7.104877651368951,
  "conductor": "7553448210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "109",
    "131",
    "229"
  ],
  "discriminant": "299521717204814490890200926338657856000000",
  "regulator": "9.262894535608928395903548802490513094298",
  "points": [
    [
      "14163400",
      "37135900"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-49, q=60; A=(3q-p)(p+q)^3=304799, B=-(p+3q)(p-q)^3=169648799. 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 19:46:21",
  "updated_at": "2026-09-26 19:46:21"
}