{
  "id": 2441,
  "curve_key": "137045923485849:-1604350235722976815293",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2855123405955",
    "1856887560682445025"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 97.65401158053886,
  "faltings_height": 5.542679238125313,
  "conductor": "38035530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "19",
    "29",
    "59"
  ],
  "discriminant": "1004301246039355641279332628900",
  "regulator": "7.010101014303975718223173385707479858448",
  "points": [
    [
      "975700",
      "-241695"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-30, q=29; A=(3q-p)(p+q)^3=-117, B=-(p+3q)(p-q)^3=11706603. 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 20:01:48",
  "updated_at": "2026-09-26 20:01:48"
}