{
  "id": 2298,
  "curve_key": "87953154024121:-822903690606607553581",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1832357375503",
    "952434674394533006"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 96.32347634408455,
  "faltings_height": 5.832822613219639,
  "conductor": "216868470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "37",
    "113"
  ],
  "discriminant": "1859820330786202794712864649414062500",
  "regulator": "2.835679157129589672474269020099758655891",
  "points": [
    [
      "733705",
      "54362822"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-38, q=25; A=(3q-p)(p+q)^3=-248261, B=-(p+3q)(p-q)^3=9251739. 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 19:52:52",
  "updated_at": "2026-09-26 19:52:52"
}