{
  "id": 2271,
  "curve_key": "226502181269721:-3369132491653775565981",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4718795443119",
    "3899460082075915833"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 99.16132707340547,
  "faltings_height": 6.135310597810166,
  "conductor": "927728010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "31",
    "37",
    "43"
  ],
  "discriminant": "155811107667525120164279615190800062500",
  "regulator": "4.196152740833146732885126222363222907740",
  "points": [
    [
      "-2467568",
      "721407029"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-18, q=37; A=(3q-p)(p+q)^3=884811, B=-(p+3q)(p-q)^3=15472875. 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 19:51:06",
  "updated_at": "2026-09-26 19:51:06"
}