{
  "id": 2568,
  "curve_key": "100252321:632819391119",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2088590",
    "-732603900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 55.26960232800794,
  "faltings_height": 2.6438695725897134,
  "conductor": "53130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23"
  ],
  "discriminant": "351347432901696000000",
  "regulator": "1.383717590166131160381473412439747765828",
  "points": [
    [
      "-1148",
      "12922"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=4; A=(3q-p)(p+q)^3=-7889, B=-(p+3q)(p-q)^3=3375. 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 20:09:49",
  "updated_at": "2026-09-26 20:09:49"
}