{
  "id": 2442,
  "curve_key": "571199995081:-354372762594598021",
  "ainvs": [
    "1",
    "0",
    "1",
    "-11899999898",
    "410152668743756"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 81.21301571808027,
  "faltings_height": 4.770881677899305,
  "conductor": "1591590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "53"
  ],
  "discriminant": "35176530349719088580250000000000",
  "regulator": "3.638481338281048052144651734629107573170",
  "points": [
    [
      "-113230",
      "17545677"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-32, q=7; A=(3q-p)(p+q)^3=-828125, B=-(p+3q)(p-q)^3=-652509. 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 20:01:51",
  "updated_at": "2026-09-26 20:01:51"
}