{
  "id": 2384,
  "curve_key": "29645450937481:-161409771359411635621",
  "ainvs": [
    "1",
    "0",
    "1",
    "-617613561198",
    "186816813531522256"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 93.06098941266401,
  "faltings_height": 5.3976837776918805,
  "conductor": "326551470",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "41",
    "97"
  ],
  "discriminant": "504702369129770129481393242250000",
  "regulator": "5.579718204473764297037137594710918442468",
  "points": [
    [
      "-624559",
      "573835449"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-28, q=23; A=(3q-p)(p+q)^3=-12125, B=-(p+3q)(p-q)^3=5438691. 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 19:58:12",
  "updated_at": "2026-09-26 19:58:12"
}