{
  "id": 2629,
  "curve_key": "24250309796689:-119402042575597716313",
  "ainvs": [
    "1",
    "0",
    "0",
    "-505214787431",
    "138196766435339145"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 92.45835152505491,
  "faltings_height": 5.412875731457015,
  "conductor": "800597490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "29",
    "37"
  ],
  "discriminant": "2438889006691467873817603822785600",
  "regulator": "11.4465933123462019421592452756936251223194",
  "points": [
    [
      "-808014",
      "137794029"
    ],
    [
      "-496472",
      "516629101"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=22; A=(3q-p)(p+q)^3=-32585, B=-(p+3q)(p-q)^3=4908087. 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 20:13:45",
  "updated_at": "2026-09-26 20:13:45"
}