{
  "id": 2625,
  "curve_key": "20399813490721:-88688202488556162481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-424996114390",
    "102648347093560100"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 91.93964062237563,
  "faltings_height": 5.587141155649248,
  "conductor": "799880430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "19",
    "23",
    "37",
    "97"
  ],
  "discriminant": "361014981697392143000683669056000000",
  "regulator": "14.5974614423817544652994290085281755544436",
  "points": [
    [
      "-2807005/4",
      "1884240355/8"
    ],
    [
      "299180",
      "47570810"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=20; A=(3q-p)(p+q)^3=-476561, B=-(p+3q)(p-q)^3=4259439. 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 20:13:30",
  "updated_at": "2026-09-26 20:13:30"
}