{
  "id": 2475,
  "curve_key": "109297160449:-35403908203665793",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2277024176",
    "40976555854080"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 76.25200875710348,
  "faltings_height": 4.250907295822955,
  "conductor": "2929290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "29",
    "37"
  ],
  "discriminant": "30215784460288861700098560000",
  "regulator": "4.517886462418831008994975825862085405010",
  "points": [
    [
      "-54362",
      "2054206"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Exact computational search in the full 2-torsion/3-torsion family with p=-25, q=4; A=(3q-p)(p+q)^3=-342657, B=-(p+3q)(p-q)^3=-317057. 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 20:03:55",
  "updated_at": "2026-09-26 20:03:55"
}