{
  "id": 5770,
  "curve_key": "0:8683877204644219655220000",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-10050783801671550526875"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 114.8470206867182,
  "faltings_height": 7.628240966351478,
  "conductor": "1608125408267448084300",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "29",
    "41",
    "89"
  ],
  "discriminant": "-43639886172071473595533804498803110922018750000",
  "regulator": "122443099.4276284355030259980252782706389753737202885",
  "points": [
    [
      "11174746441/16",
      "1181272544631739/64"
    ],
    [
      "589316614915759/26801329",
      "-3342384673520752565902/138750480233"
    ],
    [
      "5571490159/49",
      "414445366179298/343"
    ],
    [
      "22293379",
      "32076602992"
    ],
    [
      "4782301278199/90601",
      "-10094472799460266582/27270901"
    ],
    [
      "90978925519/529",
      "27414589021038478/12167"
    ],
    [
      "12192444082699/3481",
      "-42573181663941781832/205379"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A^2 = 38587627650^2, [r, s, t] = [18, 39, 41] or [25, 33, 54] or [13, 17, 78] or [29, 41, 89] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 01:28:31",
  "updated_at": "2026-10-25 01:28:31"
}