{
  "id": 4534,
  "curve_key": "8508823633:-4250137671155321",
  "ainvs": [
    "1",
    "1",
    "1",
    "-177267159",
    "4919066961780"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 71.97145554107075,
  "faltings_height": 4.054755660439506,
  "conductor": "2182440670557",
  "bad_primes": [
    "3",
    "7",
    "43",
    "109",
    "131",
    "193",
    "877"
  ],
  "discriminant": "-10097008515794627143632259743",
  "regulator": "2341.59754499349322031549281230492000516273076493",
  "points": [
    [
      "21740",
      "-3378480"
    ],
    [
      "1395/4",
      "17630005/8"
    ],
    [
      "1401159/1156",
      "85239468047/39304"
    ],
    [
      "-7500",
      "2417619"
    ],
    [
      "4711437/16",
      "-10226543901/64"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:2420 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:34:20",
  "updated_at": "2026-10-17 10:34:20"
}