{
  "id": 4392,
  "curve_key": "247565825469047881:-175608447355517969105039429",
  "ainvs": [
    "1",
    "1",
    "0",
    "-5157621363938497",
    "203250515623581340378681"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 120.86059803514061,
  "faltings_height": 8.09636808128501,
  "conductor": "2011020983594216490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "79",
    "97",
    "101",
    "809",
    "1277",
    "6449"
  ],
  "discriminant": "-9065570038147322479624538362044180277072963314900",
  "regulator": "3524800.102782854387365532361112416231438998603403720",
  "points": [
    [
      "-180142737/4",
      "4693566615587/8"
    ],
    [
      "-33813563",
      "582242890894"
    ],
    [
      "11674022123/4",
      "1260947477060677/8"
    ],
    [
      "-23862615697611/354025",
      "104198692671858646247/210644875"
    ],
    [
      "-7054497063/14161",
      "764512563774346871/1685159"
    ],
    [
      "397523670103/169",
      "250519128231756643/2197"
    ],
    [
      "38497791473737/546121",
      "175891707053486554291/403583419"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/family_Z4.md#28 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:26",
  "updated_at": "2026-10-17 10:21:26"
}