{
  "id": 4386,
  "curve_key": "-759687783075749147279:5712780558288474197182194214519",
  "ainvs": [
    "1",
    "1",
    "1",
    "15826828814078107235",
    "-6612014528461592389020920845"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 144.2383176330735,
  "faltings_height": 10.093716068901198,
  "conductor": "42744841527109526140830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "29",
    "41",
    "59",
    "83",
    "97",
    "103",
    "337",
    "647",
    "8641"
  ],
  "discriminant": "-272610575488097182067608344389779043425264015438718400000000",
  "regulator": "6217040.50054608291370913418188188831740578061435743128",
  "points": [
    [
      "74148450463",
      "20219620752656268"
    ],
    [
      "12806495365/16",
      "5186997082014831/64"
    ],
    [
      "991036579117/784",
      "2725411412178003261/21952"
    ],
    [
      "256819565663/121",
      "254430626612895468/1331"
    ],
    [
      "272022744337/49",
      "172300303625272374/343"
    ],
    [
      "781765755527/529",
      "1720863986735709756/12167"
    ],
    [
      "7404600057737/1024",
      "22842048561065706699/32768"
    ],
    [
      "7532945381069/1936",
      "28745930126024263125/85184"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/family_Z4.md#40 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:08",
  "updated_at": "2026-10-17 10:21:08"
}