{
  "id": 4453,
  "curve_key": "6832:-198424",
  "ainvs": [
    "0",
    "1",
    "1",
    "-142",
    "182"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 26.48811820640522,
  "faltings_height": 0.26761924697923145,
  "conductor": "161759189",
  "bad_primes": [
    "161759189"
  ],
  "discriminant": "161759189",
  "regulator": "32.1894776546261190550318317974434764469285820987",
  "points": [
    [
      "-10",
      "26"
    ],
    [
      "-4",
      "26"
    ],
    [
      "-2",
      "21"
    ],
    [
      "1",
      "6"
    ],
    [
      "11",
      "8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_5.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:35",
  "updated_at": "2026-10-17 10:24:35"
}