{
  "id": 4433,
  "curve_key": "1078896:-1659118680",
  "ainvs": [
    "0",
    "0",
    "1",
    "-22477",
    "1920276"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 42.45910476533318,
  "faltings_height": 1.566559820277685,
  "conductor": "866216414066363",
  "bad_primes": [
    "251879",
    "3439017997"
  ],
  "discriminant": "-866216414066363",
  "regulator": "282847.055367482657870173003410388392858173985995574428",
  "points": [
    [
      "-727/4",
      "327/8"
    ],
    [
      "-178",
      "530"
    ],
    [
      "-176",
      "651"
    ],
    [
      "-174",
      "750"
    ],
    [
      "-169",
      "944"
    ],
    [
      "-163",
      "1119"
    ],
    [
      "-559/4",
      "12213/8"
    ],
    [
      "-123",
      "1680"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_8.md#27 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:44",
  "updated_at": "2026-10-17 10:23:44"
}