{
  "id": 4427,
  "curve_key": "15878352:-66636312984",
  "ainvs": [
    "0",
    "0",
    "1",
    "-330799",
    "77125362"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 49.84503101180687,
  "faltings_height": 2.0930104476607445,
  "conductor": "252960276015055691",
  "bad_primes": [
    "409",
    "618484782432899"
  ],
  "discriminant": "-252960276015055691",
  "regulator": "105763.85016541263615203234778498957857001006455550477608",
  "points": [
    [
      "-553",
      "9536"
    ],
    [
      "-472",
      "11318"
    ],
    [
      "233",
      "-3564"
    ],
    [
      "363",
      "2208"
    ],
    [
      "302",
      "2183"
    ],
    [
      "319",
      "-2016"
    ],
    [
      "595",
      "-9537"
    ],
    [
      "268",
      "2778"
    ],
    [
      "208",
      "-4162"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_9.md#28 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:28",
  "updated_at": "2026-10-17 10:23:28"
}