{
  "id": 4484,
  "curve_key": "13213456:-54777116440",
  "ainvs": [
    "0",
    "1",
    "1",
    "-275280",
    "63307680"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 49.453076720953106,
  "faltings_height": 2.103814996465054,
  "conductor": "401344671639500203",
  "bad_primes": [
    "479",
    "35117",
    "23859678121"
  ],
  "discriminant": "-401344671639500203",
  "regulator": "1320610.3957472733326553306911234958126244622007978677556",
  "points": [
    [
      "-613",
      "1443"
    ],
    [
      "-606",
      "2819"
    ],
    [
      "-584",
      "5023"
    ],
    [
      "-543",
      "7278"
    ],
    [
      "-510",
      "8444"
    ],
    [
      "-287",
      "10897"
    ],
    [
      "-181",
      "10355"
    ],
    [
      "582",
      "10028"
    ],
    [
      "4420",
      "291919"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_9.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:31:00",
  "updated_at": "2026-10-17 10:31:00"
}