{
  "id": 4478,
  "curve_key": "5190312441:-373541265871245",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-108131509",
    "432366460969"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 67.11017919867078,
  "faltings_height": 3.3673583603329,
  "conductor": "84065693672563262871566",
  "bad_primes": [
    "2",
    "42032846836281631435783"
  ],
  "discriminant": "168131387345126525743132",
  "regulator": "7821720.07590037438720248030468500027162082139788193461204614",
  "points": [
    [
      "-11692",
      "319227"
    ],
    [
      "4293",
      "215255"
    ],
    [
      "5260",
      "92793"
    ],
    [
      "22899/4",
      "221317/8"
    ],
    [
      "5792",
      "15795"
    ],
    [
      "5826",
      "7789"
    ],
    [
      "6440",
      "52083"
    ],
    [
      "6596",
      "74625"
    ],
    [
      "6812",
      "105403"
    ],
    [
      "7273",
      "171300"
    ],
    [
      "7283",
      "172740"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_11.md#39 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:45",
  "updated_at": "2026-10-17 10:30:45"
}