{
  "id": 4462,
  "curve_key": "25648:-4109464",
  "ainvs": [
    "0",
    "1",
    "1",
    "-534",
    "4578"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 30.457606328685035,
  "faltings_height": 0.28482917629056487,
  "conductor": "709111",
  "bad_primes": [
    "13",
    "54547"
  ],
  "discriminant": "-9218443",
  "regulator": "21.51032725719663105083540784323457996391382781",
  "points": [
    [
      "-27",
      "6"
    ],
    [
      "-14",
      "97"
    ],
    [
      "24",
      "78"
    ],
    [
      "38",
      "201"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_4.md#6 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:25:01",
  "updated_at": "2026-10-17 10:25:01"
}