{
  "id": 4451,
  "curve_key": "5392:-49816",
  "ainvs": [
    "0",
    "1",
    "1",
    "-112",
    "20"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 25.778014957776428,
  "faltings_height": 0.215439624860094,
  "conductor": "89284469",
  "bad_primes": [
    "43",
    "2076383"
  ],
  "discriminant": "89284469",
  "regulator": "30.6578925838195371475590581734743926633005281404",
  "points": [
    [
      "-10",
      "15"
    ],
    [
      "-9",
      "19"
    ],
    [
      "-4",
      "20"
    ],
    [
      "-2",
      "15"
    ],
    [
      "-1",
      "11"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_5.md#15 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:30",
  "updated_at": "2026-10-17 10:24:30"
}