{
  "id": 4422,
  "curve_key": "78182832:-453333578904",
  "ainvs": [
    "0",
    "0",
    "1",
    "-1628809",
    "524691642"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 54.523681925313724,
  "faltings_height": 2.5784714553109285,
  "conductor": "157630523181786606709",
  "bad_primes": [
    "100483",
    "1568728274253223"
  ],
  "discriminant": "157630523181786606709",
  "regulator": "1063358.227780077106108989798872008262353936260512535040576",
  "points": [
    [
      "-1171",
      "28745"
    ],
    [
      "-822",
      "36168"
    ],
    [
      "-681",
      "36305"
    ],
    [
      "-560",
      "35513"
    ],
    [
      "-427",
      "33798"
    ],
    [
      "-152",
      "27726"
    ],
    [
      "245",
      "11846"
    ],
    [
      "345",
      "1953"
    ],
    [
      "1089",
      "6510"
    ],
    [
      "1107",
      "8841"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_10.md#12 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:15",
  "updated_at": "2026-10-17 10:23:15"
}