{
  "id": 4491,
  "curve_key": "214033:-122896729",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4459",
    "141870"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 37.25370991809564,
  "faltings_height": 1.1092836282415706,
  "conductor": "3066393226693",
  "bad_primes": [
    "157",
    "8231",
    "2372879"
  ],
  "discriminant": "-3066393226693",
  "regulator": "2311.517359559567512879627344643991312950743296643133",
  "points": [
    [
      "26",
      "196"
    ],
    [
      "13",
      "287"
    ],
    [
      "57",
      "243"
    ],
    [
      "47",
      "-215"
    ],
    [
      "-14",
      "456"
    ],
    [
      "41",
      "-189"
    ],
    [
      "55",
      "225"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_7.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:31:18",
  "updated_at": "2026-10-17 10:31:18"
}