{
  "id": 4496,
  "curve_key": "29712:-7491096",
  "ainvs": [
    "0",
    "0",
    "1",
    "-619",
    "8670"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 31.658451346452715,
  "faltings_height": 0.6653917347681241,
  "conductor": "17295531371",
  "bad_primes": [
    "17295531371"
  ],
  "discriminant": "-17295531371",
  "regulator": "217.50986721024661772217730063667013078584632857657",
  "points": [
    [
      "-17",
      "119"
    ],
    [
      "-13",
      "120"
    ],
    [
      "-2",
      "99"
    ],
    [
      "5",
      "75"
    ],
    [
      "12",
      "54"
    ],
    [
      "22",
      "75"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_6.md#17 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:31:30",
  "updated_at": "2026-10-17 10:31:30"
}