{
  "id": 4458,
  "curve_key": "1072:-49816",
  "ainvs": [
    "0",
    "1",
    "1",
    "-22",
    "50"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 21.632182993104575,
  "faltings_height": -0.17313311996686487,
  "conductor": "723211",
  "bad_primes": [
    "73",
    "9907"
  ],
  "discriminant": "-723211",
  "regulator": "4.166513949745202064577963756999196877315050496",
  "points": [
    [
      "-1",
      "8"
    ],
    [
      "1",
      "5"
    ],
    [
      "3",
      "4"
    ],
    [
      "4",
      "6"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_4.md#7 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:49",
  "updated_at": "2026-10-17 10:24:49"
}