{
  "id": 4457,
  "curve_key": "97776:-30936600",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2037",
    "35806"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 34.49490101392189,
  "faltings_height": 0.7465487867426034,
  "conductor": "53155881",
  "bad_primes": [
    "3",
    "421",
    "14029"
  ],
  "discriminant": "-12916879083",
  "regulator": "101.654283913693310795757220942077724297204066064",
  "points": [
    [
      "-50",
      "112"
    ],
    [
      "-47",
      "166"
    ],
    [
      "-29",
      "265"
    ],
    [
      "-11",
      "238"
    ],
    [
      "88",
      "733"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_5.md#8 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:46",
  "updated_at": "2026-10-17 10:24:46"
}