{
  "id": 4456,
  "curve_key": "53616:-11254680",
  "ainvs": [
    "0",
    "0",
    "1",
    "-1117",
    "13026"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 32.668808429931275,
  "faltings_height": 0.6928305532953198,
  "conductor": "53149343",
  "bad_primes": [
    "13",
    "23",
    "149",
    "1193"
  ],
  "discriminant": "15891653557",
  "regulator": "7.70499352145395249014053486769522665316746511647",
  "points": [
    [
      "-9",
      "149"
    ],
    [
      "11",
      "45"
    ],
    [
      "14",
      "11"
    ],
    [
      "24",
      "6"
    ],
    [
      "37",
      "149"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_5.md#7 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:43",
  "updated_at": "2026-10-17 10:24:43"
}