{
  "id": 4471,
  "curve_key": "10573458672:-809753540131224",
  "ainvs": [
    "0",
    "0",
    "1",
    "-220280389",
    "937214745522"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 69.24483839759746,
  "faltings_height": 3.7910361849182697,
  "conductor": "304624442109032000008541749",
  "bad_primes": [
    "803832833",
    "378964916090995253"
  ],
  "discriminant": "304624442109032000008541749",
  "regulator": "186162770.39657213770720468452770607057089665876721534650867680",
  "points": [
    [
      "-65943/4",
      "2375953/8"
    ],
    [
      "-7435",
      "1471053"
    ],
    [
      "-1281",
      "1103309"
    ],
    [
      "-611",
      "1035170"
    ],
    [
      "944",
      "854465"
    ],
    [
      "2979",
      "554469"
    ],
    [
      "4109",
      "318525"
    ],
    [
      "4663",
      "106946"
    ],
    [
      "12335",
      "311213"
    ],
    [
      "12950",
      "506291"
    ],
    [
      "16245",
      "1282893"
    ],
    [
      "65617/4",
      "10546819/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:27",
  "updated_at": "2026-10-17 10:30:27"
}