{
  "id": 4411,
  "curve_key": "6224220912:-971640926870616",
  "ainvs": [
    "0",
    "0",
    "1",
    "-129671269",
    "1124584406100"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 69.02001487067602,
  "faltings_height": 3.796576691172278,
  "conductor": "406802088686884491992318651",
  "bad_primes": [
    "821",
    "11969",
    "24407",
    "12541829",
    "135240533"
  ],
  "discriminant": "-406802088686884491992318651",
  "regulator": "186400155.70146554621216302483966001027065884975307496547974954",
  "points": [
    [
      "-10223",
      "1175504"
    ],
    [
      "-2438",
      "1194249"
    ],
    [
      "-2309",
      "1188143"
    ],
    [
      "3186",
      "862433"
    ],
    [
      "4656",
      "788523"
    ],
    [
      "7040",
      "748740"
    ],
    [
      "13007",
      "1280039"
    ],
    [
      "15865",
      "1749440"
    ],
    [
      "25708",
      "3844664"
    ],
    [
      "36728",
      "6775404"
    ],
    [
      "70955",
      "18685680"
    ],
    [
      "75088/9",
      "21319145/27"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:45",
  "updated_at": "2026-10-17 10:22:45"
}