{
  "id": 4477,
  "curve_key": "455750041:-31710560749885",
  "ainvs": [
    "1",
    "0",
    "1",
    "-9494793",
    "36701246672"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 62.17534177602963,
  "faltings_height": 3.2358064301966367,
  "conductor": "263569643529999464027834",
  "bad_primes": [
    "2",
    "1256863",
    "104852177019293059"
  ],
  "discriminant": "-527139287059998928055668",
  "regulator": "13920406.1177610490122251450412991013422407666074027642816493",
  "points": [
    [
      "-451",
      "202442"
    ],
    [
      "-4115",
      "80136"
    ],
    [
      "1211",
      "163648"
    ],
    [
      "3497",
      "-216844"
    ],
    [
      "-4219",
      "42928"
    ],
    [
      "-1103",
      "-213534"
    ],
    [
      "4363/4",
      "-1334457/8"
    ],
    [
      "1333",
      "-163190"
    ],
    [
      "4459",
      "285912"
    ],
    [
      "-2981",
      "-194768"
    ],
    [
      "-3010",
      "-193462"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_11.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:43",
  "updated_at": "2026-10-17 10:30:43"
}