{
  "id": 4473,
  "curve_key": "2069343696:-95538944643480",
  "ainvs": [
    "0",
    "0",
    "1",
    "-43111327",
    "110577482226"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 64.38111015520487,
  "faltings_height": 3.247042963165902,
  "conductor": "154155590299449574815563",
  "bad_primes": [
    "499",
    "57305977",
    "5390869414481"
  ],
  "discriminant": "-154155590299449574815563",
  "regulator": "10994820.5577648236127660909092968544168970244658192638154258",
  "points": [
    [
      "-7590",
      "23387"
    ],
    [
      "-1009",
      "391215"
    ],
    [
      "2389",
      "145668"
    ],
    [
      "2698",
      "117908"
    ],
    [
      "3337",
      "62244"
    ],
    [
      "3558",
      "47216"
    ],
    [
      "3835",
      "40592"
    ],
    [
      "4327",
      "71055"
    ],
    [
      "4436",
      "81410"
    ],
    [
      "4849",
      "124676"
    ],
    [
      "5626",
      "214724"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_11.md#36 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:32",
  "updated_at": "2026-10-17 10:30:32"
}