{
  "id": 4472,
  "curve_key": "1324484176:-45687318967000",
  "ainvs": [
    "0",
    "1",
    "1",
    "-27593420",
    "52869643590"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 63.01286675836549,
  "faltings_height": 3.1926316662685377,
  "conductor": "136664518278987512577317",
  "bad_primes": [
    "7010513",
    "9932399",
    "1962690491"
  ],
  "discriminant": "136664518278987512577317",
  "regulator": "14717135.8946309031224136839949856420571309141799994043409342",
  "points": [
    [
      "-6014",
      "36566"
    ],
    [
      "-659/4",
      "1916847/8"
    ],
    [
      "1697",
      "104563"
    ],
    [
      "2215",
      "51209"
    ],
    [
      "2257",
      "45756"
    ],
    [
      "3596",
      "12541"
    ],
    [
      "3758",
      "47542"
    ],
    [
      "3802",
      "54153"
    ],
    [
      "4208",
      "106237"
    ],
    [
      "4707",
      "165218"
    ],
    [
      "5836",
      "301058"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_11.md#28 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:30",
  "updated_at": "2026-10-17 10:30:30"
}