{
  "id": 4479,
  "curve_key": "130529776:-1412807319640",
  "ainvs": [
    "0",
    "1",
    "1",
    "-2719370",
    "1634287200"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 56.06133578184872,
  "faltings_height": 2.6137584613615292,
  "conductor": "131912458262686619717",
  "bad_primes": [
    "7123597031",
    "18517675507"
  ],
  "discriminant": "131912458262686619717",
  "regulator": "1060558.765816982738573366222420523416722943052687669030023",
  "points": [
    [
      "-1854",
      "17511"
    ],
    [
      "-1203",
      "56268"
    ],
    [
      "-884",
      "57863"
    ],
    [
      "-431",
      "52215"
    ],
    [
      "477",
      "21116"
    ],
    [
      "707",
      "8098"
    ],
    [
      "747",
      "4506"
    ],
    [
      "1125",
      "299"
    ],
    [
      "1410",
      "24600"
    ],
    [
      "1479",
      "29150"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_10.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:48",
  "updated_at": "2026-10-17 10:30:48"
}