{
  "id": 4395,
  "curve_key": "105287402920944:-1421918528882147171928",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2193487560853",
    "1645739038058040708"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 97.41258797856572,
  "faltings_height": 6.1325060068332,
  "conductor": "98923079663225083409518579325988101695",
  "bad_primes": [
    "5",
    "19784615932645016681903715865197620339"
  ],
  "discriminant": "-494615398316125417047592896629940508475",
  "regulator": "667918532273.37633257095861043394911456335402018587608714318936194356",
  "points": [
    [
      "878506",
      "629884182"
    ],
    [
      "1380386",
      "-1117209663"
    ],
    [
      "-458128",
      "1598275515"
    ],
    [
      "-1685679",
      "743891792"
    ],
    [
      "1137746",
      "789227982"
    ],
    [
      "-1647752",
      "-886720413"
    ],
    [
      "1187621",
      "-846037608"
    ],
    [
      "1509123",
      "1331334687"
    ],
    [
      "1708898",
      "-1699365378"
    ],
    [
      "1031473",
      "-693280368"
    ],
    [
      "1044307",
      "702824255"
    ],
    [
      "-377489",
      "1555623687"
    ],
    [
      "982171",
      "-662434993"
    ],
    [
      "325373",
      "-983099113"
    ],
    [
      "380327",
      "930865335"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_15.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:38",
  "updated_at": "2026-10-17 10:21:38"
}