{
  "id": 4443,
  "curve_key": "219081:-130069125",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4564",
    "151684"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 37.36715319574075,
  "faltings_height": 1.1227917675039414,
  "conductor": "1852679237314",
  "bad_primes": [
    "2",
    "926339618657"
  ],
  "discriminant": "-3705358474628",
  "regulator": "8595.996637038621479339105643827547944195065454280373",
  "points": [
    [
      "-80",
      "42"
    ],
    [
      "-79",
      "160"
    ],
    [
      "-74",
      "320"
    ],
    [
      "-63",
      "463"
    ],
    [
      "-31",
      "528"
    ],
    [
      "-10",
      "448"
    ],
    [
      "277",
      "4343"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_7.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:11",
  "updated_at": "2026-10-17 10:24:11"
}