{
  "id": 4493,
  "curve_key": "189417:-123473781",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-3946",
    "143896"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 37.26307878379683,
  "faltings_height": 1.1345779433209409,
  "conductor": "2444942116858",
  "bad_primes": [
    "2",
    "212881",
    "5742509"
  ],
  "discriminant": "-4889884233716",
  "regulator": "10569.24386680611867504988034227441439188827486912913",
  "points": [
    [
      "-76",
      "60"
    ],
    [
      "-70",
      "306"
    ],
    [
      "-66",
      "370"
    ],
    [
      "-55",
      "466"
    ],
    [
      "-14",
      "450"
    ],
    [
      "230",
      "3256"
    ],
    [
      "340",
      "5996"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_7.md#20 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:31:23",
  "updated_at": "2026-10-17 10:31:23"
}