{
  "id": 4429,
  "curve_key": "5848752:-32872350744",
  "ainvs": [
    "0",
    "0",
    "1",
    "-121849",
    "38046702"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 48.43179547692659,
  "faltings_height": 2.085464406083107,
  "conductor": "509558981564991851",
  "bad_primes": [
    "509558981564991851"
  ],
  "discriminant": "-509558981564991851",
  "regulator": "1155040.6984117498672222837696190122046597607066463896441",
  "points": [
    [
      "-453",
      "533"
    ],
    [
      "-452",
      "881"
    ],
    [
      "-451",
      "1125"
    ],
    [
      "-410",
      "4368"
    ],
    [
      "-400",
      "4773"
    ],
    [
      "-391",
      "5090"
    ],
    [
      "-332",
      "6473"
    ],
    [
      "-303",
      "6866"
    ],
    [
      "-190",
      "7371"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_9.md#14 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:33",
  "updated_at": "2026-10-17 10:23:33"
}