{
  "id": 4428,
  "curve_key": "6683817:-31736244501",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-139246",
    "36766576"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 48.36145044868959,
  "faltings_height": 2.072087810299433,
  "conductor": "205034814784919398",
  "bad_primes": [
    "2",
    "102517407392459699"
  ],
  "discriminant": "-410069629569838796",
  "regulator": "91347.860053955664635512631817756817496426295906950663662",
  "points": [
    [
      "170",
      "4156"
    ],
    [
      "30",
      "5696"
    ],
    [
      "-80",
      "6924"
    ],
    [
      "-464",
      "1380"
    ],
    [
      "-24",
      "6344"
    ],
    [
      "459",
      "-8560"
    ],
    [
      "-216",
      "7640"
    ],
    [
      "552",
      "11032"
    ],
    [
      "-434",
      "4130"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_9.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:31",
  "updated_at": "2026-10-17 10:23:31"
}