{
  "id": 4487,
  "curve_key": "1685281:-41990328145",
  "ainvs": [
    "1",
    "0",
    "0",
    "-35110",
    "48596991"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 48.92141029289769,
  "faltings_height": 2.134607596280423,
  "conductor": "1017593269521952603",
  "bad_primes": [
    "1017593269521952603"
  ],
  "discriminant": "-1017593269521952603",
  "regulator": "240825.03262450629317563444041567784791185610402675302683",
  "points": [
    [
      "-374",
      "3261"
    ],
    [
      "317",
      "8169"
    ],
    [
      "67",
      "-6856"
    ],
    [
      "709",
      "19145"
    ],
    [
      "-307",
      "-5366"
    ],
    [
      "-301",
      "5800"
    ],
    [
      "143",
      "-6891"
    ],
    [
      "-111",
      "7206"
    ],
    [
      "595",
      "15144"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_9.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:31:07",
  "updated_at": "2026-10-17 10:31:07"
}