{
  "id": 4431,
  "curve_key": "5424681:-12682250325",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-113014",
    "14706784"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 46.52693848127069,
  "faltings_height": 1.7013910957143557,
  "conductor": "349101890324014",
  "bad_primes": [
    "2",
    "1741",
    "66103",
    "1516709"
  ],
  "discriminant": "-698203780648028",
  "regulator": "59931.2880104292363607190590611830478880825348505382772",
  "points": [
    [
      "-358",
      "3210"
    ],
    [
      "-338",
      "3938"
    ],
    [
      "-240",
      "5408"
    ],
    [
      "-206",
      "5508"
    ],
    [
      "-154",
      "5410"
    ],
    [
      "130",
      "1418"
    ],
    [
      "291",
      "2384"
    ],
    [
      "618",
      "13130"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_8.md#36 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:38",
  "updated_at": "2026-10-17 10:23:38"
}