{
  "id": 4436,
  "curve_key": "1359696:-465554520",
  "ainvs": [
    "0",
    "0",
    "1",
    "-28327",
    "538836"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 42.368315109942145,
  "faltings_height": 1.5934751347187222,
  "conductor": "1329298918250437",
  "bad_primes": [
    "1329298918250437"
  ],
  "discriminant": "1329298918250437",
  "regulator": "119498.979336016571674867939847181067177058918438564264",
  "points": [
    [
      "-177",
      "86"
    ],
    [
      "-687/4",
      "4645/8"
    ],
    [
      "-164",
      "879"
    ],
    [
      "-160",
      "987"
    ],
    [
      "-158",
      "1034"
    ],
    [
      "-129",
      "1430"
    ],
    [
      "-32",
      "1188"
    ],
    [
      "372",
      "6440"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_8.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:52",
  "updated_at": "2026-10-17 10:23:52"
}