{
  "id": 4463,
  "curve_key": "167584334736:-73493883792878040",
  "ainvs": [
    "0",
    "0",
    "1",
    "-3491340307",
    "85062365501016"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 77.67195716792936,
  "faltings_height": 4.425270411385737,
  "conductor": "402099048666566052137511629723",
  "bad_primes": [
    "748271",
    "114415993",
    "4696641350652541"
  ],
  "discriminant": "-402099048666566052137511629723",
  "regulator": "1867385003.844404283274207829720325380828306495080275683868918230",
  "points": [
    [
      "32014",
      "2470146"
    ],
    [
      "101",
      "9203789"
    ],
    [
      "11355",
      "6847062"
    ],
    [
      "59037",
      "9203789"
    ],
    [
      "41873",
      "-3505342"
    ],
    [
      "-65278",
      "-5899690"
    ],
    [
      "45978",
      "4661966"
    ],
    [
      "232009",
      "-108460414"
    ],
    [
      "152658",
      "-55764634"
    ],
    [
      "-35901",
      "-12811434"
    ],
    [
      "32266",
      "-2450050"
    ],
    [
      "-48106",
      "11903381"
    ],
    [
      "3021",
      "8633805"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#30 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:03",
  "updated_at": "2026-10-17 10:30:03"
}