{
  "id": 4405,
  "curve_key": "124775380281:-33845222760914925",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2599487089",
    "39173361400609"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 76.64934300009408,
  "faltings_height": 4.4034363427455805,
  "conductor": "230646920098311714063851989286",
  "bad_primes": [
    "2",
    "223640842707413",
    "515663680448711"
  ],
  "discriminant": "461293840196623428127703978572",
  "regulator": "4967697386444.742649977456281874021817926756892984352235135565018",
  "points": [
    [
      "-37735",
      "9158448"
    ],
    [
      "-1806",
      "6623753"
    ],
    [
      "-177",
      "6295600"
    ],
    [
      "-37",
      "6266560"
    ],
    [
      "557",
      "6141840"
    ],
    [
      "2292",
      "5763173"
    ],
    [
      "56492",
      "8492685"
    ],
    [
      "124692",
      "40603973"
    ],
    [
      "-631661/25",
      "1178988577/125"
    ],
    [
      "-413012/9",
      "212912381/27"
    ],
    [
      "15745684/961",
      "29247194873/29791"
    ],
    [
      "959762629/17424",
      "18208243461517/2299968"
    ],
    [
      "16845344559906/1024960225",
      "30680473388418927859/32814101603375"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Volkan Dagli",
      "at": "2026-10-17 10:28:20"
    }
  ],
  "commentary": "BASE records/rank_13.md#17 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:29",
  "updated_at": "2026-10-17 10:28:20"
}