{
  "id": 4434,
  "curve_key": "-1050359:-1296992485",
  "ainvs": [
    "1",
    "0",
    "1",
    "21882",
    "1502972"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 41.96662789624722,
  "faltings_height": 1.6052502988242867,
  "conductor": "822049277971034",
  "bad_primes": [
    "2",
    "91099",
    "4511845783"
  ],
  "discriminant": "-1644098555942068",
  "regulator": "16144.6785586217097566096381471598834180710003895315591",
  "points": [
    [
      "-59",
      "115"
    ],
    [
      "-57",
      "295"
    ],
    [
      "-1",
      "1217"
    ],
    [
      "11",
      "1315"
    ],
    [
      "22",
      "1401"
    ],
    [
      "64",
      "1747"
    ],
    [
      "83",
      "1931"
    ],
    [
      "197",
      "3571"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_8.md#14 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:46",
  "updated_at": "2026-10-17 10:23:46"
}