{
  "id": 4410,
  "curve_key": "500360016:-875389874586840",
  "ainvs": [
    "0",
    "0",
    "1",
    "-10424167",
    "1013182725216"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 68.81138094801058,
  "faltings_height": 3.791981838722866,
  "conductor": "443392455047858519129412443",
  "bad_primes": [
    "1309807",
    "338517396110922081749"
  ],
  "discriminant": "-443392455047858519129412443",
  "regulator": "223274679.14924924106274171993917907830250662961804494535058658",
  "points": [
    [
      "-10348",
      "113915"
    ],
    [
      "-9995",
      "344777"
    ],
    [
      "-8831",
      "645398"
    ],
    [
      "-7828",
      "784284"
    ],
    [
      "-4426",
      "986213"
    ],
    [
      "-4353",
      "987965"
    ],
    [
      "-3854",
      "998054"
    ],
    [
      "-2152",
      "1012743"
    ],
    [
      "-1746",
      "1012946"
    ],
    [
      "130",
      "1005897"
    ],
    [
      "6672",
      "1113840"
    ],
    [
      "10496",
      "1435295"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#12 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:43",
  "updated_at": "2026-10-17 10:22:43"
}