{
  "id": 4419,
  "curve_key": "111555696:-1099426976280",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2324077",
    "1272484926"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 55.59010361952924,
  "faltings_height": 2.5862862105652957,
  "conductor": "103897289596322300437",
  "bad_primes": [
    "181",
    "519732341",
    "1104449597"
  ],
  "discriminant": "103897289596322300437",
  "regulator": "935837.1283626651129411758968756028268847087909238117461629",
  "points": [
    [
      "1061",
      "-1015"
    ],
    [
      "199",
      "-28599"
    ],
    [
      "1566",
      "38384"
    ],
    [
      "613",
      "8841"
    ],
    [
      "685",
      "-1383"
    ],
    [
      "477",
      "16505"
    ],
    [
      "591",
      "-10266"
    ],
    [
      "1156",
      "-11431"
    ],
    [
      "504",
      "-15139"
    ],
    [
      "673",
      "3633"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_10.md#27 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:07",
  "updated_at": "2026-10-17 10:23:07"
}