{
  "id": 4412,
  "curve_key": "11244992304:-878493158909208",
  "ainvs": [
    "0",
    "0",
    "1",
    "-234270673",
    "1016774489478"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 69.42956621389318,
  "faltings_height": 3.8079392904007796,
  "conductor": "75252011735942348487679505",
  "bad_primes": [
    "5",
    "1447",
    "1901",
    "205499401",
    "26624833583"
  ],
  "discriminant": "376260058679711742438397525",
  "regulator": "98653621.322176908447866017749366956539488270124940209845984113",
  "points": [
    [
      "-13249",
      "1339757"
    ],
    [
      "-2424",
      "1253157"
    ],
    [
      "-1524",
      "1170582"
    ],
    [
      "86",
      "998312"
    ],
    [
      "2041",
      "739682"
    ],
    [
      "2641",
      "645357"
    ],
    [
      "3639",
      "460925"
    ],
    [
      "4711",
      "132962"
    ],
    [
      "4816",
      "15117"
    ],
    [
      "12456",
      "176837"
    ],
    [
      "12472",
      "187029"
    ],
    [
      "16291",
      "1234442"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:48",
  "updated_at": "2026-10-17 10:22:48"
}