{
  "id": 4470,
  "curve_key": "10407667696:-855753249721240",
  "ainvs": [
    "0",
    "1",
    "1",
    "-216826410",
    "990382874670"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 69.19742594969708,
  "faltings_height": 3.7735739223975067,
  "conductor": "228611240971968172580506037",
  "bad_primes": [
    "1361",
    "24030847",
    "6989890583646811"
  ],
  "discriminant": "228611240971968172580506037",
  "regulator": "178054536.58772386987612364116405746454694574938188805229012177",
  "points": [
    [
      "2241",
      "718146"
    ],
    [
      "-16287",
      "449117"
    ],
    [
      "-1596",
      "-1154286"
    ],
    [
      "11400",
      "15354"
    ],
    [
      "12579",
      "503460"
    ],
    [
      "71777/16",
      "21031257/64"
    ],
    [
      "-7063",
      "-1472934"
    ],
    [
      "11412",
      "-48142"
    ],
    [
      "11846",
      "290378"
    ],
    [
      "4095",
      "-413721"
    ],
    [
      "4272",
      "376938"
    ],
    [
      "12099",
      "-371845"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#15 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:24",
  "updated_at": "2026-10-17 10:30:24"
}