{
  "id": 4388,
  "curve_key": "5441020508763990687887676496:-307384315709512783848179056500896734747456",
  "ainvs": [
    "0",
    "1",
    "0",
    "-113354593932583139330993260",
    "355768883923009418663340824718483111908"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    6
  ],
  "family": null,
  "families": [],
  "naive_height": 191.59129244290924,
  "faltings_height": 13.982357311132507,
  "conductor": "138069388263663287852601180",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "37",
    "41",
    "53",
    "71",
    "163",
    "173",
    "18913",
    "44417"
  ],
  "discriminant": "38538590878241826205631717019583799998221441048160491667032989025130486236000000",
  "regulator": "338665818.523454939276228765319442815138122715194070766",
  "points": [
    [
      "-5075101991344",
      "28290233857861185210"
    ],
    [
      "183577405627469/4",
      "2424149370609203315925/8"
    ],
    [
      "101294187988609/144",
      "28727433291781190941975/1728"
    ],
    [
      "15593256574511",
      "48782133047034387000"
    ],
    [
      "8437998235876",
      "258702816996155070"
    ],
    [
      "8464084853211944/529",
      "624938668989441870714750/12167"
    ],
    [
      "736614197926266044/2209",
      "631888916833187549863457130/103823"
    ],
    [
      "446372166148828304/5329",
      "295898203879196031025002090/389017"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE dujella/z6old678.html#pre123 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:14",
  "updated_at": "2026-10-17 10:21:14"
}