{
  "id": 4384,
  "curve_key": "4456195005601610543073600:-9962247610309359898842304766770944000",
  "ainvs": [
    "0",
    "0",
    "0",
    "-92837395950033552980700",
    "11530379178598796179215630517096000"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 170.38373211521923,
  "faltings_height": 12.142672970976255,
  "conductor": "7205437693496481352981077600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "31",
    "37",
    "43",
    "79",
    "257",
    "263",
    "3323",
    "5237",
    "218357"
  ],
  "discriminant": "-6224947956321800094428646916287541945211569366157401151175888960000000",
  "regulator": "48434881061.691945984679811042814013404209887027788912568",
  "points": [
    [
      "-347348335452070/2209",
      "15483385310094705933900/103823"
    ],
    [
      "3624742658627840/41209",
      "532040277993637029420600/8365427"
    ],
    [
      "5318566365294786/22801",
      "174434782413109694756116/3442951"
    ],
    [
      "198705981829026305/824464",
      "42049755833271781505118975/748613312"
    ],
    [
      "2548167484946202365/15311569",
      "1573216410009811307846172075/59914169497"
    ],
    [
      "6243541952101899970/16818201",
      "11588127061894629663072880700/68971442301"
    ],
    [
      "12262989140149571456/58690921",
      "15925276226645880458078455704/449631145781"
    ],
    [
      "13756504304527640330/55905529",
      "25028941831041821350962563100/418005640333"
    ],
    [
      "19444379410941125505/30118144",
      "77647595341119524325939638975/165288374272"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/family_Z4.md#49 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:20:59",
  "updated_at": "2026-10-17 10:20:59"
}