{
  "id": 2794,
  "curve_key": "4967508906894159013491816765218209682173604161:-368773481646464112652219128038151021209414308975504810940024049999841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-103489768893628312781079515942046035045283420",
    "426821159313037167421541292563415138855201471354579842159144432400"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    9
  ],
  "naive_height": 315.76159744454975,
  "faltings_height": 24.25282605190682,
  "conductor": "130072996979244993654288816690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "43",
    "61",
    "73",
    "97",
    "113",
    "151",
    "1259",
    "369698741"
  ],
  "discriminant": "-7763259248572861510949432934022353005457556927635912944415747374752566852847219473763437205111589313874795675798686863720448000000000",
  "regulator": "431223.3370991926849619775429309323680636326802",
  "points": [
    [
      "1563683920360890813240",
      "518477817173214637679530413217380"
    ],
    [
      "5716354371461648217240",
      "148420366242656390066279644033380"
    ],
    [
      "-9905539577978170473198600/841",
      "-2646465614513059707012797361777715980/24389"
    ],
    [
      "1219178860627460026852681950815908753765324224383160/245788008683078423834063276809",
      "22967960388834830874332165756264979800484360179891154079943260243716421393740/121854349765708325351503977114537620910068123"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2026). Source: https://dujella.github.io/tors/z9.html (curve entry 7). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:22:45",
  "updated_at": "2026-09-26 20:22:45"
}