{
  "id": 2797,
  "curve_key": "1123365786033987147965628125323427533921:-49023767923965306023197199633302637896743900332245081355281",
  "ainvs": [
    "1",
    "0",
    "0",
    "-23403453875708065582617252610904740290",
    "56740472134219104191564989530383862470828076555856412100"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    9
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  "naive_height": 270.27931108168116,
  "faltings_height": 20.536444412793056,
  "conductor": "25399371345088353798573570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "73",
    "149",
    "181",
    "557",
    "1051",
    "18472823"
  ],
  "discriminant": "-570426848100604268054783416422819302083521748807688110617055268069765526954261647878701913930305423413391000000000",
  "regulator": "2475716.173923679946255159015774688126898350682",
  "points": [
    [
      "1183994360874580962",
      "5539917734246665612825389372"
    ],
    [
      "-2124831061815491209344/625",
      "-153897336826049953226494844248254/15625"
    ],
    [
      "-25383574246817605139361514218789870/11541875487800641",
      "-12248431721078582644888104112139415756148879568434740/1239979705847820288430561"
    ],
    [
      "11039168903707688516615907465345318179937903715079971086630/254035585383892857719517730338266639041",
      "1153050961572815973856652265360603781222807961488616072729885712260634333824958537635010/4048944608766863824144593988025419443424110442121986160161"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Petricevic - Rathbun (2022). Source: https://dujella.github.io/tors/z9.html (curve entry 6). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:22:53",
  "updated_at": "2026-09-26 20:22:53"
}