{
  "id": 2186,
  "curve_key": "3447052736651922448372045669012619717761:-202382003696354652709068467778412038266063352029179497282241",
  "ainvs": [
    "1",
    "0",
    "0",
    "-71813598680248384341084284771096244120",
    "234238430204114181370252185964622864112853337413958990400"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8,
    2
  ],
  "naive_height": 273.11501464042584,
  "faltings_height": 20.175658113740177,
  "conductor": "13009810086729290992290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "37",
    "41",
    "61",
    "82207",
    "87697",
    "92863"
  ],
  "discriminant": "30141830225172216740152510329492050833160247441532470935014105187061096434307850380356942141856153600000000",
  "regulator": "648535.18215260367820925454406977072541214509",
  "points": [
    [
      "-7598178717919023024",
      "-18472425486358616520979672728"
    ],
    [
      "33107518580292000780450278609381760/14540188262786209",
      "15927641392698942846938889124910803029530512142688360/1753295202855635392342927"
    ],
    [
      "7169614805036899134023153141153196990357085683379828079536284782724510447167404998785943150358684964695631101220588376852024665148311485010003860968019856902280419518976437129290556590850089313845905282923159362906272145175547483113113434925455756281408466044338573822926291239208328847688535383453315074754703503870640/1465359420784521666593500820186204902125635491276180880963545711302043111411259819241169254910223808848889344495128879930179197148977231505337456585096880170139704564540736082118825425137138526515935888308875853360197443623012513977237432276380370788511664976968599329069550249184249712258350070642441",
      "19051956978166304106636802088573262331706506956418638803175373798556054649348985168693779338395235722904756284015499488031502683118919663470431161407332137187392725048764386690185043801909176315114878304901822975091839245263866757314049094445831863647075924599883755663792503434157502890358923060353677352313056482590085663504087943683812759287294776392715727203942616363548265111224826270514490852966164516961806584087137112284509501589805618445202272808534774622659622920/1773847340225989184102723728772942402900199513803075093987876252175123264698561137394357540918127507323976256544741489648744105911018442006995904686890599231975654318272238013197969903824088190545915378633831874382204500133419698516514042948690030046152357181320303410975906192377697645691396346590434092119917768862526923404926749336715099054169544666172146667440727804515415014025670218232007675920182529293676086193703390984841249073895986347173989"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": "Found by Rathbun (2022)",
  "created_at": "2026-09-26 17:39:51",
  "updated_at": "2026-09-26 17:39:51"
}