{
  "id": 6,
  "curve_key": "99060417659838065797138894929:-28372591693416053205010168210864323950230233",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2063758701246626370773726978",
    "32838647793306133075103747085833809114881"
  ],
  "rank_lower_bound": 19,
  "naive_height": 200.29658236266417,
  "faltings_height": 14.659918914754519,
  "conductor": "137377583765207564914008156149740232282282540648823380362307893110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "19",
    "29",
    "181",
    "73589",
    "2898174137",
    "383763976916891263992296397076513746514499"
  ],
  "discriminant": "96685523963347486558024309539021902393781074235837540884094505729945198887508377600",
  "regulator": "1315117024670475573.773781834878564837945549161259425446399714968525744103236",
  "points": [
    [
      "-30987785091199",
      "258909576181697016447"
    ],
    [
      "-28889517303967",
      "261435145473088184895"
    ],
    [
      "-71487320458034575/7921",
      "158780942822372481268517943/704969"
    ],
    [
      "-5811612460699807/2401",
      "22879566180834025272238959/117649"
    ],
    [
      "13824498650633",
      "83368523385975203271"
    ],
    [
      "761787717625797737/51529",
      "-872181661081924408957800795/11697083"
    ],
    [
      "-6768903225745",
      "-215633697068279328993"
    ],
    [
      "-26753594302623",
      "-262493028566521557409"
    ],
    [
      "-43702888408807",
      "-198899103401955431409"
    ],
    [
      "-3473544815195797742755/66896041",
      "-720367355474239205275292698047/547142719339"
    ],
    [
      "-4844597663662106466271/94965025",
      "67726534118909683241734294312143/925434168625"
    ],
    [
      "-50527110390373",
      "90106963524511847991"
    ],
    [
      "-45015432587775",
      "185797905595910416127"
    ],
    [
      "-385165144189",
      "-183394325158424667243"
    ],
    [
      "12603290965505",
      "93970415796904223487"
    ],
    [
      "-17345672207357056815/421201",
      "-59881991231482114022330423257/273359449"
    ],
    [
      "19374570094625",
      "-11265860759711920353"
    ],
    [
      "-1148870915488663/169",
      "-474033106804620147824853/2197"
    ],
    [
      "-124803550432849879/32041",
      "1158739203591364356910897749/5735339"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Fermigier (1992). A historical rank ≥ 19 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:47",
  "updated_at": "2026-07-01 22:30:43"
}