{
  "id": 5,
  "curve_key": "886944868209120642993258774976:-835305484263775961020203080226365178089867776",
  "ainvs": [
    "0",
    "1",
    "0",
    "-18478018087690013395692891145",
    "966788754934919721471057668405679651084743"
  ],
  "rank_lower_bound": 17,
  "naive_height": 206.87274282622377,
  "faltings_height": 14.806062691551183,
  "conductor": "142982366755806522511963024785618677537647778562138917247360",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "831851",
    "276884796725521287156064626403852388034812821"
  ],
  "discriminant": "-734320078819007341646140177726248140770988611740198639931331272725700464000000000",
  "regulator": "4806705005919007.18083185494710935314841121112705422150723975823444038217",
  "points": [
    [
      "987132393978079331954/12581209",
      "44155864801840452651790531875/44625548323"
    ],
    [
      "6360438106451911/81",
      "832408927123396980500/729"
    ],
    [
      "13270945713669554/169",
      "2555271033060881176965/2197"
    ],
    [
      "857729078027047559/10609",
      "39912099554742671720961420/1092727"
    ],
    [
      "79430124839906",
      "14615920705150940175"
    ],
    [
      "4607314783851323",
      "-312597047325749802318252"
    ],
    [
      "2573692194283109/4",
      "-127862522511653550016935/8"
    ],
    [
      "17056161852252119/49",
      "-2078193005890922295589500/343"
    ],
    [
      "4301027702330981171/52441",
      "-656366039306811393976716300/12008989"
    ],
    [
      "81650469905306",
      "-48961061265151525875"
    ],
    [
      "14515046737185390509/187489",
      "1323774083443035484317172500/81182737"
    ],
    [
      "951024572107238604431/12243001",
      "528074563286919141440933947500/42838260499"
    ],
    [
      "63250318746985598981/811801",
      "6402633724575591190797301500/731432701"
    ],
    [
      "383087327491229/4",
      "-2199020909677353716955/8"
    ],
    [
      "1738525538929581791/22201",
      "9310903033909158740238180/3307949"
    ],
    [
      "443811832334711",
      "-8954505736358951228460"
    ],
    [
      "4025605174011254909/27889",
      "-5324653812843602019420280500/4657463"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Nagao (1992). A historical rank ≥ 17 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:46",
  "updated_at": "2026-07-01 22:36:40"
}