{
  "id": 7,
  "curve_key": "20692463076784016542001380602775969:-4455028991836780152445498634264721662716355492365297",
  "ainvs": [
    "1",
    "0",
    "0",
    "-431092980766333677958362095891166",
    "5156283555366643659035652799871176909391533088196"
  ],
  "rank_lower_bound": 20,
  "naive_height": 237.8517466226108,
  "faltings_height": 17.85023793381406,
  "conductor": "73813242020125452593092920037241715783942979322145629022774016712292126930",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "29",
    "53",
    "1759",
    "539449",
    "1884347",
    "78324820513",
    "388882789386500953248084998144029301891"
  ],
  "discriminant": "-6358347962741427332351207823555533236599280133229903044072065747055673142684922784840133195530240000",
  "regulator": "2975173777358668583558.17709962338365235667750391729197206924733709891658896356",
  "points": [
    [
      "1117677105220842826524/37249",
      "31530479477185489011505872316434/7189057"
    ],
    [
      "38095017214360176",
      "6634638907482675334232862"
    ],
    [
      "128263157005359747/4",
      "39438837388807975937649915/8"
    ],
    [
      "173541370721241727764/4489",
      "2045813113492578321709774985406/300763"
    ],
    [
      "114037038978699019879860444/2903808769",
      "1093029826650184196976652135696199191086/156477543135103"
    ],
    [
      "102579683196689625565576980/3236130769",
      "889405931520755349254783091883555261398/184093771056103"
    ],
    [
      "520590665688949735068/11881",
      "10865365165484759274005818215450/1295029"
    ],
    [
      "201537570874848579/4",
      "84414630327852273660698571/8"
    ],
    [
      "8566017671075667672/169",
      "23408663211165662031648247674/2197"
    ],
    [
      "84810811649507676",
      "24054695979596704444705362"
    ],
    [
      "-21830796739843140",
      "2040388505636168283880914"
    ],
    [
      "-2234086367006310516/121",
      "3476314228926730107073128678/1331"
    ],
    [
      "-398890292913112314601476/47513449",
      "936915725382816974616861962133589434/327510203957"
    ],
    [
      "-38850378311984740900/5041",
      "1013647136758546790991381788254/357911"
    ],
    [
      "410916153652874282067804/58874929",
      "712483344051989593825064319402912354/451747330217"
    ],
    [
      "3030869760973710007623516/266375041",
      "5708794986061809828924957672204713682/4347507044161"
    ],
    [
      "5668123803956059068/361",
      "10307638984731401904281889030/6859"
    ],
    [
      "-5809361085179727432048324/267289801",
      "9018279752358533631568966242553347738/4369920956549"
    ],
    [
      "-256381598399113962133604/10169721",
      "1315536690951996543879087852628778/32431240269"
    ],
    [
      "479228870284501996956/167281",
      "135888316201098799476616096547298/68417929"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Nagao (1993). A historical rank ≥ 20 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:48",
  "updated_at": "2026-07-01 22:30:39"
}