{
  "id": 9,
  "curve_key": "924142387616352615747166301588085202681:-28240272628746949088231985451159095195284780253064738305421",
  "ainvs": [
    "1",
    "0",
    "1",
    "-19252966408674012828065964616418441723",
    "32685500727716376257923347071452044295907443056345614006"
  ],
  "rank_lower_bound": 23,
  "naive_height": 269.176198734463,
  "faltings_height": 20.268662842613764,
  "conductor": "113964706497998622564257410134352232583764612126645513242486361984405434455972952111271430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "199",
    "17858193374841750901974789649",
    "1006218106634655545344494448610726356220703995276273"
  ],
  "discriminant": "-4779639209650129827198370598581502977994781114856713955972654268540889198350896060545934759063721850651300750000",
  "regulator": "14314346672172296526006093.9515872795609689097642740408996297487603077991878415316140",
  "points": [
    [
      "16902136044621724275584661392595/119224493521",
      "-69455519784971993679807552308609739430858248812/41166906143372569"
    ],
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      "6647882272466103821634772046571/30891226081",
      "-17137023844710987140049387309945953892946213544/5429411004770479"
    ],
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      "1277229332035649706664846727592/2961427561",
      "1443380843339272397458721030742392016696304046/161157926442059"
    ],
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      "1754834771916476982132090651/369369961",
      "49412130720987886904443301152758710388796/7098921280459"
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      "902743031953703698667092998/307406089",
      "6538434104009303265024749952830709029353/5389750958437"
    ],
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      "103579510135061476534950819/45091225",
      "230697883363551870088729854504374414548/302787575875"
    ],
    [
      "31762044569407766003397375255/14054813809",
      "1411381089291349753164768808558921002947204/1666240341498377"
    ],
    [
      "29436984213667648723395/17956",
      "5657335012046240705357319452802233/2406104"
    ],
    [
      "1127027270330215920",
      "3523978127407100674110377602"
    ],
    [
      "686464244502821899711515/139129",
      "-394563651945882403580468873435105816/51895117"
    ],
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      "11962675953816366561795/1369",
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    ],
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      "30520680805402695175757355/3345241",
      "-151915114589061403100759698106532333112/6118445789"
    ],
    [
      "11449775538050756019357635316/967521025",
      "-1150775031908416918955115365651634494501651/30094741482625"
    ],
    [
      "4969418243982621661795591770/1285294201",
      "184569435055535326363669745422918052707327/46079082400051"
    ],
    [
      "480465113537612829840777315/160801",
      "-10531550647702714814852169224678207441368/64481201"
    ],
    [
      "97907154284679777917982542166035/57601436172721",
      "964874722537391293613786748114488474882993683572/437169613520472565481"
    ],
    [
      "249989354826313432718977195/4397409",
      "3941156276776007263792745630379334937996/9221366673"
    ],
    [
      "54840074123086507808388135/3996001",
      "387496978790653709721061294119215460988/7988005999"
    ],
    [
      "9690141319063801580189469420/87590881",
      "-953144078079942906360903670036536669593542/819763055279"
    ],
    [
      "882142442406602738753880/76729",
      "-775394556680837651292166377698874734/21253933"
    ],
    [
      "2812175950395226936581984/24025",
      "4712624271973109965160039085789391367/3723875"
    ],
    [
      "7126269737101017406079752337071371/2947180538019481",
      "83015454575998684006900205726968222686505350799684/159996363164349841378621"
    ],
    [
      "2143448685801212487450/841",
      "10099849221189668277354753748208/24389"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Martin - McMillen (1998). A historical rank ≥ 23 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:51",
  "updated_at": "2026-07-01 22:29:40"
}