{
  "id": 10,
  "curve_key": "5761911457775627774569661721176006225929:-435650393506962818897975621667886917582013897958359471999333",
  "ainvs": [
    "1",
    "0",
    "1",
    "-120039822036992245303534619191166796374",
    "504224992484910670010801799168082726759443756222911415116"
  ],
  "rank_lower_bound": 24,
  "naive_height": 274.6562636902012,
  "faltings_height": 20.714078599997542,
  "conductor": "325763846420202806803685538805031963849862314963649942610049440603050996133862755155678267754410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "29",
    "31",
    "41",
    "458619970494582607679296750333015081",
    "264240973182971699094661154229360236070105974082503"
  ],
  "discriminant": "869228312577660772590804276974894693796770087691229179004716529760427780748163030521421801352204521776094281605900",
  "regulator": "104899016884108750894133329.51301636361085332121321081420962914892371133491485632339948",
  "points": [
    [
      "2005024558054813068",
      "-16480371588343085108234888252"
    ],
    [
      "-4690836759490453344",
      "-31049883525785801514744524804"
    ],
    [
      "4700156326649806635",
      "-6622116250158424945781859743"
    ],
    [
      "6785546256295273860",
      "-1456180928830978521107520473"
    ],
    [
      "6823803569166584943",
      "-1685950735477175947351774817"
    ],
    [
      "7788809602110240789",
      "-6462981622972389783453855713"
    ],
    [
      "27385442304350994620556",
      "4531892554281655472841805111276996"
    ],
    [
      "54284682060285253719/4",
      "-296608788157989016192182090427/8"
    ],
    [
      "-94200235260395075139/25",
      "-3756324603619419619213452459781/125"
    ],
    [
      "-3463661055331841724647/576",
      "-439033541391867690041114047287793/13824"
    ],
    [
      "-6684065934033506970637/676",
      "-473072253066190669804172657192457/17576"
    ],
    [
      "-956077386192640344198/2209",
      "-2448326762443096987265907469107661/103823"
    ],
    [
      "-27067471797013364392578/2809",
      "-4120976168445115434193886851218259/148877"
    ],
    [
      "-25538866857137199063309/3721",
      "-7194962289937471269967128729589169/226981"
    ],
    [
      "-1026325011760259051894331/108241",
      "-1000895294067489857736110963003267773/35611289"
    ],
    [
      "9351361230729481250627334/1366561",
      "-2869749605748635777475372339306204832/1597509809"
    ],
    [
      "10100878635879432897339615/1423249",
      "-5304965776276966451066900941489387801/1697936057"
    ],
    [
      "11499655868211022625340735/17522596",
      "-1513435763341541188265230241426826478043/73349586856"
    ],
    [
      "110352253665081002517811734/21353641",
      "-461706833308406671405570254542647784288/98675175061"
    ],
    [
      "414280096426033094143668538257/285204544",
      "266642138924791310663963499787603019833872421/4816534339072"
    ],
    [
      "36101712290699828042930087436/4098432361",
      "-2995258855766764520463389153587111670142292/262377541318859"
    ],
    [
      "45442463408503524215460183165/5424617104",
      "-3716041581470144108721590695554670156388869/399533898943808"
    ],
    [
      "983886013344700707678587482584/141566320009",
      "-126615818387717930449161625960397605741940953/53264752602346277"
    ],
    [
      "1124614335716851053281176544216033/152487126016",
      "-37714203831317877163580088877209977295481388540127/59545612760743936"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Martin - McMillen (2000). A historical rank ≥ 24 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:53",
  "updated_at": "2026-07-02 01:49:27"
}