{
  "id": 583,
  "curve_key": "1052708671082173966222805397402769154485921:-987971837458017532870313572997349484635522638054496084557017969",
  "ainvs": [
    "1",
    "0",
    "0",
    "-21931430647545290962975112445891024051790",
    "1143485922983816588968442719896673870007162534674064734751492"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 290.2798213049514,
  "faltings_height": 22.1558439255423,
  "conductor": "408151225931333636120101726342826073778668448086028074168154441438757841614211839980345370430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "37",
    "347",
    "5325577263031",
    "1282497921465413",
    "3947091299768911220094720296669177876224660861450987"
  ],
  "discriminant": "110253882580621611049080760317936376921573127670772185363721484560221377925783427364876272154621816087245038474950400000000",
  "regulator": "12739255083367364094549997.914991917461565973396740198069693185741293551712307818336021",
  "points": [
    [
      "174676152917169008174",
      "1625504403226161947314238700038"
    ],
    [
      "8666603840379940304",
      "976762944990501782510269247918"
    ],
    [
      "3788004935097009465316/9",
      "220132750353654702461867665938526/27"
    ],
    [
      "64206263523978338924",
      "6119713920068774410321477538"
    ],
    [
      "121903151465897222204",
      "530567961831616231114958718818"
    ],
    [
      "-168719751676699488196",
      "202274999807545092267957784418"
    ],
    [
      "-133194199109209895926",
      "1304479836762492293667251008688"
    ],
    [
      "183462054512881018372",
      "-1815193140168223374902848526270"
    ],
    [
      "15587762077076525736824",
      "-1946059512470458812276147717873562"
    ],
    [
      "298018044904806304004",
      "-4590852155220567267583000296382"
    ],
    [
      "-83200918678799230666",
      "-1546690549048264531190919599452"
    ],
    [
      "557493668216962808114",
      "12735204464937577409515790874278"
    ],
    [
      "3361797620156551967174",
      "-194734142541785801561478612167962"
    ],
    [
      "807347717303703393458",
      "22575978003884722933462636149926"
    ],
    [
      "147505961183914041404",
      "-1057310330547570316754497869982"
    ],
    [
      "-102248274266274434996",
      "1522156642880349241063174249618"
    ],
    [
      "284440404914867842424",
      "-4233005332293655939527053975962"
    ],
    [
      "63939011224839771674",
      "51060909739519942355101308038"
    ],
    [
      "501025975076474437151/4",
      "4810685771344606134052555139809/8"
    ],
    [
      "37500314079828947924",
      "611380475230711754694473146538"
    ],
    [
      "2043374600000789232709/16",
      "41751244617885965738343522117157/64"
    ],
    [
      "291088825010618060924",
      "4407293364917495585444794669538"
    ],
    [
      "-51955046611520439076",
      "-1463793281577212241007978630462"
    ],
    [
      "176240653403153771644",
      "-1659049814772383940865574938142"
    ]
  ],
  "submitter": "FNacc",
  "history": [],
  "commentary": "Specialization t=-27/79 of the Elkies fibration",
  "created_at": "2026-09-04 22:33:49",
  "updated_at": "2026-09-04 22:33:49"
}