{
  "id": 4037,
  "curve_key": "808509788350235729337010177371868096:-727970637156975218633717588665191256452499413155210240",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-16843953923963244361187712028580585",
    "842558607820573175329602220794682444993704256234281"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 248.044200913008,
  "faltings_height": 18.454786885977747,
  "conductor": "233759478745101640748824952392657776103231094567203892525763394862296766938329605136863045952",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "29",
    "1055437",
    "359326973",
    "500905264352731525025417650969814937290482225110302754911695498928574359"
  ],
  "discriminant": "-826411508433378236525114214034232450473350149460156595910161028757691683945826272801129996731096690688",
  "regulator": "57495586822515554379715697.356032909468870415823837728310818877833613987182334178392198",
  "points": [
    [
      "4068256307675711971/49",
      "1388858404524387886796579144/343"
    ],
    [
      "69663013578037648",
      "-2688517399034418938633467"
    ],
    [
      "-82361957218435675",
      "-40879798711087821127365216"
    ],
    [
      "4154427384665089911473/22201",
      "-215479761049578357324763044201408/3307949"
    ],
    [
      "124548457676130851",
      "26013562728948483504214464"
    ],
    [
      "-149884427824056703",
      "-10807909463980173335880"
    ],
    [
      "303608820773667613/4",
      "9291551512576793049643625/8"
    ],
    [
      "430532269543878317995/4761",
      "2520133971723236132265514002256/328509"
    ],
    [
      "627493396000722775/9",
      "71919490573198214054219332/27"
    ],
    [
      "759240996904571029/9",
      "-126527023528475642067828248/27"
    ],
    [
      "-144628401921758587",
      "-15919368044996202868864848"
    ],
    [
      "215009107350246273",
      "-84620287908252147876923592"
    ],
    [
      "61810298278363160",
      "6129913380054402148572009"
    ],
    [
      "31458434349407349/4",
      "213252743262400708314051867/8"
    ],
    [
      "1473581585691506981/25",
      "922869709785173712611020296/125"
    ],
    [
      "692137503086432173/9",
      "38363773211939376761384240/27"
    ],
    [
      "3879661237962192851",
      "7637490915318547968209053464"
    ],
    [
      "-3479172204841777381/25",
      "2770873342502408780250121128/125"
    ],
    [
      "-74463349790539178434592130455/548709081001",
      "10195396551841014209462204470660004538551416/406455703042409749"
    ],
    [
      "-158696659071465659387556093187/1428328546129",
      "62545013280588008455811759839824380556374760/1707034010349513383"
    ],
    [
      "-11853638129337730666560335/114768369",
      "47308186626685933447540168496378787752/1229513537097"
    ],
    [
      "-16256666663813236325871103511/157659025969",
      "-2410783917994646571528904088179388416656928/62600565828329047"
    ],
    [
      "-6093834786799912554073859056/69626849161",
      "-745463612300289246263734442286786925547847/18372367061263909"
    ],
    [
      "-50313549039569993384872617528594239107/2948736305491038025681",
      "-5370679476632417736101112547255958093748457560179631431448/160123069001206029943587985455079"
    ]
  ],
  "submitter": "7fff-zip",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "7fff-zip",
      "at": "2026-10-06 18:50:38"
    }
  ],
  "commentary": "X1152, T = -265/619",
  "created_at": "2026-10-06 18:45:40",
  "updated_at": "2026-10-06 18:50:37"
}