{
  "id": 1947,
  "curve_key": "1171966706053497276861391810001584576:-1253513054393687284985425040350470597627791294456944000",
  "ainvs": [
    "0",
    "1",
    "0",
    "-24415973042781193267945662708366345",
    "1450825294437138053187065745404498769050278280610459"
  ],
  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 249.15523989219832,
  "faltings_height": 18.63610410484667,
  "conductor": "523832720760204224204548552141118029432596158843283960416115025548270797255410232950879833096",
  "bad_primes": [
    "2",
    "3",
    "23",
    "29",
    "101",
    "439629499",
    "4885085939",
    "997438367837",
    "2653476831028242689479014521",
    "56999857438998409551342734921"
  ],
  "discriminant": "22227012885053665936724361810204198861381409281078849100131190434836166151517275780969709604465156494592",
  "regulator": "9894428992975664853176228.23854557360273943606153119048802567739821817706868198841484",
  "points": [
    [
      "3211349433146408989294791/2307361",
      "-5719989174033418842157217842835549814/3504881359"
    ],
    [
      "-144080174846949056574679428648226394374733163/910514571931468496332423801",
      "1010254768775386245423283583510588085045038729316200916327777113646/27474535010563183119883477779331526105549"
    ],
    [
      "36345505769635338597/361",
      "24886537931028224179195023294/6859"
    ],
    [
      "117264332469065115",
      "-14149042332249263813149878"
    ],
    [
      "177793234017772815",
      "-52248940526555050028495622"
    ],
    [
      "-45508227504404670579/841",
      "-1246842699083637971174388145194/24389"
    ],
    [
      "-254845755923505190677/1681",
      "2814785978147522688911806793670/68921"
    ],
    [
      "109952773408115319",
      "9772806840956366423823882"
    ],
    [
      "3317942253178218783",
      "-6037119037762292857278960090"
    ],
    [
      "-210567834954924528296841/1315609",
      "53534048979369635155146937038840558/1509003523"
    ],
    [
      "-51059407689360609",
      "50639661509259130328785446"
    ],
    [
      "-169825253593581601",
      "26446342911974574500740698"
    ],
    [
      "-1843207449765652923/121",
      "56770261517405387044255614174/1331"
    ],
    [
      "8700306167700099966/25",
      "23419546187699322153896825439/125"
    ],
    [
      "44676517203451515",
      "-21193833760432208648586378"
    ],
    [
      "112282889573777119581/1369",
      "4060855145358700514741003994/50653"
    ],
    [
      "243118927821521543374988499/7370050801",
      "16514877123223752897091873650200684418198/632711491215049"
    ],
    [
      "-10565839608150396632450003148288331049417528203132743541933353527575093769745654601858086126626983299/66235641031103924351061185987019178549811855282352721560330558304713856707462369025",
      "611416814217361725255418911330662285146190784386655155158404775080459270310592812261804951641529197584435145335180156395752297457944723220610696798874/17046593922674134577887965153993886935907932382158248166885224806539607807347265105470018343136925824195356542439838732842625"
    ],
    [
      "-11316567443910904122934801/62805625",
      "268681260354739176880540774550258082/497734578125"
    ],
    [
      "245974426190032485140464265025156562664436412324954157049/3134718006608421350561498376602864272144",
      "746667764986662715075324515601683173937778544352733191198554792643527480671734590187/175508323561484964009360495594766264115919431691947118897728"
    ],
    [
      "3486183970895082438669874029287100957438114109/43884829413325377732834971001",
      "32564083071159271141530948270301195688495784422608857462933398125958/9193304008233021556283984740624920182168499"
    ],
    [
      "31772367701095785805536064854/495316141369",
      "4249237386919758183792586200717398933955363/348597061185664403"
    ],
    [
      "6170242668957262395514640679995308747528558232208089235468988652020895814/77515559039257711759428666606115647996149184513383840881",
      "2331598848327083259541648996241681326033741960035355352032063032758698662585925311289230792011857354752686103/682469622567079789470496948816281282778687202749214237770797398448653309453936788471"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 20:03:41"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 20:01:20",
  "updated_at": "2026-09-25 20:03:41"
}