{
  "id": 6150,
  "curve_key": "2105318951251072598967217557406779856:-3323107920577523160227126305321041280387661610002125504",
  "ainvs": [
    "0",
    "1",
    "0",
    "-43860811484397345811817032445974580",
    "3846189722890651791198162728952089915028190122177600"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 251.0809909747501,
  "faltings_height": 18.88547183614775,
  "conductor": "846891273458957535533514951019200697928811397787093226654378971382431761784216994895560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "89",
    "3868517",
    "409338772943",
    "73952597487411674503",
    "676459035407216902407707558643327567745619"
  ],
  "discriminant": "-990450313337065490121283900372453674149748578704576892265880356413537030086431819100678634244392700000000",
  "regulator": "3432759773313922264741756.7399851522647278850907900761119234488944298533818896350660563",
  "points": [
    [
      "24895155057631940659753582475072661232732935490/155346143698630893103095740041",
      "-1870139362507288064882749820250686725510305187115742025718612048729250/61228090471132084006948575437753844563239589"
    ],
    [
      "129437402024402190",
      "-18372799995152947371038550"
    ],
    [
      "6295434996284631010/49",
      "6247652390529448757345187450/343"
    ],
    [
      "16400300625534040020/49",
      "-56005128619923505696955736720/343"
    ],
    [
      "-244005346660796177",
      "4552280378853631046871066"
    ],
    [
      "-769171097974235030/9",
      "2254210735527098777304114470/27"
    ],
    [
      "-202813381084080860",
      "-66327762897138007365555000"
    ],
    [
      "1319541576610115950/9",
      "643020651309194743158269630/27"
    ],
    [
      "-133179478208332160",
      "85588407401675855785291800"
    ],
    [
      "82446496482645540",
      "-28114824230611710550865400"
    ],
    [
      "-219921920389106210",
      "-53436661111083133543446150"
    ],
    [
      "-326026360322780360765/2809",
      "12783822004668041757945661255200/148877"
    ],
    [
      "111318278247071140",
      "18523201404286342877607000"
    ],
    [
      "8227929611442225250/81",
      "-15273713656990543370885058790/729"
    ],
    [
      "361633613847846820",
      "187826200443089767761103320"
    ],
    [
      "178363038948240336625/1024",
      "-1265298355322612587860208640055/32768"
    ],
    [
      "17675649234222918217/144",
      "30513522080372936895037045837/1728"
    ],
    [
      "9340423852013059525/4",
      "-28435589197588998136981764495/8"
    ],
    [
      "1227150601682836948",
      "-1340890279110890260420565184"
    ],
    [
      "247324351736114560",
      "-90149925520885523692624680"
    ],
    [
      "5450603813517252668410/5329",
      "394620561299725130411824573968450/389017"
    ],
    [
      "-119568186995455985",
      "-85913530413161445678863250"
    ],
    [
      "14301807252888080590/121",
      "-23557147007411687211296197650/1331"
    ],
    [
      "38579751640182258217/64",
      "-226934459854897771173477805707/512"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-29 13:56:11"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-29 13:48:21",
  "updated_at": "2026-10-29 13:56:11"
}