{
  "id": 6143,
  "curve_key": "99765452814488921867272663561260210248521:-25578499818271547688394885573009023084736463745516131329866181",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2078446933635185872234847157526254380178",
    "29604745160036513528061617353920474192055040220109075248256"
  ],
  "rank_lower_bound": 26,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 283.2109217579192,
  "faltings_height": 21.606532393060203,
  "conductor": "94723048711303534447382787478290910035652490511320507248178641037488078215345993224622821442802543530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "31",
    "37",
    "41",
    "97",
    "3169",
    "1379237",
    "1921489636149827533851636901",
    "7449777582665029946734281164909206849582730679102311"
  ],
  "discriminant": "196018762901053233650229042023956030226492015958905631394883592126144341887315877665567848269534581637341863429556312500",
  "regulator": "8578468509563857791172096002.77818691081862880102311297083253079315634640932225626983162995",
  "points": [
    [
      "255245491764013445681726934781151335593517195/1790622160505133625783129",
      "-3885650314612979912217715128162278592015875114792035016352387435551/2396105480212371976462350200364056867"
    ],
    [
      "429665302916627658691955/3721",
      "-261690454046773779422299495393265793/226981"
    ],
    [
      "-31633975033644153340",
      "-252384428528191365004629402408"
    ],
    [
      "167427849574081943180",
      "2091642063924074181347645151147"
    ],
    [
      "882948110907589663044245105/8473921",
      "-23970402477178346554002052408008621943443/24667584031"
    ],
    [
      "274481147258930342005655/2116",
      "-135666880156601021389551653986516233/97336"
    ],
    [
      "36329756907578124455",
      "-45223311582305146707617302353"
    ],
    [
      "-50331280859984093545",
      "81942276483713261027165889897"
    ],
    [
      "5159162922653048311826210/27889",
      "-11385213339464772648704100645996180969/4657463"
    ],
    [
      "2009832997763660782580",
      "90080127244016521345022155873272"
    ],
    [
      "3013271470109769005606795/6724",
      "-5204397832469616308977841674455785529/551368"
    ],
    [
      "-4746835539055430200369/100",
      "145970475296225476675091973933141/1000"
    ],
    [
      "286597003250749364455",
      "-4793160495191556606330581142103"
    ],
    [
      "158205012718523609659745/12544",
      "103216403138516326071732088017950841/1404928"
    ],
    [
      "195568128317857696555795/2209",
      "76259466981298620908728738680895231/103823"
    ],
    [
      "141681521351770629640595/49",
      "53323186404177731914885843796315421/343"
    ],
    [
      "394061948541256658452710190091787155/558203894542921",
      "-246863895050447702861383989571882965355005760325665557/13188314443591301596219"
    ],
    [
      "28169913525169581095/4",
      "-990082335339449017218277280199/8"
    ],
    [
      "15140909621878740215",
      "-40077154036599968053998886113"
    ],
    [
      "22622878930366114385450/121",
      "3307913025265953053123647777536987/1331"
    ],
    [
      "605248001457249479513/49",
      "-26158864690872833102216845197471/343"
    ],
    [
      "940003283616788801806835/1444",
      "909179857964903755752156157349662089/54872"
    ],
    [
      "-13878801534428232724870/961",
      "-7088101448080870282661856369328473/29791"
    ],
    [
      "4137670983337321547545/49",
      "231673895551448043325635933095921/343"
    ],
    [
      "303582356124369940337345/1369",
      "-163927520532597532296081903403234509/50653"
    ],
    [
      "-274082632951665521169881951270058310740338897382383359601058280059274128369805/5927733889962047232565644221689919874111453343887083192041",
      "74792020254334914644746484402061804526122886781074841187301470810819176479549243178784016041313459970614594646541627/456386772097881160834178614867992456700707936148772785227021138135387930070568949398411"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-29 13:55:55"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-29 13:47:52",
  "updated_at": "2026-10-29 13:55:55"
}