{
  "id": 1990,
  "curve_key": "2760200710147119181512225625354923297978001:-4630628686632478284541505164386201174092411081628125696065262905",
  "ainvs": [
    "1",
    "0",
    "0",
    "-57504181461398316281504700528227568707875",
    "5359523942861664681177505628843727425139054100914459850831361"
  ],
  "rank_lower_bound": 26,
  "torsion": [],
  "naive_height": 293.1911070059096,
  "faltings_height": 22.296253443872477,
  "conductor": "45059046881492692973934369851657048339905118440376515737436574652340455125696895046568907070010708077314",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "17",
    "19",
    "29",
    "53",
    "52667",
    "2008536565073931521880979450174701677063857076066615910015272459713526406622844877149378549"
  ],
  "discriminant": "-239328073523887200927490570021656437165276525088303649123289308546184571546309258443184220461817195008038871571288321425408",
  "regulator": "22135589767130352949646685249.3176477050721761910055757483383142980025375652033975160095473",
  "points": [
    [
      "339169992089560117828770658929779640228471950/2184570296687501464515601",
      "-1346969554733490393359890077994280208869818739284120959009619008031/3228858673645670425997000039507497849"
    ],
    [
      "1038423270950990889834420651488218403/7003635483051076",
      "-178683086705825914380059428826547798473770766217396611/586118327309456092293176"
    ],
    [
      "-262651043507347554274",
      "-1530988272233047231477111897447"
    ],
    [
      "2089377906432464258990",
      "94902006738458317705480032923561"
    ],
    [
      "466662690896565187106",
      "8952737013267467072360967959153"
    ],
    [
      "13477778830229452524626",
      "1564441080202292179276954288497821"
    ],
    [
      "156024306562375794339593/64",
      "-61342043495375851229760253617900407/512"
    ],
    [
      "8136392797252288750",
      "-2211828648754582330230635234519"
    ],
    [
      "115734107003749122539590/841",
      "5573491537547788588233160106320661/24389"
    ],
    [
      "70235320220785313918",
      "-1291189448969733430458881848327"
    ],
    [
      "3514276301013692264114/25",
      "-28997754902681103124032113058023/125"
    ],
    [
      "214272054610787077670",
      "1695804649084958873063549663009"
    ],
    [
      "5304731013116394320542/9",
      "358433466648988028363177315517011/27"
    ],
    [
      "128626042091279227694",
      "301765877129458289574093118505"
    ],
    [
      "128801833513707732416",
      "-299484657642257508365772034369"
    ],
    [
      "-1966654292877593024114/9",
      "-73898344854695848261916261634125/27"
    ],
    [
      "7115698663550343287005321786222/42579084409",
      "5672714767295369784262155912647620341378103099/8786066330543923"
    ],
    [
      "5626123856628045608074545235606560109461507168083987230/30543193522827740287037941265776969",
      "5383602837290261885297906652901902048563312681059282185610259010618382013246115827/5337915146775446028906286807021972244493885311670203"
    ],
    [
      "93982503070864278538624868605966277023841209432566950842678226472791036/1149408693246457589821591734855454552971192301094401",
      "42764069506743838466356958117593286170740323158814750383934722400195516955783961314203188119738334630677511/38968322988284455143816848388482414820080856076138455765249927986188743620351"
    ],
    [
      "128206652898228510376363502180734049716614200417331062/1534834152389466104380888016463001",
      "64172227544544999488108114004293098231708844105475509153811297992528299438401899/60130135363223259471445388987877403940198190413251"
    ],
    [
      "190018714525570935608148048503859692040217040519390/2958935687740950426803590666969",
      "7073811330340026596333211880932193372020938641354515195843007824405369038597/5089830136934013193747033993719239441389184797"
    ],
    [
      "42628770257137770459353995747454/658154145289",
      "737278253161138735737348784243583855165531511443/533938738986171163"
    ],
    [
      "-252285108545571522916794573098481177050362987701226451051263922214398448327589899467521108/950327620758113092012226127498573230377906934535963193376698175459641",
      "40552386414268954805845069810347442880339348033265648010259349750198893488540188146684592979014339780172960580893911843888300779535899/29296114744852016926402433784888349036915704322044465385785509312192180210324771803274991731612194257811"
    ],
    [
      "829805614172045361974367634622407419842186221899314034296475372963406162820643265967/5127588931864449873890267307459651193721497022739561029769432964",
      "198345155653213355852376957357580572452134859781256331212885086947308186700836963021265954610889310549550436912701021798839407/367172208826927861260241707883387010446748301872048031987640063354132078935764335899430212109688"
    ],
    [
      "2200804996054086483735458809571323243697481643717385575393283794/13457722933723509153530295383738174671665361",
      "28321903433646497812786495890900091898017319190330746389741011481790524275512277013215522075061/49369346016915035592032868062299300980281522176970673352504415641"
    ],
    [
      "797775437622541698528350241084242169718321188179256753783150085101256304224969801535486/7147584250732466350780792711856188815327258797596512327264009660841",
      "11005386636320746576433710157969934957515575129170893662050714724437910104866293895532200141633627620305291008612149562728491104611/19109042433857815548244071389057019366709592645949145679909641055336025657352683076066553274429765611"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-25 23:06:21",
  "updated_at": "2026-09-25 23:06:21"
}