{
  "id": 1948,
  "curve_key": "20708738684498778165515176267494240961:-95440645903433851204438559539865290506361781702475653665",
  "ainvs": [
    "1",
    "0",
    "0",
    "-431432055927057878448232838906130020",
    "110463710536381772191406772584626300067232658913465616"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 257.79619913416775,
  "faltings_height": 19.35810476771733,
  "conductor": "47909354509412505668949498397566458128452979974860964506312503749966917599016167381435480767198",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "31",
    "3750768886290719",
    "12158158910567319383",
    "39498737793812616698480401843431472446539516896161578413"
  ],
  "discriminant": "-131907309486454758953700837219290156622694687361338597681167893142201231432396916366248466127641000812085248",
  "regulator": "95745045749307430797114937.627072354038116370195578349788623304594598172154097078367293",
  "points": [
    [
      "1560971227104659488538917835036378994473004232/2762455174596318318305701969",
      "31510956059918198719258490312839039221952285247187513803472640883452/145192057426292012585591376486802020788953"
    ],
    [
      "7703250463416900664/9",
      "16384190082608218270238886692/27"
    ],
    [
      "2835347716049102344/9",
      "2058618817696936523552340916/27"
    ],
    [
      "-306222228092200382",
      "462452926381432534635192328"
    ],
    [
      "-8689065266580650",
      "-337952357296588554271338254"
    ],
    [
      "731469283215282507886/2209",
      "6492803521508043514372640587208/103823"
    ],
    [
      "392810768634132040",
      "-40042133756525503051326116"
    ],
    [
      "478186211915938198",
      "116197637748741441077462194"
    ],
    [
      "36166073535218706091/100",
      "-41669570683380090838890740141/1000"
    ],
    [
      "17659212577521894856/49",
      "14502130598414297884482812740/343"
    ],
    [
      "10858989274378757064/25",
      "8853779404636938934894686252/125"
    ],
    [
      "11429315650240837996",
      "38576968423686765670732908808"
    ],
    [
      "1172579220340258561689024/1620529",
      "-868221089714424025239071194265345988/2062933417"
    ],
    [
      "42737406680314726344/25",
      "-261268708403346333098877190932/125"
    ],
    [
      "3817469596934274153232/18769",
      "-453665522777372780742006424153348/2571353"
    ],
    [
      "336836071612726102728/529",
      "3728605941616522643476662402948/12167"
    ],
    [
      "18267775883946975304/49",
      "-13003972229433228812875671356/343"
    ],
    [
      "224132089732849810694445797525350521319/13944627696522641937316",
      "529847310406304622815342676894817812043868475812114100919585/1646684454181315665089582833716136"
    ],
    [
      "1246276520755096094762777492628021954015477288754552104072/4636374369157327849287593196076497190369",
      "37240794803419260697396721961511691327986578764657257316707366176491458010153030569692/315695029717192982210010294907148346184830690966571918915153"
    ],
    [
      "473468078509249418661412246173211404423197497071578254381175539708052870188888/3331413673020431710754134653137455776891383076882063185726809",
      "1386822608332164369609527324972564405938266039852364589818595513789684085315672559297922070765071947605318708058178468/6080549745197662107760593031114564667482127982397334849606335986947005269652213127989550627"
    ],
    [
      "6528915534318157532124496859295431724923321596535009927046293789892196041496/17604889709033157261997382035178025555194941634742336010801",
      "89555160499402421050761799930362127830428337614343651950510740877305670593082641590315276162350762773027649407804/2335876959802436924110220635629433325427190374514025906815433008387685803735319941275049"
    ],
    [
      "147826935861183358773202930456909770496134452240442681649680084532/358777035404126138275983295535651048046386466889",
      "11063866290925667447588634128931398114902068957241118399202604025600326635290870853076012968004732/214900267170149227082608860606600972138347364681495048797952860435158213"
    ],
    [
      "61667435800231972729412828730255486403331673527258953/180788359985233501482621630095431936",
      "4202403316539193496587438755456756545584083948663431863445119313901647632752253/76869790533936529847671917548035203779614661664034816"
    ],
    [
      "788609778713705453908541599040263231527320469677164252529426225244853111074006421033957373511229476677663248358193470520968794119872651897231584/2197007267995690898537669137771974934657369801319146257834360719956856361650016624237582792493642835970376985059323205293930625",
      "140075426762331804680541988903533469943458037560704311212765916084565507974401204303372819837291360995860397988319440885970307124420142277632525879722296770795470574782830560940795363081531254902765397947786689665348/3256471190879661408140876918162745384472685752118805152551019459041698811838464308547849561227158547476439695820325423388058301699144770292957553363106413904255959001113708892201773279890625"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 20:03:18"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 20:01:22",
  "updated_at": "2026-09-25 20:03:18"
}