{
  "id": 5540,
  "curve_key": "36210894840277201082236487476758229006664744932826049616:-193805669258305448282094157372264630462283857557360551381287898273040968417972937664",
  "ainvs": [
    "0",
    "1",
    "0",
    "-754393642505775022546593489099129770972182186100542700",
    "224312117197112787363534904114582478496088716509191697361965884528995947709510000"
  ],
  "rank_lower_bound": 30,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 383.78686517300605,
  "faltings_height": 29.96111867559473,
  "conductor": "542753340477481206662442076086222623804995483474041572187681148973270666756672402205343912589770599210963386344005343132032418419720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "19",
    "37",
    "59",
    "61",
    "71",
    "57089",
    "107970181507",
    "21843783571883337501985987056012574776931755825751880538802743715755508685212937964849630787001354665913"
  ],
  "discriminant": "5740818610338788286183894247268574859345326307160457549527157565016929350890431917214459387493016464463908379714564668616733022605923574999080437499129592500000000",
  "regulator": "145851285752866825834289676525742465.60325861277949150645791185272859443927531702742160657501219210",
  "points": [
    [
      "686953152007929754064565700",
      "-5500491045930698977560464792405150076900"
    ],
    [
      "354540269006344514605329850",
      "-1189318899350479009982055810929790432750"
    ],
    [
      "127833064536162161521607800",
      "-11400202783000459806784019569263941057700"
    ],
    [
      "700705312008781689056460100",
      "6304152459133738844687715075289795297500"
    ],
    [
      "181497450971341099798284190",
      "9662833979720925639627492865297691642610"
    ],
    [
      "355687313347357445420079475",
      "991515865737642502539080521385919630000"
    ],
    [
      "781342739798285868220593850",
      "-10577292265951359283637814018948255168750"
    ],
    [
      "86363978435465003517489475",
      "12641354638865092427034465205961018782500"
    ],
    [
      "355162964821618478685751975",
      "-1086255354516456227503051880298255363750"
    ],
    [
      "-247766745913855294210051100",
      "-19900145246966056093979369052594574701300"
    ],
    [
      "329308107117543434390038990",
      "-3405232290859443999099531736888225695810"
    ],
    [
      "1345231405244458915699113850",
      "-40544701159076120781069855449208915048750"
    ],
    [
      "3274023959587638873561132205/4",
      "99662204650429887905444537434424249904165/8"
    ],
    [
      "2687756596870496532287503525/4",
      "36474659803981397028806666830191038709375/8"
    ],
    [
      "-295940212757048698490966150",
      "-20534091361589802601281429474898753128750"
    ],
    [
      "41492926917717075699347024350/121",
      "3244510594508051647517099251724741914940250/1331"
    ],
    [
      "60552007715908715884845112900/169",
      "-246064001828941410258963935133606923185500/2197"
    ],
    [
      "-938009783071821673842866150",
      "-10325756105693178779563655658821305908750"
    ],
    [
      "-830594195278059406948471400",
      "16670068832693325344582392134379856203500"
    ],
    [
      "-816776123734494996366187400",
      "-17192803764725425882770175229829918862500"
    ],
    [
      "250337024820262066513620100",
      "-7151764437554842261627474934047858042500"
    ],
    [
      "705422541905723872220571850",
      "6571063891509876030691123795597046046750"
    ],
    [
      "1067848892801081073316132600",
      "-25227031870057252403745977475565650217500"
    ],
    [
      "3726206004627560383179945400/169",
      "31661929284053575498973478837070402065304500/2197"
    ],
    [
      "-1853357480701326837607424882600/8649",
      "15599721135055526679485035620838240541084217500/804357"
    ],
    [
      "3325370577236574307335082945/16",
      "-559770704197472218100112923202017109991305/64"
    ],
    [
      "3955792499004640319251619230350/6241",
      "-439400432362397316702574592215777778673918750/493039"
    ],
    [
      "13881554748284177617191993384100/52441",
      "-78900277248555607072728383698583239567130347500/12008989"
    ],
    [
      "100981848535766948674309196085017350/819047161",
      "270505315339823663861536160015446462446163709540988750/23440310700659"
    ],
    [
      "56726722748713760374300961699149/84100",
      "115292630320047590595938116084196925353075081493/24389000"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -6039/29548 of a rank-16 fibration of X1152 (two neighbour steps from the one in curve#3856).",
  "created_at": "2026-10-22 23:54:45",
  "updated_at": "2026-10-22 23:54:45"
}