Label |
Dimension |
Base field |
Base char. |
Simple |
Geom. simple |
Primitive |
Ordinary |
Almost ordinary |
Supersingular |
Princ. polarizable |
Jacobian |
L-polynomial |
Newton slopes |
Newton elevation |
$p$-rank |
$p$-corank |
Angle rank |
Angle corank |
$\mathbb{F}_q$ points on curve |
$\mathbb{F}_{q^k}$ points on curve |
$\mathbb{F}_q$ points on variety |
$\mathbb{F}_{q^k}$ points on variety |
Jacobians |
Hyperelliptic Jacobians |
Num. twists |
Max. twist degree |
End. degree |
Number fields |
Galois groups |
Isogeny factors |
2.113.au_hu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 202 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12774, 1440238, 162999230, 18424190894, 2081952194598, 235260514573598, 26584441421321854, 3004041937644030334, 339456739006692832614]$ |
$10692$ |
$[10692, 163074384, 2078117402724, 26576595037910016, 339453774534198324132, 4334524020387251682708816, 55347517591890807090007935108, 706732539181743077134797356089344, 9024267964146189270907578632205936516, 115230877652145860495234754899672879167824]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.9164096.3 |
$D_{4}$ |
simple |
2.113.au_hv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 203 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12776, 1440298, 163000020, 18424201694, 2081952408422, 235260517837838, 26584441457078884, 3004041938075338474, 339456739013214924536]$ |
$10693$ |
$[10693, 163100329, 2078203925716, 26576723825492281, 339453973518779345293, 4334524465559034023946256, 55347518359837658361891480637, 706732540132323753836364380752809, 9024267965441857012533276883965870484, 115230877654359828550674493677481414984249]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.784529424.1 |
$D_{4}$ |
simple |
2.113.au_hw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 204 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12778, 1440358, 163000806, 18424212294, 2081952617482, 235260521016958, 26584441491276798, 3004041938478087454, 339456739019280839178]$ |
$10694$ |
$[10694, 163126276, 2078290449926, 26576851960915856, 339454168818406439014, 4334524900812391527189316, 55347519107759135052719036006, 706732541041456202086729670758400, 9024267966651731839707169447016757734, 115230877656418944154233548502731122656196]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.976390400.1 |
$D_{4}$ |
simple |
2.113.au_hx |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 + x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12780, 1440418, 163001588, 18424222694, 2081952821790, 235260524111798, 26584441523944228, 3004041938852960194, 339456739024904787900]$ |
$10695$ |
$[10695, 163152225, 2078376975360, 26576979444185625, 339454360433080350975, 4334525326172307293798400, 55347519835852855933525884015, 706732541909901587637957665435625, 9024267967777865272754357332623866880, 115230877658328031447833918243959343980625]$ |
$150$ |
$150$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-451}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.b |
2.113.au_hy |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 206 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12782, 1440478, 163002366, 18424232894, 2081953021358, 235260527123198, 26584441555109758, 3004041939200635294, 339456739030100791022]$ |
$10696$ |
$[10696, 163178176, 2078463502024, 26577106275306496, 339454548362801851336, 4334525741663764431768256, 55347520544316439774261382344, 706732542738419800188143145369600, 9024267968822295854538751106399342536, 115230877660091849723582226973827900220096]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.20966400.11 |
$D_{4}$ |
simple |
2.113.au_hz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 207 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12784, 1440538, 163003140, 18424242894, 2081953216198, 235260530051998, 26584441584801924, 3004041939521787034, 339456739034882678064]$ |
$10697$ |
$[10697, 163204129, 2078550029924, 26577232454283401, 339454732607571734857, 4334526147311746055875216, 55347521233347505343845657673, 706732543527769453381410228926729, 9024267969787049150463064905072174116, 115230877661715093505239340410634445962849]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.1515566864.1 |
$D_{4}$ |
simple |
2.113.au_ia |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 208 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12786, 1440598, 163003910, 18424252694, 2081953406322, 235260532899038, 26584441613049214, 3004041939817085374, 339456739039264087986]$ |
$10698$ |
$[10698, 163230084, 2078636559066, 26577357981121296, 339454913167390821018, 4334526543141235287825156, 55347521903143671410227333002, 706732544278707884807911882113024, 9024267970674137748468810501471881034, 115230877663202392629689982313503197630724]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.1683355904.1 |
$D_{4}$ |
simple |
2.113.au_ib |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 209 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12788, 1440658, 163004676, 18424262294, 2081953591742, 235260535665158, 26584441639880068, 3004041940087195954, 339456739043258469428]$ |
$10699$ |
$[10699, 163256041, 2078723089456, 26577482855825161, 339455090042259954139, 4334526929177215256402176, 55347522553902556740442293211, 706732544991991156003829950050825, 9024267971485561259036291422758802864, 115230877664558312328412350832215573745321]$ |
$140$ |
$140$ |
$2$ |
$2$ |
$1$ |
4.0.1423825.2 |
$D_{4}$ |
simple |
2.113.au_ic |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 210 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12790, 1440718, 163005438, 18424271694, 2081953772470, 235260538351198, 26584441665322878, 3004041940332780094, 339456739046879080950]$ |
$10700$ |
$[10700, 163282000, 2078809621100, 26577607078400000, 339455263232180003500, 4334527305444669097618000, 55347523185821780100673493900, 706732545668374052451375718400000, 9024267972223306315184597127008636300, 115230877665787353308947734812694908050000]$ |
$252$ |
$252$ |
$2$ |
$2$ |
$1$ |
4.0.7817936.1 |
$D_{4}$ |
simple |
2.113.au_id |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 211 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12792, 1440778, 163006196, 18424280894, 2081953948518, 235260540957998, 26584441689405988, 3004041940554494794, 339456739050138991272]$ |
$10701$ |
$[10701, 163307961, 2078896154004, 26577730648850841, 339455432737151863461, 4334527671968579954862096, 55347523799098960256311818549, 706732546308610083578791013090025, 9024267972889346572471597243333976916, 115230877666893951836370130059213769919721]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.2151760400.1 |
$D_{4}$ |
simple |
2.113.au_ie |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 212 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12794, 1440838, 163006950, 18424289894, 2081954119898, 235260543486398, 26584441712157694, 3004041940752992734, 339456739053051079514]$ |
$10702$ |
$[10702, 163333924, 2078982688174, 26577853567182736, 339455598557176453582, 4334528028773930979052516, 55347524393931715972017989038, 706732546913451482760349846769664, 9024267973485642708993935880801102766, 115230877667882479814755855554447552801124]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.2296445184.1 |
$D_{4}$ |
simple |
2.113.au_if |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 213 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12796, 1440898, 163007700, 18424298694, 2081954286622, 235260545937238, 26584441733606244, 3004041940928922274, 339456739055628035436]$ |
$10703$ |
$[10703, 163359889, 2079069223616, 26577975833400761, 339455760692254718743, 4334528375885705328787456, 55347524970517666011785534567, 706732547483649207316360620421289, 9024267974014142425387026011476078784, 115230877668757244868653169638553874340449]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.152219249.1 |
$D_{4}$ |
simple |
2.113.au_ig |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 214 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12798, 1440958, 163008446, 18424307294, 2081954448702, 235260548311358, 26584441753779838, 3004041941082927454, 339456739057882359678]$ |
$10704$ |
$[10704, 163385856, 2079155760336, 26578097447510016, 339455919142387629264, 4334528713328886170497536, 55347525529054429139004824016, 706732548019952938513168888627200, 9024267974476780444825043933010465744, 115230877669522490424551886148513975005696]$ |
$312$ |
$312$ |
$2$ |
$2$ |
$1$ |
4.0.627200.2 |
$D_{4}$ |
simple |
2.113.au_ih |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 215 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12800, 1441018, 163009188, 18424315694, 2081954606150, 235260550609598, 26584441772706628, 3004041941215647994, 339456739059826364000]$ |
$10705$ |
$[10705, 163411825, 2079242298340, 26578218409515625, 339456073907576181025, 4334529041128456678598800, 55347526069739624116528166785, 706732548523111081563160697015625, 9024267974875478513020923816253485220, 115230877670182395792352990519029709020625]$ |
$68$ |
$68$ |
$2$ |
$2$ |
$1$ |
4.0.2697017616.1 |
$D_{4}$ |
simple |
2.113.au_ii |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 216 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12802, 1441078, 163009926, 18424323894, 2081954758978, 235260552832798, 26584441790414718, 3004041941327719294, 339456739061472171522]$ |
$10706$ |
$[10706, 163437796, 2079328837634, 26578338719422736, 339456224987821395586, 4334529359309400035646436, 55347526592770869706735987154, 706732548993870765624766500454400, 9024267975212145398226352343454422546, 115230877670741076246838255846327895930596]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.2819590400.1 |
$D_{4}$ |
simple |
2.113.au_ij |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 217 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12804, 1441138, 163010660, 18424331894, 2081954907198, 235260554981798, 26584441806932164, 3004041941419772434, 339456739062831716964]$ |
$10707$ |
$[10707, 163463769, 2079415378224, 26578458377236521, 339456372383124320307, 4334529667896699432489216, 55347527098345784671604077203, 706732549432977843802465670600649, 9024267975488676891231763442696343216, 115230877671202583109139858916282746742649]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.183549569.1 |
$D_{4}$ |
simple |
2.113.au_ik |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 218 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12806, 1441198, 163011390, 18424339694, 2081955050822, 235260557057438, 26584441822286974, 3004041941492434174, 339456739063916746886]$ |
$10708$ |
$[10708, 163489744, 2079501920116, 26578577382962176, 339456516093486028468, 4334529966915338068424656, 55347527586661987772771933332, 706732549841176893146791601455104, 9024267975706955805366333124279854484, 115230877671570903828209996198326798953424]$ |
$280$ |
$280$ |
$2$ |
$2$ |
$1$ |
4.0.588096.1 |
$D_{4}$ |
simple |
2.113.au_il |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 219 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12808, 1441258, 163012116, 18424347294, 2081955189862, 235260559060558, 26584441836507108, 3004041941546326954, 339456739064738819928]$ |
$10709$ |
$[10709, 163515721, 2079588463316, 26578695736604921, 339456656118907619389, 4334530256390299151354896, 55347528057917097771612181421, 706732550219211214654337421610025, 9024267975868851976497974424853663124, 115230877671849962062290499806681293527321]$ |
$80$ |
$80$ |
$2$ |
$2$ |
$1$ |
4.0.3155344400.1 |
$D_{4}$ |
simple |
2.113.au_im |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 220 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12810, 1441318, 163012838, 18424354694, 2081955324330, 235260560991998, 26584441849620478, 3004041941582068894, 339456739065309307050]$ |
$10710$ |
$[10710, 163541700, 2079675007830, 26578813438170000, 339456792459390218550, 4334530536346565897943300, 55347528512308733429301095670, 706732550567822833267762321920000, 9024267975976222263033332465167062390, 115230877672043617760382453430498207642500]$ |
$192$ |
$192$ |
$2$ |
$2$ |
$1$ |
4.0.3256822016.1 |
$D_{4}$ |
simple |
2.113.au_in |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 221 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12812, 1441378, 163013556, 18424361894, 2081955454238, 235260562852598, 26584441861654948, 3004041941600273794, 339456739065639391772]$ |
$10711$ |
$[10711, 163567681, 2079761553664, 26578930487662681, 339456925114934977711, 4334530806809121533771776, 55347528950034513506890216159, 706732550887752497875798507365225, 9024267976030910545917779627398226176, 115230877672155667243715808234568223412721]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.209574225.1 |
$D_{4}$ |
simple |
2.113.au_io |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 222 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12814, 1441438, 163014270, 18424368894, 2081955579598, 235260564643198, 26584441872638334, 3004041941601551134, 339456739065740070414]$ |
$10712$ |
$[10712, 163593664, 2079848100824, 26579046885088256, 339457054085543075032, 4334531067802949293498816, 55347529371292056765379070168, 706732551179739681313258781917184, 9024267976034747728635410858091296216, 115230877672189843287218998732311768447424]$ |
$140$ |
$140$ |
$2$ |
$2$ |
$1$ |
4.0.53820416.1 |
$D_{4}$ |
simple |
2.113.au_ip |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 223 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12816, 1441498, 163014980, 18424375694, 2081955700422, 235260566364638, 26584441882598404, 3004041941586506074, 339456739065622152336]$ |
$10713$ |
$[10713, 163619649, 2079934649316, 26579162630452041, 339457179371215715193, 4334531319353032421018256, 55347529776278981965789002297, 706732551444522580361044775256969, 9024267975989551737209039102814718884, 115230877672149815200988558632833912659649]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.3530844944.1 |
$D_{4}$ |
simple |
2.113.au_iq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 224 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12818, 1441558, 163015686, 18424382294, 2081955816722, 235260568017758, 26584441891562878, 3004041941555739454, 339456739065296260178]$ |
$10714$ |
$[10714, 163645636, 2080021199146, 26579277723759376, 339457300971954129514, 4334531561484354169618756, 55347530165192907869238118426, 706732551682838115746155820236800, 9024267975897127520200190878733121754, 115230877672039188911758736663888350800196]$ |
$128$ |
$128$ |
$2$ |
$2$ |
$1$ |
4.0.3612268800.1 |
$D_{4}$ |
simple |
2.113.au_ir |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 225 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12820, 1441618, 163016388, 18424388694, 2081955928510, 235260569603398, 26584441899559428, 3004041941509847794, 339456739064772830100]$ |
$10715$ |
$[10715, 163671625, 2080107750320, 26579392165015625, 339457418887759576075, 4334531794221897802144000, 55347530538231453237017348555, 706732551895421932141698490015625, 9024267975759267048709101991365216560, 115230877671861507044371112372660945415625]$ |
$336$ |
$336$ |
$2$ |
$2$ |
$1$ |
4.0.230552801.1 |
$D_{4}$ |
simple |
2.113.au_is |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 + 113 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$94$ |
$[94, 12822, 1441678, 163017086, 18424394894, 2081956035798, 235260571122398, 26584441906615678, 3004041941449423294, 339456739064062112022]$ |
$10716$ |
$[10716, 163697616, 2080194302844, 26579505954226176, 339457533118633339836, 4334532017590646591153616, 55347530895592236830667633564, 706732552083008398166896803840000, 9024267975577749316374713401880774556, 115230877671620249003244211906349353926096]$ |
$400$ |
$400$ |
$2$ |
$2$ |
$2$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-113}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.a |
2.113.au_it |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 227 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12824, 1441738, 163017780, 18424400894, 2081956138598, 235260572575598, 26584441912759204, 3004041941375053834, 339456739063174169864]$ |
$10717$ |
$[10717, 163723609, 2080280856724, 26579619091396441, 339457643664576732757, 4334532231615583819084816, 55347531237472877412058240933, 706732552246330606387103110481769, 9024267975354340339374667251370642516, 115230877671318831053843123774582119925449]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.47255824.1 |
$D_{4}$ |
simple |
2.113.au_iu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 228 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12826, 1441798, 163018470, 18424406694, 2081956236922, 235260573963838, 26584441918017534, 3004041941287322974, 339456739062118881786]$ |
$10718$ |
$[10718, 163749604, 2080367411966, 26579731576531856, 339457750525591093918, 4334532436321692778414756, 55347531564070993743466214462, 706732552386120373313809658384384, 9024267975090793156425303048605052734, 115230877670960606404149114595788276249124]$ |
$162$ |
$162$ |
$2$ |
$2$ |
$1$ |
4.0.1620224.2 |
$D_{4}$ |
simple |
2.113.au_iv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 229 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12828, 1441858, 163019156, 18424412294, 2081956330782, 235260575287958, 26584441922418148, 3004041941186809954, 339456739060905940428]$ |
$10719$ |
$[10719, 163775601, 2080453968576, 26579843409637881, 339457853701677789639, 4334532631733956771823616, 55347531875584204587656963031, 706732552503108239404660861610025, 9024267974788847828781654027877128384, 115230877670548865286129244829696989464321]$ |
$208$ |
$208$ |
$2$ |
$2$ |
$1$ |
4.0.246751025.1 |
$D_{4}$ |
simple |
2.113.au_iw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 230 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12830, 1441918, 163019838, 18424417694, 2081956420190, 235260576548798, 26584441925988478, 3004041941074089694, 339456739059544853150]$ |
$10720$ |
$[10720, 163801600, 2080540526560, 26579954590720000, 339457953192838213600, 4334532817877359112358400, 55347532172210128707965993440, 706732552598023469063466270720000, 9024267974450231440237443683610496480, 115230877670086835037205984498216075840000]$ |
$546$ |
$546$ |
$2$ |
$2$ |
$1$ |
4.0.976896.5 |
$D_{4}$ |
simple |
2.113.au_ix |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 231 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12832, 1441978, 163020516, 18424422894, 2081956505158, 235260577747198, 26584441928755908, 3004041940949732794, 339456739058044942272]$ |
$10721$ |
$[10721, 163827601, 2080627085924, 26580065119783721, 339458048999073786961, 4334532994776883123597456, 55347532454146384868381792369, 706732552671594050640214257761225, 9024267974076658097125082488492294436, 115230877669577680181726828897008341180721]$ |
$88$ |
$88$ |
$2$ |
$2$ |
$1$ |
4.0.4050275600.1 |
$D_{4}$ |
simple |
2.113.au_iy |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 232 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12834, 1442038, 163021190, 18424427894, 2081956585698, 235260578883998, 26584441930747774, 3004041940814305534, 339456739056415345314]$ |
$10722$ |
$[10722, 163853604, 2080713646674, 26580174996834576, 339458141120385958482, 4334533162457512139815716, 55347532721590591833629862498, 706732552724546696431086424571904, 9024267973669828928315664801975592866, 115230877669024502512433914300155644786724]$ |
$136$ |
$136$ |
$2$ |
$2$ |
$1$ |
4.0.4094814464.1 |
$D_{4}$ |
simple |
2.113.au_iz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 233 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12836, 1442098, 163021860, 18424432694, 2081956661822, 235260579960038, 26584441931991364, 3004041940668369874, 339456739054665015236]$ |
$10723$ |
$[10723, 163879609, 2080800208816, 26580284221878121, 339458229556776204643, 4334533320944229506150656, 55347532974740368369257917827, 706732552757606842678472743659849, 9024267973231432085218965976078356784, 115230877668430341171933633660372364861849]$ |
$156$ |
$156$ |
$2$ |
$2$ |
$1$ |
4.0.258440769.1 |
$D_{4}$ |
simple |
2.113.au_ja |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 234 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12838, 1442158, 163022526, 18424437294, 2081956733542, 235260580976158, 26584441932513918, 3004041940512483454, 339456739052802720678]$ |
$10724$ |
$[10724, 163905616, 2080886772356, 26580392794919936, 339458314308246029764, 4334533470262018578768976, 55347533213793333241722243236, 706732552771498649570987440947200, 9024267972763142741783439665489529764, 115230877667798172734166252307302552559696]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.65172800.2 |
$D_{4}$ |
simple |
2.113.au_jb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 235 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12840, 1442218, 163023188, 18424441694, 2081956800870, 235260581933198, 26584441932342628, 3004041940347199594, 339456739050837046200]$ |
$10725$ |
$[10725, 163931625, 2080973337300, 26580500715965625, 339458395374796966125, 4334533610435862725034000, 55347533438947105218475223325, 706732552766945001243485629715625, 9024267972266623094496215349076650900, 115230877667130911285875523646508508165625]$ |
$196$ |
$196$ |
$2$ |
$2$ |
$1$ |
4.0.4202905616.1 |
$D_{4}$ |
simple |
2.113.au_jc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 236 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12842, 1442278, 163023846, 18424445894, 2081956863818, 235260582831998, 26584441931504638, 3004041940173067294, 339456739048776392522]$ |
$10726$ |
$[10726, 163957636, 2081059903654, 26580607985020816, 339458472756430574086, 4334533741490745323673796, 55347533650399303068054045574, 706732552744667505777080705126400, 9024267971743522362383096069973602566, 115230877666431408508078304861832799286596]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.52230400.1 |
$D_{4}$ |
simple |
2.113.au_jd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 237 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12844, 1442338, 163024500, 18424449894, 2081956922398, 235260583673398, 26584441930027044, 3004041939990631234, 339456739046628976764]$ |
$10727$ |
$[10727, 163983649, 2081146471424, 26580714602091161, 339458546453148442207, 4334533863451649764950016, 55347533848347545560170582863, 706732552705386495199162508730089, 9024267971195476787008556401511638016, 115230877665702453757534172623890870991249]$ |
$100$ |
$100$ |
$2$ |
$2$ |
$1$ |
4.0.265900049.1 |
$D_{4}$ |
simple |
2.113.au_je |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 238 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12846, 1442398, 163025150, 18424453694, 2081956976622, 235260584458238, 26584441927936894, 3004041939800431774, 339456739044402832686]$ |
$10728$ |
$[10728, 164009664, 2081233040616, 26580820567182336, 339458616464952187368, 4334533976343559450827456, 55347534032989451465802460392, 706732552649821025483416272420864, 9024267970624109632475740646341751784, 115230877664946774148215038807527375237824]$ |
$490$ |
$490$ |
$2$ |
$2$ |
$1$ |
4.0.1362944.1 |
$D_{4}$ |
simple |
2.113.au_jf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 239 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12848, 1442458, 163025796, 18424457294, 2081957026502, 235260585187358, 26584441925261188, 3004041939603004954, 339456739042105810928]$ |
$10729$ |
$[10729, 164035681, 2081319611236, 26580925880300041, 339458682791843454889, 4334534080191457795144336, 55347534204522639557285312041, 706732552578688876549842351330825, 9024267970031031185426461276181732644, 115230877664167034632774766221146175276321]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.4290109200.1 |
$D_{4}$ |
simple |
2.113.au_jg |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 240 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12850, 1442518, 163026438, 18424460694, 2081957072050, 235260585861598, 26584441922026878, 3004041939398882494, 339456739039745579250]$ |
$10730$ |
$[10730, 164061700, 2081406183290, 26581030541450000, 339458745433823918650, 4334534175020328223783300, 55347534363144728608406231210, 706732552492706552264776755200000, 9024267969417838755041197619706878570, 115230877663365838084018784350901663642500]$ |
$312$ |
$312$ |
$2$ |
$2$ |
$1$ |
4.0.4302223616.1 |
$D_{4}$ |
simple |
2.113.au_jh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 241 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12852, 1442578, 163027076, 18424463894, 2081957113278, 235260586481798, 26584441918260868, 3004041939188591794, 339456739037329622772]$ |
$10731$ |
$[10731, 164087721, 2081492756784, 26581134550637961, 339458804390895281211, 4334534260855154174843136, 55347534509053337394498421179, 706732552392589280440912487798025, 9024267968786116673039094806189355696, 115230877662545725376373705122817573503721]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.5498225.2 |
$D_{4}$ |
simple |
2.113.au_ji |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 242 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12854, 1442638, 163027710, 18424466894, 2081957150198, 235260587048798, 26584441913990014, 3004041938972655934, 339456739034865244214]$ |
$10732$ |
$[10732, 164113744, 2081579331724, 26581237907869696, 339458859663059273932, 4334534337720919098811216, 55347534642446084692537050028, 706732552279051012837321704013824, 9024267968137436293677962972577548716, 115230877661709175467356938685978866099024]$ |
$196$ |
$196$ |
$2$ |
$2$ |
$1$ |
4.0.16856784.1 |
$D_{4}$ |
simple |
2.113.au_jj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 243 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12856, 1442698, 163028340, 18424469694, 2081957182822, 235260587563438, 26584441909241124, 3004041938751593674, 339456739032359564136]$ |
$10733$ |
$[10733, 164139769, 2081665908116, 26581340613151001, 339458911250317657093, 4334534405642606458736656, 55347534763520589281236315157, 706732552152804425159478694269929, 9024267967473355993754276741793478484, 115230877660858605479046309220022545467049]$ |
$110$ |
$110$ |
$2$ |
$2$ |
$1$ |
4.0.4316482064.1 |
$D_{4}$ |
simple |
2.113.au_jk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 244 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12858, 1442758, 163028966, 18424472294, 2081957211162, 235260588026558, 26584441904040958, 3004041938525919454, 339456739029819521178]$ |
$10734$ |
$[10734, 164165796, 2081752485966, 26581442666487696, 339458959152672220014, 4334534464645199730404196, 55347534872474469941147722446, 706732552014560917059283705958400, 9024267966795421172603174980113453774, 115230877659996370779549670770234389204196]$ |
$160$ |
$160$ |
$2$ |
$2$ |
$1$ |
4.0.4314118400.1 |
$D_{4}$ |
simple |
2.113.au_jl |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12860, 1442818, 163029588, 18424474694, 2081957235230, 235260588438998, 26584441898416228, 3004041938296143394, 339456739027251872300]$ |
$10735$ |
$[10735, 164191825, 2081839065280, 26581544067885625, 339459003370124781175, 4334534514753682402508800, 55347534969505345454759585095, 706732551865030612135087611635625, 9024267966105164252098460841584578240, 115230877659124765064474523113640594270625]$ |
$420$ |
$420$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-451}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ab |
2.113.au_jm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 246 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12862, 1442878, 163030206, 18424476894, 2081957255038, 235260588801598, 26584441892393598, 3004041938062771294, 339456739024663193022]$ |
$10736$ |
$[10736, 164217856, 2081925646064, 26581644817350656, 339459043902677188336, 4334534555993037976830976, 55347535054810834606597747184, 706732551704922357931717433753600, 9024267965404104676652602107517550576, 115230877658246020438397627659566223492096]$ |
$348$ |
$348$ |
$2$ |
$2$ |
$1$ |
4.0.65600.4 |
$D_{4}$ |
simple |
2.113.au_jn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 247 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12864, 1442938, 163030820, 18424478894, 2081957270598, 235260589115198, 26584441885999684, 3004041937826304634, 339456739022059877664]$ |
$10737$ |
$[10737, 164243889, 2082012228324, 26581744914888681, 339459080750331318657, 4334534588388249968412816, 55347535128588556183327536993, 706732551534943725940502735745609, 9024267964693748913216731829184375716, 115230877657362307496334623388216105020049]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.4286718224.1 |
$D_{4}$ |
simple |
2.113.au_jo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 248 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12866, 1442998, 163031430, 18424480694, 2081957281922, 235260589380638, 26584441879261054, 3004041937587240574, 339456739019448139586]$ |
$10738$ |
$[10738, 164269924, 2082098812066, 26581844360505616, 339459113913089078818, 4334534611964301905734756, 55347535191036128973856955122, 706732551355801011599302889324544, 9024267963975590451280649281938147634, 115230877656475735405209642830918487239524]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.4271065344.1 |
$D_{4}$ |
simple |
2.113.au_jp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 249 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12868, 1443058, 163032036, 18424482294, 2081957289022, 235260589598758, 26584441872204228, 3004041937346071954, 339456739016834011428]$ |
$10739$ |
$[10739, 164295961, 2082185397296, 26581943154207401, 339459143390952405139, 4334534626746177330893056, 55347535242351171769441102451, 706732551168199234292535227892425, 9024267963251109802872821239060969904, 115230877655588351985324928095757289083321]$ |
$160$ |
$160$ |
$2$ |
$2$ |
$1$ |
4.0.265767425.1 |
$D_{4}$ |
simple |
2.113.au_jq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 250 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12870, 1443118, 163032638, 18424483694, 2081957291910, 235260589770398, 26584441864855678, 3004041937103287294, 339456739014223345350]$ |
$10740$ |
$[10740, 164322000, 2082271984020, 26582041296000000, 339459169183923263700, 4334534632758859799778000, 55347535282731303363787852980, 706732550972842137351204096000000, 9024267962521774502560383573735348660, 115230877654702143791830446942405214050000]$ |
$602$ |
$602$ |
$2$ |
$2$ |
$1$ |
4.0.66100544.1 |
$D_{4}$ |
simple |
2.113.au_jr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 251 x^{2} - 2260 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$94$ |
$[94, 12872, 1443178, 163033236, 18424484894, 2081957290598, 235260589896398, 26584441857241828, 3004041936859370794, 339456739011621813272]$ |
$10741$ |
$[10741, 164348041, 2082358572244, 26582138785889401, 339459191292003650461, 4334534630027332882252816, 55347535312374142553164776589, 706732550770432188052930804835625, 9024267961789039107449143197624023956, 115230877653819036196193508910057319061721]$ |
$130$ |
$130$ |
$2$ |
$2$ |
$1$ |
4.0.6728976.2 |
$D_{4}$ |
simple |