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 |
2.59.abe_nf |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$30$ |
$[30, 3268, 203940, 12108388, 714874650, 42180318358, 2488651184910, 146830445807428, 8662995959396220, 511116754927777348]$ |
$2025$ |
$[2025, 11390625, 41885715600, 146721740765625, 511081259355275625, 1779188337541476000000, 6193385466525346364568225, 21559178611542356580009515625, 75047497773274099190681894336400, 261240336336245166065781281337890625]$ |
$1$ |
$1$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
1.59.ap 2 |
2.59.abd_mq |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 15 x + 59 x^{2} )( 1 - 14 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$31$ |
$[31, 3297, 204394, 12113753, 714927461, 42180766002, 2488654443719, 146830465169713, 8662996034096926, 511116754760841777]$ |
$2070$ |
$[2070, 11488500, 41978631240, 146786726340000, 511119013911449850, 1779207219356092344000, 6193393576564714284644010, 21559181454515215565047440000, 75047498420406008175990372395880, 261240336250921598870059140108712500]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-10}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.ao |
2.59.abc_mb |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 13 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$32$ |
$[32, 3324, 204764, 12117236, 714950032, 42180825942, 2488653551248, 146830446922276, 8662995826072196, 511116752988047724]$ |
$2115$ |
$[2115, 11579625, 42054355440, 146828915483625, 511135149907500075, 1779209747650826784000, 6193391355515568806342595, 21559178775235980854920847625, 75047496618288627370334129802480, 261240335344816856787725477311865625]$ |
$3$ |
$3$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-67}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.an |
2.59.abc_mc |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 59 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$32$ |
$[32, 3326, 204848, 12119118, 714980272, 42181213646, 2488657702528, 146830484531998, 8662996108797632, 511116754593906206]$ |
$2116$ |
$[2116, 11587216, 42071752996, 146851740697600, 511156771256625796, 1779226101371093838736, 6193401686614702040818276, 21559184297488449448165785600, 75047499067537922741494327353796, 261240336165598031702204483744630416]$ |
$4$ |
$4$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
1.59.ao 2 |
2.59.abb_ll |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 297 x^{2} - 1593 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$33$ |
$[33, 3347, 204975, 12117435, 714925488, 42180368807, 2488648207533, 146830399711939, 8662995502197255, 511116751363394102]$ |
$2159$ |
$[2159, 11656441, 42097354337, 146831303228221, 511117601662791824, 1779190465428256488169, 6193378056873441286926629, 21559171843321877030129766549, 75047493812561396428448545540787, 261240334514429174124014224199723776]$ |
$1$ |
$1$ |
$2$ |
$2$ |
$1$ |
4.0.30589.1 |
$D_{4}$ |
simple |
2.59.abb_lm |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 12 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$33$ |
$[33, 3349, 205056, 12119161, 714951543, 42180679942, 2488651310157, 146830426426801, 8662995707134464, 511116752832981349]$ |
$2160$ |
$[2160, 11664000, 42114116160, 146852232768000, 511136230120606800, 1779203589308630784000, 6193385778221460102404880, 21559175765876333633202432000, 75047495587931544004307954617920, 261240335265559834525468693539600000]$ |
$6$ |
$6$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-23}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.am |
2.59.abb_ln |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 299 x^{2} - 1593 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$33$ |
$[33, 3351, 205137, 12120883, 714977328, 42180981531, 2488654177287, 146830448599123, 8662995839363643, 511116753302329206]$ |
$2161$ |
$[2161, 11671561, 42130879771, 146873114532045, 511154665713250096, 1779216310560917850721, 6193392913510370599631311, 21559179021447974615780509845, 75047496733432354191949283289421, 261240335505451386364764725734172416]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.46125.1 |
$D_{4}$ |
simple |
2.59.abb_lo |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 14 x + 59 x^{2} )( 1 - 13 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$33$ |
$[33, 3353, 205218, 12122601, 715002843, 42181273586, 2488656810057, 146830466284561, 8662995900772902, 511116752821112153]$ |
$2162$ |
$[2162, 11679124, 42147645176, 146893948527520, 511172908444673102, 1779228629692660060096, 6193399465562648169989822, 21559181618208861425963479680, 75047497265420526396243888301016, 261240335259493289915813208450742804]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-67}) \) |
$C_2$, $C_2$ |
1.59.ao $\times$ 1.59.an |
2.59.aba_kw |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 282 x^{2} - 1534 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$34$ |
$[34, 3370, 205198, 12118254, 714917514, 42180216346, 2488647150646, 146830400878494, 8662995622910482, 511116753023853450]$ |
$2204$ |
$[2204, 11734096, 42143012396, 146841228326144, 511111901708972524, 1779184034615873795536, 6193375426652886070753244, 21559172014607602903046672384, 75047494858299561975888142718396, 261240335363117764074092678560320976]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.11600.1 |
$D_{4}$ |
simple |
2.59.aba_kx |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 11 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$34$ |
$[34, 3372, 205276, 12119828, 714939614, 42180457302, 2488649310986, 146830417596388, 8662995743230084, 511116753932918652]$ |
$2205$ |
$[2205, 11741625, 42159141360, 146860312055625, 511127702084769525, 1779194198258586144000, 6193380802981882329007965, 21559174469302892397901655625, 75047495900627751676137460577520, 261240335827756218563966307454415625]$ |
$12$ |
$12$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-115}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.al |
2.59.aba_ky |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 284 x^{2} - 1534 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$34$ |
$[34, 3374, 205354, 12121398, 714961454, 42180689486, 2488651266758, 146830430619934, 8662995808722082, 511116754148953214]$ |
$2206$ |
$[2206, 11749156, 42175272022, 146879347929808, 511143316712449366, 1779203991912825643204, 6193385670214361313347038, 21559176381555576503025841152, 75047496467984640153881827289998, 261240335938175101909644613490511556]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.297792.1 |
$D_{4}$ |
simple |
2.59.aba_kz |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 285 x^{2} - 1534 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$34$ |
$[34, 3376, 205432, 12122964, 714983034, 42180912910, 2488653019054, 146830440000420, 8662995821040856, 511116753713070336]$ |
$2207$ |
$[2207, 11756689, 42191404388, 146898335955497, 511158745595533447, 1779213416085892080784, 6193390031068187781573791, 21559177758896338648436524553, 75047496574702120256993508049796, 261240335715388060015377803836939009]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.183872.5 |
$D_{4}$ |
simple |
2.59.aba_la |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 59 x^{2} )( 1 - 12 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$34$ |
$[34, 3378, 205510, 12124526, 715004354, 42181127586, 2488654568966, 146830445789086, 8662995781835170, 511116752666045778]$ |
$2208$ |
$[2208, 11764224, 42207538464, 146917276139520, 511173988737577248, 1779222471285108036096, 6193393888261236178531488, 21559178608848817365016903680, 75047496235063434145485162677664, 261240335180236267679442518532002304]$ |
$12$ |
$12$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-23}) \) |
$C_2$, $C_2$ |
1.59.ao $\times$ 1.59.am |
2.59.aba_lb |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 59 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$34$ |
$[34, 3380, 205588, 12126084, 715025414, 42181333526, 2488655917586, 146830448037124, 8662995692748172, 511116751048318100]$ |
$2209$ |
$[2209, 11771761, 42223674256, 146936168488729, 511189046142170449, 1779231158017819085056, 6193397244511390803647209, 21559178938929606372718242729, 75047495463303173325281740821136, 261240334353388551272220687509022001]$ |
$3$ |
$3$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-67}) \) |
$C_2$ |
1.59.an 2 |
2.59.az_kh |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 267 x^{2} - 1475 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3391, 205355, 12118083, 714901800, 42180058531, 2488646765045, 146830410767283, 8662995785442665, 511116754328017206]$ |
$2249$ |
$[2249, 11805001, 42175161899, 146839161063725, 511100668270704304, 1779177377944402117201, 6193374467026710222997439, 21559173466582676238902520725, 75047496266315174225103850378229, 261240336029697708729857952628124416]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.609725.2 |
$C_4$ |
simple |
2.59.az_ki |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 10 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3393, 205430, 12119513, 714920425, 42180243858, 2488648277395, 146830421877553, 8662995871133090, 511116755105155473]$ |
$2250$ |
$[2250, 11812500, 42190659000, 146856496500000, 511113983878743750, 1779185195099739000000, 6193378230734260474557750, 21559175097908240363634000000, 75047497008650966848151553471000, 261240336426906097566645776132812500]$ |
$8$ |
$8$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-34}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.ak |
2.59.az_kj |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 269 x^{2} - 1475 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3395, 205505, 12120939, 714938800, 42180421151, 2488649612995, 146830430004739, 8662995915787565, 511116755403884150]$ |
$2251$ |
$[2251, 11820001, 42206157709, 146873784005869, 511127120859737776, 1779192673389411523681, 6193381554573604444969801, 21559176291226295228624572149, 75047497395492491426371153150519, 261240336579591329303916263134226176]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.1000629.1 |
$D_{4}$ |
simple |
2.59.az_kk |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 270 x^{2} - 1475 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3397, 205580, 12122361, 714956925, 42180590422, 2488650772895, 146830435195953, 8662995920848340, 511116755257995477]$ |
$2252$ |
$[2252, 11827504, 42221658032, 146891023587776, 511140079216801252, 1779199813320505249024, 6193384441158012619714772, 21559177053454343736748640000, 75047497439333956575345764184752, 261240336505025184140198628028867504]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.219929.1 |
$D_{4}$ |
simple |
2.59.az_kl |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 271 x^{2} - 1475 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3399, 205655, 12123779, 714974800, 42180751683, 2488651758145, 146830437498259, 8662995887752265, 511116754700971254]$ |
$2253$ |
$[2253, 11835009, 42237159975, 146908215252189, 511152858953081328, 1779206615400125975625, 6193386893100763447359603, 21559177391502843148036157109, 75047497152622791198667451147025, 261240336220320771265107255271843584]$ |
$11$ |
$11$ |
$2$ |
$2$ |
$1$ |
4.0.645749.1 |
$D_{4}$ |
simple |
2.59.az_km |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 59 x^{2} )( 1 - 11 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3401, 205730, 12125193, 714992425, 42180904946, 2488652569795, 146830436958673, 8662995817930790, 511116753765983081]$ |
$2254$ |
$[2254, 11842516, 42252663544, 146925359005600, 511165460071757554, 1779213080135399935936, 6193388913015143488687234, 21559177312275205152742953600, 75047496547759644513682966144984, 261240335742432651534321470706312916]$ |
$8$ |
$8$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-115}) \) |
$C_2$, $C_2$ |
1.59.ao $\times$ 1.59.al |
2.59.az_kn |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 273 x^{2} - 1475 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3403, 205805, 12126603, 715009800, 42181050223, 2488653208895, 146830433624163, 8662995712809965, 511116752485892598]$ |
$2255$ |
$[2255, 11850025, 42268168745, 146942454854525, 511177882576042000, 1779219208033473990025, 6193390503514447567187645, 21559176822667795945658285525, 75047495637098386077963886980755, 261240335088156960144873263164000000]$ |
$7$ |
$7$ |
$2$ |
$2$ |
$1$ |
4.0.134525.1 |
$D_{4}$ |
simple |
2.59.az_ko |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 13 x + 59 x^{2} )( 1 - 12 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$35$ |
$[35, 3405, 205880, 12128009, 715026925, 42181187526, 2488653676495, 146830427541649, 8662995573810440, 511116750893251725]$ |
$2256$ |
$[2256, 11857536, 42283675584, 146959502805504, 511190126469179376, 1779224999601515821056, 6193391667211978920914736, 21559175929569936301660514304, 75047494432946105816512601310144, 261240334274131529310750745010549376]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-23}) \) |
$C_2$, $C_2$ |
1.59.an $\times$ 1.59.am |
2.59.ay_jr |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 251 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$36$ |
$[36, 3408, 205380, 12115876, 714867396, 42179798526, 2488646020764, 146830415577796, 8662995818654940, 511116753651134928]$ |
$2293$ |
$[2293, 11861689, 42180166084, 146812421295225, 511076073042553573, 1779166410873823895056, 6193372614773176468641373, 21559174172912289256191650025, 75047496554032953615221529644644, 261240335683731835157110059511077529]$ |
$6$ |
$6$ |
$4$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}, \sqrt{11})\) |
$C_2^2$ |
simple |
2.59.ay_js |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 252 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3410, 205452, 12117174, 714883236, 42179948066, 2488647262284, 146830426336414, 8662995926072388, 511116754777452050]$ |
$2294$ |
$[2294, 11869156, 42195030806, 146828153923984, 511087397230717574, 1779172718497810185316, 6193375704480173115833414, 21559175752604864223463870464, 75047497484589874157370861802646, 261240336259411387241333317579815076]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.1542400.2 |
$D_{4}$ |
simple |
2.59.ay_jt |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 9 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3412, 205524, 12118468, 714898836, 42180090262, 2488648350924, 146830434658948, 8662996001655756, 511116755543649652]$ |
$2295$ |
$[2295, 11876625, 42209897040, 146843838545625, 511098549913977975, 1779178716355027104000, 6193378413722304475846335, 21559176974606113830896195625, 75047498139368285830810397267280, 261240336651027819035100888257540625]$ |
$28$ |
$28$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-155}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.aj |
2.59.ay_ju |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 254 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3414, 205596, 12119758, 714914196, 42180225126, 2488649287692, 146830440588574, 8662996046660868, 511116755977594614]$ |
$2296$ |
$[2296, 11884096, 42224764792, 146859475166208, 511109531095036216, 1779184404952355028544, 6193380745008254766252088, 21559177845255603048829304832, 75047498529247387548288671477368, 261240336872824359745561284604949056]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.39168.3 |
$D_{4}$ |
simple |
2.59.ay_jv |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 255 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3416, 205668, 12121044, 714929316, 42180352670, 2488650073596, 146830444168420, 8662996062338364, 511116756106868936]$ |
$2297$ |
$[2297, 11891569, 42239634068, 146875063791817, 511120340776624097, 1779189784796691984784, 6193382700846714519664841, 21559178370885850543050345033, 75047498665061469529185220762676, 261240336938898631674759794322638209]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.2503312.2 |
$D_{4}$ |
simple |
2.59.ay_jw |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 256 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3418, 205740, 12122326, 714944196, 42180472906, 2488650709644, 146830445441566, 8662996049933700, 511116755958769978]$ |
$2298$ |
$[2298, 11899044, 42254504874, 146890604428560, 511130978961503898, 1779194856394953829476, 6193384283746380714212298, 21559178557822328733411901440, 75047498557599913318100526452154, 261240336863202772892068691796845604]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.2269440.3 |
$D_{4}$ |
simple |
2.59.ay_jx |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 257 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3420, 205812, 12123604, 714958836, 42180585846, 2488651196844, 146830444451044, 8662996010687148, 511116755560310700]$ |
$2299$ |
$[2299, 11906521, 42269377216, 146906097082569, 511141445652468499, 1779199620254074433536, 6193385496215956905287179, 21559178412383463853535822409, 75047498217607191804031406431936, 261240336659543559906843683800962601]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.117225.1 |
$D_{4}$ |
simple |
2.59.ay_jy |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 59 x^{2} )( 1 - 10 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3422, 205884, 12124878, 714973236, 42180691502, 2488651536204, 146830441239838, 8662995945833796, 511116754938219902]$ |
$2300$ |
$[2300, 11914000, 42284251100, 146921541760000, 511151740852341500, 1779204076881005866000, 6193386340764153358583900, 21559177940880636011612160000, 75047497655782869240141906760700, 261240336341582530341312916323850000]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-34}) \) |
$C_2$, $C_2$ |
1.59.ao $\times$ 1.59.ak |
2.59.ay_jz |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 259 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3424, 205956, 12126148, 714987396, 42180789886, 2488651728732, 146830435850884, 8662995856603548, 511116754118942464]$ |
$2301$ |
$[2301, 11921481, 42299126532, 146936938467033, 511161864563977341, 1779208226782718578704, 6193386819899687184425493, 21559177149618179252303527977, 75047496882781601264139838484388, 261240335922836105603704972872660681]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.891792.2 |
$D_{4}$ |
simple |
2.59.ay_ka |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 260 x^{2} - 1416 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3426, 206028, 12127414, 715001316, 42180881010, 2488651775436, 146830428327070, 8662995744221124, 511116753128639586]$ |
$2302$ |
$[2302, 11928964, 42314003518, 146952287209872, 511171816790261422, 1779212070466201591684, 6193386936131282473385806, 21559176044893381619765219328, 75047495909213134919269197689566, 261240335416675713561622398401714884]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.444672.5 |
$D_{4}$ |
simple |
2.59.ay_kb |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 59 x^{2} )( 1 - 11 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3428, 206100, 12128676, 715014996, 42180964886, 2488651677324, 146830418711236, 8662995609906060, 511116751993189028]$ |
$2303$ |
$[2303, 11936449, 42328882064, 146967587994745, 511181597534110223, 1779215608438462679296, 6193386691967670433212023, 21559174632996485221791465705, 75047494745642308675928800094864, 261240334836327911215667387753600929]$ |
$6$ |
$6$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-115}) \) |
$C_2$, $C_2$ |
1.59.an $\times$ 1.59.al |
2.59.ay_kc |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 12 x + 59 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$36$ |
$[36, 3430, 206172, 12129934, 715028436, 42181041526, 2488651435404, 146830407046174, 8662995454872708, 511116750738185350]$ |
$2304$ |
$[2304, 11943936, 42343762176, 146982840827904, 511191206798471424, 1779218841206528557056, 6193386089917589527052544, 21559172920210686295098261504, 75047493402589052453927555102976, 261240334194874507373326383167717376]$ |
$33$ |
$33$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-23}) \) |
$C_2$ |
1.59.am 2 |
2.59.ax_jc |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 23 x + 236 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$37$ |
$[37, 3425, 205426, 12114585, 714852287, 42179793554, 2488647529349, 146830433234353, 8662995898014646, 511116753365899505]$ |
$2338$ |
$[2338, 11919124, 42189612136, 146796789360928, 511065272082590638, 1779166201152393247936, 6193376369111810983154302, 21559176765432051375543193728, 75047497241525755479181242957832, 261240335537943232716099744301135444]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.1533528.3 |
$D_{4}$ |
simple |
2.59.ax_jd |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 237 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3427, 205495, 12115755, 714865512, 42179909887, 2488648490197, 146830442376579, 8662995996347995, 511116754364144502]$ |
$2339$ |
$[2339, 11926561, 42203847077, 146810968680941, 511074726590659024, 1779171108092886364129, 6193378760325947721396209, 21559178107789230670913466869, 75047498093387165246069364982367, 261240336048162975267712361571755776]$ |
$11$ |
$11$ |
$2$ |
$2$ |
$1$ |
4.0.3317429.1 |
$D_{4}$ |
simple |
2.59.ax_je |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 59 x^{2} )( 1 - 8 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3429, 205564, 12116921, 714878507, 42180019542, 2488649320313, 146830449570481, 8662996070800996, 511116755104400949]$ |
$2340$ |
$[2340, 11934000, 42218083440, 146825099928000, 511084016722550700, 1779175733355300384000, 6193380826193533329293820, 21559179164073090732627552000, 75047498738373215696497492506480, 261240336426520447708864506418350000]$ |
$16$ |
$16$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-43}) \) |
$C_2$, $C_2$ |
1.59.ap $\times$ 1.59.ai |
2.59.ax_jf |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 239 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3431, 205633, 12118083, 714891272, 42180122531, 2488650020663, 146830454855443, 8662996122457087, 511116755609289206]$ |
$2341$ |
$[2341, 11941441, 42232321231, 146839183107805, 511093142480609296, 1779180077446355428681, 6193382569118685785031211, 21559179940066408011312506805, 75047499185869725698147948695321, 261240336684577294930131847638812416]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.65125.1 |
$D_{4}$ |
simple |
2.59.ax_jg |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 240 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3433, 205702, 12119241, 714903807, 42180218866, 2488650592213, 146830458270801, 8662996152394738, 511116755901169353]$ |
$2342$ |
$[2342, 11948884, 42246560456, 146853218226080, 511102103867207002, 1779184140872787015616, 6193383991505528074363082, 21559180441544912184214958720, 75047499445219476516776980238696, 261240336833762128368648030171147604]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.5580920.1 |
$D_{4}$ |
simple |
2.59.ax_jh |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 241 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3435, 205771, 12120395, 714916112, 42180308559, 2488651035929, 146830459855843, 8662996161687451, 511116756002141430]$ |
$2343$ |
$[2343, 11956329, 42260801121, 146867205288573, 511110900884744688, 1779187924141346230281, 6193385095758188304817797, 21559180674277286202246528213, 75047499525722211829622210251707, 261240336885370648678898773755135744]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.5526653.1 |
$D_{4}$ |
simple |
2.59.ax_ji |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 242 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3437, 205840, 12121545, 714928187, 42180391622, 2488651352777, 146830459649809, 8662996151403760, 511116755934045677]$ |
$2344$ |
$[2344, 11963776, 42275043232, 146881144301056, 511119533535652024, 1779191427758799898624, 6193385884280799821104984, 21559180644025166337980995584, 75047499436634637739283548737952, 261240336850565768403682176752699776]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.1294821.2 |
$D_{4}$ |
simple |
2.59.ax_jj |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 243 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3439, 205909, 12122691, 714940032, 42180468067, 2488651543723, 146830457691891, 8662996122607231, 511116755718462774]$ |
$2345$ |
$[2345, 11971225, 42289286795, 146895035269325, 511128001822387600, 1779194652231930760225, 6193386359477501321732735, 21559180356543142234612867925, 75047499187170422788086394535765, 261240336740377734645240369526240000]$ |
$13$ |
$13$ |
$2$ |
$2$ |
$1$ |
4.0.4606157.1 |
$D_{4}$ |
simple |
2.59.ax_jk |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 59 x^{2} )( 1 - 9 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3441, 205978, 12123833, 714951647, 42180537906, 2488651609733, 146830454021233, 8662996076356462, 511116755376714081]$ |
$2346$ |
$[2346, 11978676, 42303531816, 146908878199200, 511136305747439046, 1779197598067537642176, 6193386523752436976839446, 21559179817578756955887043200, 75047498786500197972936049759176, 261240336565704251736567752297036916]$ |
$20$ |
$20$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-155}) \) |
$C_2$, $C_2$ |
1.59.ao $\times$ 1.59.aj |
2.59.ax_jl |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 245 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3443, 206047, 12124971, 714963032, 42180601151, 2488651551773, 146830448676931, 8662996013705083, 511116754929861878]$ |
$2347$ |
$[2347, 11986129, 42317778301, 146922673096525, 511144445313323152, 1779200265772435633681, 6193386379509756547245337, 21559179032872507037009308725, 75047498243751556760672355199351, 261240336337310603912901143801384704]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.122157.1 |
$D_{4}$ |
simple |
2.59.ax_jm |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 246 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3445, 206116, 12126105, 714974187, 42180657814, 2488651370809, 146830441698033, 8662995935701756, 511116754398709605]$ |
$2348$ |
$[2348, 11993584, 42332026256, 146936419967168, 511152420522585988, 1779202655853456261376, 6193385929153615504728692, 21559178008157842536547451648, 75047497568009055103933642969232, 261240336065829777983397259334034544]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.552857.1 |
$D_{4}$ |
simple |
2.59.ax_jn |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 247 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3447, 206185, 12127235, 714985112, 42180707907, 2488651067807, 146830433123539, 8662995843390175, 511116753803802102]$ |
$2349$ |
$[2349, 12001041, 42346275687, 146950118817021, 511160231377803024, 1779204768817447665369, 6193385175088175153531859, 21559176749161167089332799349, 75047496768314211457539190853937, 261240335761762586003003029920427776]$ |
$17$ |
$17$ |
$2$ |
$2$ |
$1$ |
4.0.4901.1 |
$D_{4}$ |
simple |
2.59.ax_jo |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 59 x^{2} )( 1 - 10 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3449, 206254, 12128361, 714995807, 42180751442, 2488650643733, 146830422992401, 8662995737809066, 511116753165425849]$ |
$2350$ |
$[2350, 12008500, 42360526600, 146963769652000, 511167877881579250, 1779206605171274776000, 6193384119717602753102050, 21559175261601837960372048000, 75047495853665506795399451372200, 261240335435477787944524368394712500]$ |
$8$ |
$8$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-34}) \) |
$C_2$, $C_2$ |
1.59.an $\times$ 1.59.ak |
2.59.ax_jp |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 249 x^{2} - 1357 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3451, 206323, 12129483, 715006272, 42180788431, 2488650099553, 146830411343523, 8662995619992187, 511116752503609206]$ |
$2351$ |
$[2351, 12015961, 42374779001, 146977372478045, 511175360036549296, 1779208165421819491321, 6193382765446071642071981, 21559173551192166099779277845, 75047494833018384627963417459731, 261240335097212214370899083083292416]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.246125.1 |
$D_{4}$ |
simple |
2.59.ax_jq |
$2$ |
$\F_{59}$ |
$59$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 12 x + 59 x^{2} )( 1 - 11 x + 59 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3453, 206392, 12130601, 715016507, 42180818886, 2488649436233, 146830398215761, 8662995490968328, 511116751838122653]$ |
$2352$ |
$[2352, 12023424, 42389032896, 146990927301120, 511182677845377552, 1779209450075980855296, 6193381114677761363485392, 21559171623637416198738094080, 75047493715285251020212575953856, 261240334757070889107679735607282304]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-115}) \) |
$C_2$, $C_2$ |
1.59.am $\times$ 1.59.al |
2.59.aw_im |
$2$ |
$\F_{59}$ |
$59$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 220 x^{2} - 1298 x^{3} + 3481 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$38$ |
$[38, 3438, 205358, 12111926, 714829018, 42179757966, 2488648402642, 146830435691806, 8662995779507942, 511116751559622078]$ |
$2382$ |
$[2382, 11962404, 42175627686, 146764581443280, 511048637552308902, 1779164700046312344516, 6193378542429813312193422, 21559177126260609677961016320, 75047496214902667829919004323006, 261240334614724579668175536173336004]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.115520.3 |
$D_{4}$ |
simple |