| 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 |
| 2.343.acw_dbb |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 37 x + 343 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$270$ |
$[270, 116284, 40328448, 13840824820, 4747553031690, 1628413442812078, 558545861252685366, 191581231329033006244, 65712362362598439371904, 22539340290675307938458764]$ |
$94249$ |
$[94249, 13681279089, 1627398540096784, 191574831499639232121, 22539300039687361479847489, 2651730593295364763909071677696, 311973480703523210052633930066487969, 36703368207421291650130329671284712764329, 4318114567334940256397915706448803748950764176, 508021860739241320136782529873231605872174105254049]$ |
$None$ |
$None$ |
$24$ |
$12$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
1.343.abl 2 |
| 2.343.acv_czq |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 37 x + 343 x^{2} )( 1 - 36 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$271$ |
$[271, 116357, 40331416, 13840919209, 4747555642861, 1628413508677934, 558545862805773715, 191581231363767497521, 65712362363341938458248, 22539340290690627895442957]$ |
$94556$ |
$[94556, 13689817680, 1627518272267888, 191576137943075054400, 22539312436371227876344196, 2651730700552215204477154279680, 311973481570994281744435002756599732, 36703368214075768259460539101581083116800, 4318114567383797337776361397737426553974997232, 508021860739586621860487893577615724375401768216400]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abk |
| 2.343.acu_cyg |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$272$ |
$[272, 116430, 40334384, 13841013598, 4747558254032, 1628413574543790, 558545864358862064, 191581231398501988798, 65712362364085437544592, 22539340290705947852427150]$ |
$94864$ |
$[94864, 13698361600, 1627638013248016, 191577444395420160000, 22539324833061912486832144, 2651730807809069983356223494400, 311973482438465355848319495246257296, 36703368220730244869997233416149442560000, 4318114567432654419155359879917443721766516624, 508021860739931923584193491983081840402509083040000]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
1.343.abk 2 |
| 2.343.act_cwu |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 34 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$273$ |
$[273, 116497, 40336710, 13841070409, 4747559241423, 1628413582423354, 558545864102177889, 191581231382274982321, 65712362363508590735370, 22539340290689394848173657]$ |
$95170$ |
$[95170, 13706193060, 1627731837670120, 191578230710743917600, 22539329520750415462109350, 2651730820640254197197119690560, 311973482295095469477641127151483270, 36703368217621454986724778147428408707200, 4318114567394748452599232415501113218248743560, 508021860739558829788490642470741552469759180031300]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abi |
| 2.343.act_cwv |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 71 x + 1945 x^{2} - 24353 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$273$ |
$[273, 116499, 40336923, 13841082795, 4747559772148, 1628413601182743, 558545864680679925, 191581231398344647779, 65712362363918739763779, 22539340290699139458033214]$ |
$95171$ |
$[95171, 13706432249, 1627740438791729, 191578402154353542701, 22539332040403807005773616, 2651730851188300511437322511281, 311973482618215390103852579814525821, 36703368220700101283480341603728387449429, 4318114567421700314177250505012583971057875671, 508021860739778466866115275982409345275024695917824]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.147725.1 |
$D_{4}$ |
simple |
| 2.343.acs_cvj |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 33 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$274$ |
$[274, 116564, 40339048, 13841128900, 4747560355294, 1628413597148078, 558545864143973938, 191581231377169478404, 65712362363298297789304, 22539340290683764137817364]$ |
$95477$ |
$[95477, 13714029849, 1627826154993584, 191579040287951057001, 22539334808916780264311957, 2651730844618193842385112381696, 311973482318440479722459485860584933, 36703368216643336259619165009623866872009, 4318114567380929606324946653198623798181961776, 508021860739431917291691877216702919554926035364249]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-283}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abh |
| 2.343.acs_cvk |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 70 x + 1908 x^{2} - 24010 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$274$ |
$[274, 116566, 40339258, 13841140870, 4747560855094, 1628413614260422, 558545864652067678, 191581231390678389694, 65712362363626484442994, 22539340290691151678308486]$ |
$95478$ |
$[95478, 13714268964, 1627834634771886, 191579205973090086096, 22539337181751264510518718, 2651730872484169190693012542596, 311973482602234137474710092912388262, 36703368219231390119400284530959077397504, 4318114567402495526635147947728944198370503014, 508021860739598427580732539666292186848061536345924]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.869184.4 |
$D_{4}$ |
simple |
| 2.343.acs_cvl |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 70 x + 1909 x^{2} - 24010 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$274$ |
$[274, 116568, 40339468, 13841152836, 4747561354194, 1628413631307462, 558545865155830798, 191581231403958261828, 65712362363944403727124, 22539340290698134425620728]$ |
$95479$ |
$[95479, 13714508081, 1627843114561636, 191579371602893265161, 22539339551262503211995239, 2651730900243802673910233413136, 311973482883608945390378290271872951, 36703368221775564375682443226183463542025, 4318114567423386753836330389068247607641653604, 508021860739755814098567091281349803519622644551121]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.718400.5 |
$D_{4}$ |
simple |
| 2.343.acs_cvm |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )( 1 - 34 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$274$ |
$[274, 116570, 40339678, 13841164798, 4747561852594, 1628413648289210, 558545865655266238, 191581231417009473598, 65712362364252089821714, 22539340290704714805157850]$ |
$95480$ |
$[95480, 13714747200, 1627851594362840, 191579537177360640000, 22539341917450496533333400, 2651730927897113833381403284800, 311973483162566545594955837875509560, 36703368224275931597904320531341578240000, 4318114567443605533978354803496907740134084920, 508021860739904131512196221985976543344224580680000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-6}) \) |
$C_2$, $C_2$ |
1.343.abk $\times$ 1.343.abi |
| 2.343.acr_cty |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 32 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116629, 40341188, 13841177065, 4747561089665, 1628413601042878, 558545863939931471, 191581231367828213809, 65712362363046994120364, 22539340290678694536133789]$ |
$95784$ |
$[95784, 13721632704, 1627912484793504, 191579706942413826816, 22539338295385160791463064, 2651730850960538821488163408896, 311973482204473403971040688406882104, 36703368214853725286098070592267370957824, 4318114567364415848568393308643320394815949216, 508021860739317651814207556880451448527456293004224]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-87}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abg |
| 2.343.acr_ctz |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 69 x + 1871 x^{2} - 23667 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116631, 40341395, 13841188627, 4747561559900, 1628413616630499, 558545864385372425, 191581231379164862323, 65712362363309535744125, 22539340290684320160039486]$ |
$95785$ |
$[95785, 13721871745, 1627920843234655, 191579866979838216525, 22539340527857473162514800, 2651730876343634081387309841265, 311973482453272606954130729529853795, 36703368217025614368222854969111265883125, 4318114567381668078884469331286697422117129965, 508021860739444449665765487410583737216508850105600]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2715237.2 |
$D_{4}$ |
simple |
| 2.343.acr_cua |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 69 x + 1872 x^{2} - 23667 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116633, 40341602, 13841200185, 4747562029445, 1628413632154874, 558545864826705947, 191581231390289459665, 65712362363562828402542, 22539340290689592122068913]$ |
$95786$ |
$[95786, 13722110788, 1627929201687032, 191580026961925459744, 22539342757054012023028526, 2651730901623738744964288050496, 311973482699777620826434373189942318, 36703368219156878425733064708864894131328, 4318114567398312537838392910411392314125092056, 508021860739563276211946334269325455942839937191588]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.3257608.2 |
$D_{4}$ |
simple |
| 2.343.acr_cub |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 69 x + 1873 x^{2} - 23667 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116635, 40341809, 13841211739, 4747562498300, 1628413647616015, 558545865263934935, 191581231401202373059, 65712362363806904612417, 22539340290694512681399550]$ |
$95787$ |
$[95787, 13722349833, 1627937560150641, 191580186888675601389, 22539344982974777530634832, 2651730926800872353537397366225, 311973482943990064254452054216653053, 36703368221247587811855575512782263862549, 4318114567414351362186040793108609213994878799, 508021860739674182373120096994299387730450433641728]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.307749.1 |
$D_{4}$ |
simple |
| 2.343.acr_cuc |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )( 1 - 33 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116637, 40342016, 13841223289, 4747562966465, 1628413663013934, 558545865697062287, 191581231411903969681, 65712362364041796875648, 22539340290699084094801557]$ |
$95788$ |
$[95788, 13722588880, 1627945918625488, 191580346760088686400, 22539347205619769843188948, 2651730951875054448425946599680, 311973483185911555904687153320744324, 36703368223297812870621370312267310572800, 4318114567429786687703912688581153660998180432, 508021860739777219015397370469697461570590636936400]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-283}) \) |
$C_2$, $C_2$ |
1.343.abk $\times$ 1.343.abh |
| 2.343.acr_cud |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 69 x + 1875 x^{2} - 23667 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$275$ |
$[275, 116639, 40342223, 13841234835, 4747563433940, 1628413678348643, 558545866126090901, 191581231422394616659, 65712362364267537679229, 22539340290703308616638014]$ |
$95789$ |
$[95789, 13722827929, 1627954277111579, 191580506576164759741, 22539349424988989118770864, 2651730976846304570950255391881, 311973483425543714443646004459429719, 36703368225307623936865539295187232171669, 4318114567444620649189131268212999287569406921, 508021860739872436950634754368096284147392904711424]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.665725.1 |
$D_{4}$ |
simple |
| 2.343.acq_csn |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 31 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116692, 40343136, 13841215684, 4747561497636, 1628413596624814, 558545863582355820, 191581231356986817796, 65712362362820530788768, 22539340290675412137322132]$ |
$96091$ |
$[96091, 13729001625, 1627991069116048, 191580241470155915625, 22539340232250848123945371, 2651730843766103670066795936000, 311973482004751003514179467094825867, 36703368212776717288322514424358043815625, 4318114567349534408060609701470607241044893712, 508021860739243668710421883690141087595288283545625]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-411}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abf |
| 2.343.acq_csp |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 68 x + 1835 x^{2} - 23324 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116696, 40343544, 13841238004, 4747562380956, 1628413624922006, 558545864358288180, 191581231375804072228, 65712362363233352057448, 22539340290683770190925896]$ |
$96093$ |
$[96093, 13729479561, 1628007543347364, 191580550415747700921, 22539344425871439369689973, 2651730889845637760312192220432, 311973482438144814474346460066539029, 36703368216381750063597216839096063928873, 4318114567376661868859390983894637251826655588, 508021860739432053724764904029081029442994844640441]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.985488.2 |
$D_{4}$ |
simple |
| 2.343.acq_csq |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 68 x + 1836 x^{2} - 23324 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116698, 40343748, 13841249158, 4747562821596, 1628413638978778, 558545864740418124, 191581231384918893886, 65712362363427313643604, 22539340290687488562207418]$ |
$96094$ |
$[96094, 13729718532, 1628015780479534, 191580704805536014224, 22539346517839283181587374, 2651730912735877421817389868996, 311973482651581914531268509598030942, 36703368218127978820685089041945807360000, 4318114567389407542893455177437282856397683326, 508021860739515863360406244105656185477274990822852]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.9421056.2 |
$D_{4}$ |
simple |
| 2.343.acq_csr |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 68 x + 1837 x^{2} - 23324 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116700, 40343952, 13841260308, 4747563261556, 1628413652974350, 558545865118661052, 191581231393838319588, 65712362363613017065776, 22539340290690902630423500]$ |
$96095$ |
$[96095, 13729957505, 1628024017622720, 191580859139986000025, 22539348606578825987472375, 2651730935526458215969411051520, 311973482862847937916104053730026295, 36703368219836773379942322729721736530025, 4318114567401610553463360617058930114589872320, 508021860739592814205704138582908081805999230612625]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.535025.1 |
$D_{4}$ |
simple |
| 2.343.acq_css |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )( 1 - 32 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116702, 40344156, 13841271454, 4747563700836, 1628413666908734, 558545865493019820, 191581231402562705086, 65712362363790493206708, 22539340290694014493117982]$ |
$96096$ |
$[96096, 13730196480, 1628032254776928, 191581013419097702400, 22539350692090067938598496, 2651730958217399684063333575680, 311973483071944479836372377668124512, 36703368221508201896775811821319638220800, 4318114567413272929947172499977598472581212512, 508021860739662953537912972467366271181708431846400]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-87}) \) |
$C_2$, $C_2$ |
1.343.abk $\times$ 1.343.abg |
| 2.343.acq_cst |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 68 x + 1839 x^{2} - 23324 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116704, 40344360, 13841282596, 4747564139436, 1628413680781942, 558545865863497284, 191581231411092406084, 65712362363959772934456, 22539340290696826245501184]$ |
$96097$ |
$[96097, 13730435457, 1628040491942164, 191581167642871165449, 22539352774373009186439697, 2651730980808721367395204764048, 311973483278873135499595527720339073, 36703368223142332517396556907552560797577, 4318114567424396700757772854546632638326695508, 508021860739726328581691129423378305826594562291297]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4535568.1 |
$D_{4}$ |
simple |
| 2.343.acq_csu |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 68 x + 1840 x^{2} - 23324 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$276$ |
$[276, 116706, 40344564, 13841293734, 4747564577356, 1628413694593986, 558545866230096300, 191581231419427778238, 65712362364120887102388, 22539340290699339980450146]$ |
$96098$ |
$[96098, 13730674436, 1628048729118434, 191581321811306433296, 22539354853427649882690498, 2651731003300442807262042777092, 311973483483635500113298318374550274, 36703368224739233378819665275855431548928, 4318114567434983893342860540318364551437670818, 508021860739782986509106401214909197916491283299716]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2339072.2 |
$D_{4}$ |
simple |
| 2.343.acq_csw |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 34 x + 343 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$276$ |
$[276, 116710, 40344972, 13841315998, 4747565451156, 1628413722034630, 558545866951670412, 191581231435516958398, 65712362364418742098836, 22539340290703481757888550]$ |
$96100$ |
$[96100, 13731152400, 1628065203504100, 191581629982162560000, 22539359001852030228302500, 2651731047985163121793554051600, 311973483886667737022255962869384100, 36703368227821618326153934640155944960000, 4318114567454556648801377500057841706386256100, 508021860739876339440198953509276814614126800810000]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-6}) \) |
$C_2$ |
1.343.abi 2 |
| 2.343.acp_crc |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 30 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116753, 40344898, 13841245513, 4747561628467, 1628413586091578, 558545863145220157, 191581231346571276721, 65712362362655814981454, 22539340290674289022658393]$ |
$96398$ |
$[96398, 13736136612, 1628062150007384, 191580654335015667744, 22539340853378513422204298, 2651730826613639754510796965696, 311973481760590687520903032069233386, 36703368210781295103947520143090735798400, 4318114567338710543243467117246888002552328376, 508021860739218354446830413478667880830700011920452]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-118}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abe |
| 2.343.acp_crd |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1797 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116755, 40345099, 13841256283, 4747562043532, 1628413598972815, 558545863486130629, 191581231354548043363, 65712362362825772017447, 22539340290677694888457150]$ |
$96399$ |
$[96399, 13736375505, 1628070265792701, 191580803409276222525, 22539342823926969814236144, 2651730847589621846392340885145, 311973481951004821734538727814615681, 36703368212309493879575853001157837217525, 4318114567349878821578803403633065776628013259, 508021860739295120415052995701910136557570634272000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.159525.2 |
$D_{4}$ |
simple |
| 2.343.acp_cre |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1798 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116757, 40345300, 13841267049, 4747562457927, 1628413611794814, 558545863823354761, 191581231362343646001, 65712362362988254759900, 22539340290680832009446557]$ |
$96400$ |
$[96400, 13736614400, 1628078381588800, 191580952428197120000, 22539344791294597265782000, 2651730868469140012303604326400, 311973482139359966018226234700279600, 36703368213802985032255033169337021440000, 4318114567360555946428636920036060666084846400, 508021860739365829052566284165813288522354987072000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4768997.1 |
$D_{4}$ |
simple |
| 2.343.acp_crg |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1800 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116761, 40345702, 13841288569, 4747563284707, 1628413637261146, 558545864486755261, 191581231377392737873, 65712362363290914809290, 22539340290686307831319921]$ |
$96402$ |
$[96402, 13737092196, 1628094613213368, 191581250300020115616, 22539348716487365924187942, 2651730909938862731292747039552, 311973482509899571789885601126291622, 36703368216686108584186414959802672714368, 4318114567380444453267029689081827610170018456, 508021860739489250465141204210332944242470450142916]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.23182632.1 |
$D_{4}$ |
simple |
| 2.343.acp_crh |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1801 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116763, 40345903, 13841299323, 4747563697092, 1628413649905503, 558545864812937257, 191581231384646916291, 65712362363431150802599, 22539340290688650433710718]$ |
$96403$ |
$[96403, 13737331097, 1628102729041849, 191581399152922300109, 22539350674312507419973648, 2651730930529106366911669107521, 311973482692087176774928319173523701, 36703368218075873018159121511525953965525, 4318114567389659691675732714981068895114695431, 508021860739542051177593149914713335805054023249152]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.22085501.1 |
$D_{4}$ |
simple |
| 2.343.acp_cri |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )( 1 - 31 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116765, 40346104, 13841310073, 4747564108807, 1628413662490670, 558545865135444169, 191581231391721309073, 65712362363564029875112, 22539340290690732094306325]$ |
$96404$ |
$[96404, 13737570000, 1628110844881136, 191581547950485000000, 22539352628956820553124844, 2651730951022964241642398880000, 311973482872222078824164578901878076, 36703368219431193898623685278166260000000, 4318114567398391489439220517524753274502831984, 508021860739588970434127248990847310698079689250000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-411}) \) |
$C_2$, $C_2$ |
1.343.abk $\times$ 1.343.abf |
| 2.343.acp_crj |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1803 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116767, 40346305, 13841320819, 4747564519852, 1628413675016659, 558545865454278811, 191581231398616260691, 65712362363689581333835, 22539340290692554758206782]$ |
$96405$ |
$[96405, 13737808905, 1628118960731235, 191581696692708258525, 22539354580420305468644400, 2651730971420455896757777748505, 311973483050305849686136238906546895, 36703368220752137219950623995436296915925, 4318114567406641772390091733761360641050397505, 508021860739630052076015202915037583286880963462400]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.15969933.1 |
$D_{4}$ |
simple |
| 2.343.acp_crk |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1804 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116769, 40346506, 13841331561, 4747564930227, 1628413687483482, 558545865769443997, 191581231405332115569, 65712362363807834471302, 22539340290694120368251209]$ |
$96406$ |
$[96406, 13738047812, 1628127076592152, 191581845379592118944, 22539356528702962311751426, 2651730991721600873531577435968, 311973483226340061109387741725540322, 36703368222038768967314561548979881665152, 4318114567414412465409955701011472666090898552, 508021860739665339893569067924565926991465996111972]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.11904488.1 |
$D_{4}$ |
simple |
| 2.343.acp_crl |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1805 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116771, 40346707, 13841342299, 4747565339932, 1628413699891151, 558545866080942541, 191581231411869218083, 65712362363918818565575, 22539340290695430865018046]$ |
$96407$ |
$[96407, 13738286721, 1628135192463893, 191581994011136624541, 22539358473804791227881392, 2651731011926418713238501294537, 311973483400326284842466120634987497, 36703368223291155116694227997532982129973, 4318114567421705492429432456925902691423257891, 508021860739694877626146664459477966280863385666816]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.7803237.1 |
$D_{4}$ |
simple |
| 2.343.acp_crn |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 67 x + 1807 x^{2} - 22981 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116775, 40347109, 13841363763, 4747566157332, 1628413724529075, 558545866692950959, 191581231424408543283, 65712362364119096664427, 22539340290697294269730750]$ |
$96409$ |
$[96409, 13738764545, 1628151424239871, 191582291108207744525, 22539362354465965862034544, 2651731052047151146555200871505, 311973483742161056232304634355775171, 36703368225693454479436198819430598401525, 4318114567434866239434757987352488813802250109, 508021860739736877539065611530168349784733253408000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1403525.1 |
$D_{4}$ |
simple |
| 2.343.acp_cro |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 34 x + 343 x^{2} )( 1 - 33 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$277$ |
$[277, 116777, 40347310, 13841374489, 4747566565027, 1628413736759354, 558545866993466461, 191581231430411454481, 65712362364208449152770, 22539340290697851047532257]$ |
$96410$ |
$[96410, 13739003460, 1628159540144120, 191582439573734445600, 22539364290025311872011550, 2651731071963104822719053130560, 311973483910012747386171850694927390, 36703368226843499598776494384941459331200, 4318114567440737802526900339343763034418649560, 508021860739749426943400108935929761886806577771300]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-283}) \) |
$C_2$, $C_2$ |
1.343.abi $\times$ 1.343.abh |
| 2.343.aco_cpr |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 37 x + 343 x^{2} )( 1 - 29 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116812, 40346480, 13841267284, 4747561527698, 1628413571344174, 558545862686378894, 191581231337846004196, 65712362362568393065040, 22539340290675157100332732]$ |
$96705$ |
$[96705, 13743037665, 1628125969513680, 191580955668646083225, 22539340374971914799246025, 2651730802598767690681010807040, 311973481504306798450900388621493705, 36703368209109696649701817703731505022825, 4318114567332965842593596650423587845566274640, 508021860739237920344931085577254008151485531219825]$ |
$None$ |
$None$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-59}) \) |
$C_2$, $C_2$ |
1.343.abl $\times$ 1.343.abd |
| 2.343.aco_cps |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1760 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116814, 40346678, 13841277670, 4747561917098, 1628413583032158, 558545862984247850, 191581231344554404414, 65712362362707075083174, 22539340290677914127352414]$ |
$96706$ |
$[96706, 13743276484, 1628133963980314, 191581099427456229456, 22539342223673828014537066, 2651730821631640120842478098916, 311973481670680271799941244287048626, 36703368210394900223943143810205268399104, 4318114567342078965622456315062618999493930546, 508021860739300061915118306853031389083073064466724]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.23342400.1 |
$D_{4}$ |
simple |
| 2.343.aco_cpt |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1761 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116816, 40346876, 13841288052, 4747562305838, 1628413594662854, 558545863278628706, 191581231351095627748, 65712362362839050995748, 22539340290680437309365536]$ |
$96707$ |
$[96707, 13743515305, 1628141958457508, 191581243130925504025, 22539344069242384817613947, 2651730840571224026567991634960, 311973481835105481345331182553332923, 36703368211648075844903191983925911515625, 4318114567350751414612714590423576551555298212, 508021860739356932773127394142715547443386532724025]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.35678272.2 |
$D_{4}$ |
simple |
| 2.343.aco_cpu |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1762 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116818, 40347074, 13841298430, 4747562693918, 1628413606236274, 558545863569524234, 191581231357470007870, 65712362362964348676806, 22539340290682728461000338]$ |
$96708$ |
$[96708, 13743754128, 1628149952945268, 191581386779053949184, 22539345911677585346085588, 2651730859417538949103796096016, 311973481997583975376623844956464484, 36703368212869287437875075210246264885248, 4318114567358985021233651774108397787312614372, 508021860739408573819481750226506850083279163337488]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2749968.3 |
$D_{4}$ |
simple |
| 2.343.aco_cpv |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1763 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116820, 40347272, 13841308804, 4747563081338, 1628413617752430, 558545863856937206, 191581231363677878404, 65712362363082995986136, 22539340290684789394694100]$ |
$96709$ |
$[96709, 13743992953, 1628157947443600, 191581530371841607209, 22539347750979429737772229, 2651730878170604429697020473600, 311973482158117302183375248353802581, 36703368214058598918956012008198055995209, 4318114567366781616217752732920067372078115600, 508021860739455025905321984890017865016242391037753]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.3048336.1 |
$D_{4}$ |
simple |
| 2.343.aco_cpw |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 66 x + 1764 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$278$ |
$[278, 116822, 40347470, 13841319174, 4747563468098, 1628413629211334, 558545864140870394, 191581231369719572926, 65712362363195020769270, 22539340290686621920693382]$ |
$96710$ |
$[96710, 13744231780, 1628165941952510, 191581673909288520400, 22539349587147918130705550, 2651730896830440009595679338180, 311973482316707010055143791389336310, 36703368215216074195047326451852296524800, 4318114567374143029360706902914312822245960630, 508021860739496329832411324366041155455224308928900]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1029952.1 |
$D_{4}$ |
simple |
| 2.343.aco_cpx |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1765 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116824, 40347668, 13841329540, 4747563854198, 1628413640612998, 558545864421326570, 191581231375595424964, 65712362363300450857484, 22539340290688227847054264]$ |
$96711$ |
$[96711, 13744470609, 1628173936472004, 191581817391394731081, 22539351420183050663128791, 2651730915397065230048674108176, 311973482473354647281490260967953511, 36703368216341777163854448191732975475849, 4318114567381071089521408289451508648677570756, 508021860739532526353141020776317675134706624336049]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.5505600.3 |
$D_{4}$ |
simple |
| 2.343.aco_cpy |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 36 x + 343 x^{2} )( 1 - 30 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116826, 40347866, 13841339902, 4747564239638, 1628413651957434, 558545864698308506, 191581231381305767998, 65712362363399314067798, 22539340290689608979642586]$ |
$96712$ |
$[96712, 13744709440, 1628181931002088, 191581960818160281600, 22539353250084827473496872, 2651730933870499632305794319680, 311973482628061762151977838738595208, 36703368217435771713886912476284129280000, 4318114567387567624621955467248789662657546632, 508021860739563656170535761573305767135625684347200]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-118}) \) |
$C_2$, $C_2$ |
1.343.abk $\times$ 1.343.abe |
| 2.343.aco_cpz |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1767 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116828, 40348064, 13841350260, 4747564624418, 1628413663244654, 558545864971818974, 191581231386850935460, 65712362363491638202976, 22539340290690767122134188]$ |
$96713$ |
$[96713, 13744948273, 1628189925542768, 191582104189585214329, 22539355076853248700476513, 2651730952250762757617718896896, 311973482780829902956172107586300609, 36703368218498121724458360173390359987113, 4318114567393634461647651580432373935577077232, 508021860739589759938259078981950768435712738505313]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2609728.9 |
$D_{4}$ |
simple |
| 2.343.aco_cqa |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1768 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116830, 40348262, 13841360614, 4747565008538, 1628413674474670, 558545865241860746, 191581231392231260734, 65712362363577451051526, 22539340290691704076015150]$ |
$96714$ |
$[96714, 13745187108, 1628197920094050, 191582247505669571664, 22539356900488314482946354, 2651730970537874147236017423300, 311973482931660617983641058133147706, 36703368219528891065686537791950872679424, 4318114567399273426647004342590095904141877050, 508021860739610878260618759441455222412824608116228]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.442176.1 |
$D_{4}$ |
simple |
| 2.343.aco_cqb |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1769 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116832, 40348460, 13841370964, 4747565391998, 1628413685647494, 558545865508436594, 191581231397447077156, 65712362363656780387700, 22539340290692421640582032]$ |
$96715$ |
$[96715, 13745425945, 1628205914655940, 191582390766413396025, 22539358720990024959997075, 2651730988731853342413151413520, 311973483080555455523955095248094515, 36703368220528143598493297503507103296425, 4318114567404486344731726036824150113542170820, 508021860739627051692572253047049701533838336665225]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.29141568.1 |
$D_{4}$ |
simple |
| 2.343.aco_cqc |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1770 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116834, 40348658, 13841381310, 4747565774798, 1628413696763138, 558545865771549290, 191581231402498718014, 65712362363729653971494, 22539340290692921612942114]$ |
$96716$ |
$[96716, 13745664784, 1628213909228444, 191582533971816729856, 22539360538358380270931516, 2651731006832719884402475585936, 311973483227515963866687044565725996, 36703368221495943174604597163924008095744, 4318114567409275040076733515804046091663091116, 508021860739638320739732082991764242466692207508624]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1387600.1 |
$D_{4}$ |
simple |
| 2.343.aco_cqe |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1772 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116838, 40349054, 13841401990, 4747566538418, 1628413718822934, 558545866287396314, 191581231412110805950, 65712362363856144850646, 22539340290693275958526038]$ |
$96718$ |
$[96718, 13746142468, 1628229898405318, 191582820216602095824, 22539364163695025952724438, 2651731042755193173835587010276, 311973483515640186117708125350379134, 36703368223337438817665176306881205244928, 4318114567417587054563296086835187492025322942, 508021860739646307455428666810303893025052886708388]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.9407808.1 |
$D_{4}$ |
simple |
| 2.343.aco_cqf |
$2$ |
$\F_{7^{3}}$ |
$7$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 66 x + 1773 x^{2} - 22638 x^{3} + 117649 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116840, 40349252, 13841412324, 4747566919238, 1628413729767110, 558545866540136186, 191581231416671919364, 65712362363909817594716, 22539340290693133915020200]$ |
$96719$ |
$[96719, 13746381313, 1628237893009700, 191582963255984212969, 22539365971663316603250479, 2651731060576839003790561181200, 311973483656806996605155070708208031, 36703368224211262542086900118653305346889, 4318114567421114017370707732541586464853649700, 508021860739643105888514517535137931811270793013953]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4495936.2 |
$D_{4}$ |
simple |
| 2.343.aco_cqg |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 34 x + 343 x^{2} )( 1 - 32 x + 343 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$278$ |
$[278, 116842, 40349450, 13841422654, 4747567299398, 1628413740654154, 558545866789423994, 191581231421070189886, 65712362363957145483830, 22539340290692781445848682]$ |
$96720$ |
$[96720, 13746620160, 1628245887624720, 191583106240026009600, 22539367776498252646995600, 2651731078305450345580101922560, 311973483796045671053335569150250320, 36703368225053888624758052581489046323200, 4318114567424224044770118270411529881777690960, 508021860739635161465915717184657083868760784428800]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-87}) \) |
$C_2$, $C_2$ |
1.343.abi $\times$ 1.343.abg |
| 2.343.aco_cqh |
$2$ |
$\F_{7^{3}}$ |
$7$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 33 x + 343 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$278$ |
$[278, 116844, 40349648, 13841432980, 4747567678898, 1628413751484078, 558545867035262510, 191581231425305950564, 65712362363998156206704, 22539340290692220337175964]$ |
$96721$ |
$[96721, 13746859009, 1628253882250384, 191583249168727528281, 22539369578199834224325241, 2651731095941046740462049085696, 311973483933357757751834648232481081, 36703368225865380871425120299973476045289, 4318114567426918956252467401752849480035919376, 508021860739622514446601296067481825624729359434449]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-283}) \) |
$C_2$ |
1.343.abh 2 |
