| 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 |
| 2.64.abg_ou |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
|
|
|
✓ |
✓ |
✓ |
$( 1 - 8 x )^{4}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$33$ |
$[33, 3841, 260097, 16760833, 1073610753, 68718428161, 4398038122497, 281474909601793, 18014397972611073, 1152921500311879681]$ |
$2401$ |
$[2401, 15752961, 68184176641, 281200199450625, 1152780773560811521, 4722294425687923097601, 19342776220372307646873601, 79228143624800094964756250625, 324518543987020277952513142947841, 1329227990833155722679814984029962241]$ |
$1$ |
$1$ |
$19$ |
$12$ |
$1$ |
\(\Q\) |
Trivial |
1.64.aq 2 |
| 2.64.abf_oe |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 8 x )^{2}( 1 - 15 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$34$ |
$[34, 3872, 260626, 16767808, 1073689714, 68719231712, 4398045646546, 281474975229568, 18014398509042994, 1152921504426616352]$ |
$2450$ |
$[2450, 15876000, 68322309650, 281317163400000, 1152865552114267250, 4722349644870882444000, 19342809311458203331120850, 79228162097374332559280400000, 324518553650518532056123744800050, 1329227995577124107633773961178900000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-31}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.ap |
| 2.64.abe_np |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 64 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$35$ |
$[35, 3903, 261155, 16774783, 1073768675, 68720035263, 4398053170595, 281475040857343, 18014399045474915, 1152921508541353023]$ |
$2500$ |
$[2500, 16000000, 68460722500, 281434176000000, 1152950336902562500, 4722404864699536000000, 19342842402600710328722500, 79228180569952877158656000000, 324518563314017073918940214402500, 1329228000321092509518790810000000000]$ |
$3$ |
$3$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-31}) \) |
$C_2$ |
1.64.ap 2 |
| 2.64.abd_my |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 8 x )^{2}( 1 - 13 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$36$ |
$[36, 3928, 261420, 16775536, 1073741796, 68719387336, 4398043777884, 281474934317536, 18014398032634260, 1152921500315679928]$ |
$2548$ |
$[2548, 16098264, 68529639724, 281446754425200, 1152921471322750948, 4722360339189138367176, 19342801093003651533130588, 79228150581662450953622200800, 324518545068301872267320028815764, 1329227990837537109160771672142904504]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-87}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.an |
| 2.64.abd_mz |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 337 x^{2} - 1856 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$36$ |
$[36, 3930, 261507, 16777554, 1073775436, 68719837791, 4398048893484, 281474985126114, 18014398483114083, 1152921503948987050]$ |
$2549$ |
$[2549, 16107131, 68552612276, 281480634897299, 1152957594379246749, 4722391294383123317696, 19342823591656104908403869, 79228164883005478003360636259, 324518553183424854658279455623156, 1329227995026455015981906837933016651]$ |
$3$ |
$3$ |
$2$ |
$2$ |
$1$ |
4.0.23225.1 |
$D_{4}$ |
simple |
| 2.64.abc_mj |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 321 x^{2} - 1792 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3955, 261781, 16778815, 1073763637, 68719503859, 4398044623429, 281474947691263, 18014398262143621, 1152921503502791155]$ |
$2598$ |
$[2598, 16206324, 68624135766, 281501773470528, 1152944924749387638, 4722368346753635641716, 19342804811756846743109382, 79228154346031739660896197888, 324518549202774901373195978129862, 1329227994512026174816454701394134644]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.129168.2 |
$D_{4}$ |
simple |
| 2.64.abc_ml |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 64 x^{2} )( 1 - 13 x + 64 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$37$ |
$[37, 3959, 261949, 16782511, 1073820757, 68720190887, 4398051301933, 281474999945311, 18014398569066181, 1152921504430416599]$ |
$2600$ |
$[2600, 16224000, 68668472600, 281563820928000, 1153006260223493000, 4722415559142843744000, 19342834184132098626279800, 79228169054238310587366912000, 324518554731800158569284137620200, 1329227995581505494130367664981600000]$ |
$18$ |
$18$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-87}) \) |
$C_2$, $C_2$ |
1.64.ap $\times$ 1.64.an |
| 2.64.abb_ls |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
|
|
✓ |
|
✓ |
|
$( 1 - 8 x )^{2}( 1 - 11 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$38$ |
$[38, 3976, 261902, 16777168, 1073715878, 68718866776, 4398038840702, 281474910402208, 18014398103222678, 1152921503039558056]$ |
$2646$ |
$[2646, 16288776, 68655500046, 281474121474000, 1152893643780692646, 4722324566851251515736, 19342779379068289784935806, 79228143850096861591146084000, 324518546339909745324777175316886, 1329227993977954773010729652811272616]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-15}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.al |
| 2.64.abb_lt |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 305 x^{2} - 1728 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$38$ |
$[38, 3978, 261983, 16778866, 1073740718, 68719151391, 4398041577422, 281474934064546, 18014398305146687, 1152921504904070778]$ |
$2647$ |
$[2647, 16297579, 68676859696, 281502622378035, 1152920316123871327, 4722344125408811778496, 19342791415281174698884447, 79228150510452107316694554915, 324518549977449280451259986520496, 1329227996127591587083172495640770779]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.381465.2 |
$D_{4}$ |
simple |
| 2.64.abb_lv |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 307 x^{2} - 1728 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$38$ |
$[38, 3982, 262145, 16782250, 1073789588, 68719692247, 4398046363658, 281474968487314, 18014398509481985, 1152921505993895902]$ |
$2649$ |
$[2649, 16315191, 68719584492, 281559424997691, 1152972791571810999, 4722381292753126898064, 19342812465359708165783589, 79228160199598844333193068979, 324518553658426705819712766907092, 1329227997384074407249099923104502951]$ |
$14$ |
$14$ |
$4$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}, \sqrt{13})\) |
$C_2^2$ |
simple |
| 2.64.abb_lx |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 309 x^{2} - 1728 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$38$ |
$[38, 3986, 262307, 16785618, 1073837378, 68720195351, 4398050241182, 281474986076098, 18014398460135003, 1152921503882687306]$ |
$2651$ |
$[2651, 16332811, 68762316656, 281615962081795, 1153024108062559271, 4722415865910083995456, 19342829518893475864835291, 79228165150401417429573640995, 324518552769470505806933688128816, 1329227994950016615803515468053011491]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.108625.1 |
$D_{4}$ |
simple |
| 2.64.aba_ld |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 289 x^{2} - 1664 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$39$ |
$[39, 3999, 262119, 16777983, 1073712679, 68718855711, 4398040168743, 281474939649279, 18014398464823527, 1152921506146497439]$ |
$2696$ |
$[2696, 16380896, 68712350792, 281487809821568, 1152890210522185416, 4722323806521178206944, 19342785219848857670346248, 79228152082414704039889874432, 324518552853931502099526217320968, 1329227997560012002030049950440159456]$ |
$21$ |
$21$ |
$2$ |
$2$ |
$1$ |
4.0.1088.2 |
$D_{4}$ |
simple |
| 2.64.aba_lf |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 291 x^{2} - 1664 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$39$ |
$[39, 4003, 262275, 16781071, 1073754279, 68719280371, 4398043662051, 281474964715231, 18014398648911015, 1152921507786160003]$ |
$2698$ |
$[2698, 16398444, 68753465854, 281539637533920, 1152934878654743098, 4722352988837506773516, 19342800583566403268565838, 79228159137852150206390033280, 324518556170156862931127676376234, 1329227999450414235208219499178381804]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.1442880.5 |
$D_{4}$ |
simple |
| 2.64.aba_lh |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 64 x^{2} )( 1 - 11 x + 64 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$39$ |
$[39, 4007, 262431, 16784143, 1073794839, 68719670327, 4398046364751, 281474976029983, 18014398639654599, 1152921507154294727]$ |
$2700$ |
$[2700, 16416000, 68794587900, 281591199360000, 1152978430634923500, 4722379786386660384000, 19342812470159589278795100, 79228162322671151715125760000, 324518556003408069492621952212300, 1329227998721923169188366866266400000]$ |
$48$ |
$48$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-15}) \) |
$C_2$, $C_2$ |
1.64.ap $\times$ 1.64.al |
| 2.64.aba_lj |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 295 x^{2} - 1664 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$39$ |
$[39, 4011, 262587, 16787199, 1073834359, 68720025675, 4398048285579, 281474974000575, 18014398449963591, 1152921504563117611]$ |
$2702$ |
$[2702, 16433564, 68835716978, 281642495355872, 1153020866492287422, 4722404205775274588444, 19342820918051898155605346, 79228161751443638203004056448, 324518552586238656816694880832686, 1329227995734499348520048032454545884]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.375872.1 |
$D_{4}$ |
simple |
| 2.64.aba_ll |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 64 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$39$ |
$[39, 4015, 262743, 16790239, 1073872839, 68720346511, 4398049433271, 281474959033279, 18014398092657447, 1152921500319480175]$ |
$2704$ |
$[2704, 16451136, 68876853136, 281693525577984, 1153062186256958224, 4722426253610370317376, 19342825965666978821507344, 79228157538525417810440193024, 324518546149583470184909892320656, 1329227990841918495641742802133107776]$ |
$21$ |
$21$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-87}) \) |
$C_2$ |
1.64.an 2 |
| 2.64.az_km |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
|
|
✓ |
|
✓ |
|
$( 1 - 8 x )^{2}( 1 - 9 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$40$ |
$[40, 4016, 262120, 16775008, 1073666200, 68718478736, 4398038699080, 281474940914368, 18014398452403960, 1152921504505059056]$ |
$2744$ |
$[2744, 16447536, 68712424424, 281437900380000, 1152840305690007704, 4722297901148943205776, 19342778756208740794944584, 79228152438505363164788280000, 324518552630200417591949193187064, 1329227995667562387786429070824101616]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-7}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.aj |
| 2.64.az_kn |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 273 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4018, 262195, 16776418, 1073684200, 68718657823, 4398040286680, 281474955736258, 18014398610159635, 1152921506244990898]$ |
$2745$ |
$[2745, 16456275, 68732175780, 281461561546275, 1152859632713573625, 4722310207830833798400, 19342785738541459645984905, 79228156610496512465490622275, 324518555472074052849240477182820, 1329227997673567228387894540183921875]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.20025.1 |
$D_{4}$ |
simple |
| 2.64.az_kp |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 275 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4022, 262345, 16779226, 1073719450, 68718992087, 4398042943180, 281474976762418, 18014398808163385, 1152921508336094102]$ |
$2747$ |
$[2747, 16473759, 68771683412, 281508684183531, 1152897481748456477, 4722333178141140465744, 19342797421940923903701767, 79228162528834195562225281875, 324518559038992552084565483210732, 1329228000084445085013278452474245279]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.3297921.2 |
$D_{4}$ |
simple |
| 2.64.az_kr |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 277 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4026, 262495, 16782018, 1073753700, 68719294551, 4398044915080, 281474986610658, 18014398858943335, 1152921508793674306]$ |
$2749$ |
$[2749, 16491251, 68811197644, 281555540604275, 1152934257454940329, 4722353963217160684736, 19342806094439906791507429, 79228165300866949456776990275, 324518559953762808854353965033244, 1329228000611999143269123803140534491]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.3385025.1 |
$D_{4}$ |
simple |
| 2.64.az_kt |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 279 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4030, 262645, 16784794, 1073786950, 68719565311, 4398046210780, 281474985654994, 18014398773767485, 1152921507875195350]$ |
$2751$ |
$[2751, 16508751, 68850718524, 281602130861499, 1152969959859007101, 4722372569663602758576, 19342811792983502624418051, 79228165031871123674983366419, 324518558419371083808393406394964, 1329227999553065001650035675704342951]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.2491209.1 |
$D_{4}$ |
simple |
| 2.64.az_ku |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 25 x + 280 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$40$ |
$[40, 4032, 262720, 16786176, 1073803200, 68719688832, 4398046607680, 281474981242368, 18014398683693760, 1152921506979041152]$ |
$2752$ |
$[2752, 16517504, 68870481472, 281625326195456, 1152987408580898752, 4722381057964796230784, 19342813538567409218189632, 79228163789827253090325440000, 324518556796747096480989254402752, 1329227998519869554003002657855557504]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.29189.1 |
$D_{4}$ |
simple |
| 2.64.az_kv |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 281 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4034, 262795, 16787554, 1073819200, 68719804463, 4398046838680, 281474974268674, 18014398563817435, 1152921505833184754]$ |
$2753$ |
$[2753, 16526259, 68890246100, 281648455008579, 1153004588987170553, 4722389004085515360000, 19342814554516940983644353, 79228161826906932524684849859, 324518554637247201290550249398900, 1329227997198787070375622325550257059]$ |
$27$ |
$27$ |
$2$ |
$2$ |
$1$ |
4.0.136721.1 |
$D_{4}$ |
simple |
| 2.64.az_kx |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 283 x^{2} - 1600 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$40$ |
$[40, 4038, 262945, 16790298, 1073850450, 68720012103, 4398046807180, 281474952824178, 18014398240188385, 1152921502915241398]$ |
$2755$ |
$[2755, 16543775, 68929780420, 281694513099275, 1153038144866480125, 4722403273088293936400, 19342814415985591763607295, 79228155790818457613912712275, 324518548807264550235411841993180, 1329227993834627426070464732084859375]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.223025.1 |
$D_{4}$ |
simple |
| 2.64.ay_jw |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
|
|
✓ |
✓ |
|
$( 1 - 8 x )^{2}( 1 - 8 x + 64 x^{2} )$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$41$ |
$[41, 4033, 262145, 16773121, 1073643521, 68718428161, 4398040219649, 281474959933441, 18014398509481985, 1152921503533105153]$ |
$2793$ |
$[2793, 16515009, 68718952449, 281406257229825, 1152815955785449473, 4722294425687923097601, 19342785443735548410724353, 79228157791897854723881959425, 324518553658426690754359001612289, 1329227994546975833618426784307478529]$ |
$0$ |
$0$ |
$19$ |
$30$ |
$6$ |
\(\Q\), \(\Q(\sqrt{-3}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.ai |
| 2.64.ay_jx |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 257 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4035, 262217, 16774399, 1073658761, 68718571971, 4398041520809, 281474973424639, 18014398663633193, 1152921505191809475]$ |
$2794$ |
$[2794, 16523716, 68737901386, 281427700840704, 1152832319058190474, 4722304308160588773316, 19342791166295147978457514, 79228161589332799480295384064, 324518556435368024114505593557546, 1329227996459331717730325361570651076]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.2768400.1 |
$D_{4}$ |
simple |
| 2.64.ay_jz |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 259 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4039, 262361, 16776943, 1073688521, 68718837751, 4398043675577, 281474993402719, 18014398881343913, 1152921507470204839]$ |
$2796$ |
$[2796, 16541136, 68775803892, 281470388136768, 1152864272724944316, 4722322572286774424784, 19342800643058989688984388, 79228167212662731011436717312, 324518560357295753462508540084108, 1329227999086142731728681192482661456]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.390897.1 |
$D_{4}$ |
simple |
| 2.64.ay_kb |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 261 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4043, 262505, 16779471, 1073717321, 68719074491, 4398045240329, 281475004327711, 18014398986482345, 1152921508542492203]$ |
$2798$ |
$[2798, 16558564, 68813712614, 281512808906560, 1152895195905212798, 4722338840823080851396, 19342807524904650133351478, 79228170287774628819396445440, 324518562251301393890762378184974, 1329228000322405894622907319507149604]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.7482640.2 |
$D_{4}$ |
simple |
| 2.64.ay_kd |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 64 x^{2} )( 1 - 9 x + 64 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4047, 262649, 16781983, 1073745161, 68719282287, 4398046223129, 281475006542143, 18014398988835881, 1152921508619795727]$ |
$2800$ |
$[2800, 16576000, 68851627600, 281554963200000, 1152925088621614000, 4722353120372542144000, 19342811847298974717936400, 79228170911081655733939200000, 324518562293698929071779850585200, 1329228000411530789994216990366400000]$ |
$105$ |
$105$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.64.ap $\times$ 1.64.aj |
| 2.64.ay_kf |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 265 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4051, 262793, 16784479, 1073772041, 68719461235, 4398046632041, 281475000387775, 18014398898108969, 1152921507908712211]$ |
$2802$ |
$[2802, 16593444, 68889548898, 281596851067392, 1152953950897267122, 4722365417538490406244, 19342813645708916823165666, 79228169178780828386595760128, 324518560659308161040314961114226, 1329227999591707311282588339211218084]$ |
$60$ |
$60$ |
$2$ |
$2$ |
$1$ |
4.0.609168.2 |
$D_{4}$ |
simple |
| 2.64.ay_kh |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 267 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4055, 262937, 16786959, 1073797961, 68719611431, 4398046475129, 281474986205599, 18014398723923113, 1152921506611318775]$ |
$2804$ |
$[2804, 16610896, 68927476556, 281638472559424, 1152981782755796324, 4722375738924561791056, 19342812955601542238096444, 79228165186853019245302043904, 324518557521454710847554140312276, 1329227998095914516379911094892359376]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.214225.2 |
$D_{4}$ |
simple |
| 2.64.ay_kj |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 269 x^{2} - 1536 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4059, 263081, 16789423, 1073822921, 68719732971, 4398045760457, 281474964335839, 18014398475816873, 1152921504925180539]$ |
$2806$ |
$[2806, 16628356, 68965410622, 281679827727168, 1153008584221334566, 4722384091134702583204, 19342809812444033679831598, 79228159031062958723185796352, 324518553051970019256411470899798, 1329227996151929482239382905763301956]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.1462032.4 |
$D_{4}$ |
simple |
| 2.64.ay_kl |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 64 x^{2} )( 1 - 11 x + 64 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$41$ |
$[41, 4063, 263225, 16791871, 1073846921, 68719825951, 4398044496089, 281474935117951, 18014398163245865, 1152921503043358303]$ |
$2808$ |
$[2808, 16645824, 69003351144, 281720916622080, 1153034355318527448, 4722390480773175327936, 19342804251703695398413128, 79228150806959237362863467520, 324518547421191347479308852469944, 1329227993982336159502052192485773504]$ |
$48$ |
$48$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-87}) \), \(\Q(\sqrt{-15}) \) |
$C_2$, $C_2$ |
1.64.an $\times$ 1.64.al |
| 2.64.ax_jg |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 8 x )^{2}( 1 - 7 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$42$ |
$[42, 4048, 262122, 16770976, 1073625882, 68718474736, 4398042198858, 281474972904256, 18014398456831098, 1152921502065981328]$ |
$2842$ |
$[2842, 16574544, 68712946666, 281370287671200, 1152797017209387802, 4722297626273133409776, 19342794148380484204114762, 79228161442857269538792532800, 324518552709952644592019441491066, 1329227992855497229005498750000265104]$ |
$3$ |
$3$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-23}) \) |
Trivial, $C_2$ |
1.64.aq $\times$ 1.64.ah |
| 2.64.ax_jh |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 241 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4050, 262191, 16772130, 1073638762, 68718592479, 4398043334874, 281474985891138, 18014398606622991, 1152921503575102930]$ |
$2843$ |
$[2843, 16583219, 68731094336, 281389648536803, 1152810846348255963, 4722305717453457894656, 19342799144632178136552107, 79228165098340015170714572483, 324518555408363527208533796455232, 1329227994595395976355885887897719219]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.4369673.1 |
$D_{4}$ |
simple |
| 2.64.ax_jj |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 243 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4054, 262329, 16774426, 1073663832, 68718808087, 4398045222438, 281475006179506, 18014398835618121, 1152921505788920374]$ |
$2845$ |
$[2845, 16600575, 68767394020, 281428170127275, 1152837763893180475, 4722320533811954533200, 19342807446225842339654785, 79228170809008572179558219475, 324518559533573104899226869784540, 1329227997147753714766660110221589375]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.10555137.1 |
$D_{4}$ |
simple |
| 2.64.ax_jl |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 245 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4058, 262467, 16776706, 1073687982, 68718997271, 4398046603818, 281475019148386, 18014398977602043, 1152921507076730978]$ |
$2847$ |
$[2847, 16617939, 68803699536, 281466424902195, 1152863693810239827, 4722333534335393735616, 19342813521597079347520167, 79228174459424129507851541955, 324518562091328092050540349182096, 1329227998632498254827659834370107579]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.13786305.2 |
$D_{4}$ |
simple |
| 2.64.ax_jn |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 247 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4062, 262605, 16778970, 1073711212, 68719160127, 4398047486742, 281475025110354, 18014399041033605, 1152921507610781302]$ |
$2849$ |
$[2849, 16635311, 68840010932, 281504412908411, 1152888636118903299, 4722344725625371899824, 19342817404734605202838109, 79228176137569045668147057299, 324518563234009544487047210606972, 1329227999248216358799324426426690951]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.14609609.1 |
$D_{4}$ |
simple |
| 2.64.ax_jo |
$2$ |
$\F_{2^{6}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 15 x + 64 x^{2} )( 1 - 8 x + 64 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$42$ |
$[42, 4064, 262674, 16780096, 1073722482, 68719231712, 4398047743698, 281475025561216, 18014399045913906, 1152921507647841824]$ |
$2850$ |
$[2850, 16644000, 68858168850, 281523306888000, 1152900736926299250, 4722349644870882444000, 19342818534837223169380050, 79228176264475395472476432000, 324518563321925232852664256646450, 1329227999290944231826880336654100000]$ |
$6$ |
$6$ |
$10$ |
$12$ |
$3$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.64.ap $\times$ 1.64.ai |
| 2.64.ax_jp |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 249 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4066, 262743, 16781218, 1073733522, 68719296751, 4398047878938, 281475024377218, 18014399034292167, 1152921507559180306]$ |
$2851$ |
$[2851, 16652691, 68876328256, 281542134193155, 1152912590839110571, 4722354114283743734016, 19342819129627220292074851, 79228175931209524368689074755, 324518563112566592026935608600896, 1329227999188724461115247172370383491]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.167625.1 |
$D_{4}$ |
simple |
| 2.64.ax_jr |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 251 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4070, 262881, 16783450, 1073754912, 68719407239, 4398047788134, 281475017260018, 18014398965677601, 1152921507085907030]$ |
$2853$ |
$[2853, 16670079, 68912651556, 281579588804043, 1152935557991275563, 4722361706912627924496, 19342818730263813205467897, 79228173927895616127245211603, 324518561876516438943328560468732, 1329227998643077522913403057943706319]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.1249897.1 |
$D_{4}$ |
simple |
| 2.64.ax_jt |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 253 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4074, 263019, 16785666, 1073775382, 68719491687, 4398047222058, 281475004069026, 18014398843410291, 1152921506350818274]$ |
$2855$ |
$[2855, 16687475, 68948980880, 281616776789075, 1152957537596290275, 4722367510114412849600, 19342816240633364676693215, 79228170214961219949666116675, 324518559673944364458521812039760, 1329227997795577886579110214843236875]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.8188817.2 |
$D_{4}$ |
simple |
| 2.64.ax_jv |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 255 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4078, 263157, 16787866, 1073794932, 68719550191, 4398046188438, 281474985113746, 18014398675631133, 1152921505509656278]$ |
$2857$ |
$[2857, 16704879, 68985316276, 281653698196635, 1152978529675528627, 4722371530491762339696, 19342811694724951602849877, 79228164879524085074453319315, 324518556651503723272347975428956, 1329227996825784130300448171052360279]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.4967865.1 |
$D_{4}$ |
simple |
| 2.64.ax_jw |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 23 x + 256 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$42$ |
$[42, 4080, 263226, 16788960, 1073804362, 68719569744, 4398045498714, 281474973571008, 18014398577196906, 1152921505096844080]$ |
$2858$ |
$[2858, 16713584, 69003486266, 281672058949088, 1152988655399793738, 4722372874184682990416, 19342808661288122194103642, 79228161630532184254744369088, 324518554878270321786318198751082, 1329227996349844068896785019549565744]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.54332.1 |
$D_{4}$ |
simple |
| 2.64.ax_jx |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 257 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4082, 263295, 16790050, 1073813562, 68719582847, 4398044695002, 281474960702914, 18014398470401535, 1152921504714056402]$ |
$2859$ |
$[2859, 16722291, 69021657792, 281690353075491, 1152998534250850299, 4722373774647621483264, 19342805126527751145407259, 79228158008485812784625443779, 324518552954415946125898160640192, 1329227995908519922636880925620474451]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.2163369.2 |
$D_{4}$ |
simple |
| 2.64.ax_jz |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 259 x^{2} - 1472 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$42$ |
$[42, 4086, 263433, 16792218, 1073831272, 68719589751, 4398042749478, 281474931144498, 18014398235703417, 1152921504111554806]$ |
$2861$ |
$[2861, 16739711, 69058005476, 281726741474795, 1153017551344604571, 4722374249185222479056, 19342796570031044912759921, 79228149688531858288183350995, 324518548726470540401855640070556, 1329227995213882877101858215164168991]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.358625.1 |
$D_{4}$ |
simple |
| 2.64.aw_ir |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 225 x^{2} - 1408 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$43$ |
$[43, 4063, 262123, 16769791, 1073625643, 68718699871, 4398045195307, 281474989390591, 18014398466549227, 1152921502138740703]$ |
$2892$ |
$[2892, 16634784, 68713321356, 281350423009920, 1152796760649210252, 4722313097332507898016, 19342807326897188215498572, 79228166083348327582601095680, 324518552885018936938795950738636, 1329227992939383077688741635351827104]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.406080.1 |
$D_{4}$ |
simple |
| 2.64.aw_it |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 227 x^{2} - 1408 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$43$ |
$[43, 4067, 262255, 16771855, 1073646763, 68718880307, 4398046968463, 281475010277599, 18014398693734955, 1152921504127653827]$ |
$2894$ |
$[2894, 16652076, 68748020522, 281385048432096, 1152819436840274174, 4722325496728590420684, 19342815125323616372359994, 79228171962519124399365619584, 324518556977633197980970811371502, 1329227995232443786616099641025698476]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.16425024.1 |
$D_{4}$ |
simple |
| 2.64.aw_iv |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 229 x^{2} - 1408 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$43$ |
$[43, 4071, 262387, 16773903, 1073667003, 68719036791, 4398048309187, 281475025240863, 18014398852412683, 1152921505371623431]$ |
$2896$ |
$[2896, 16669376, 68782725136, 281419406769920, 1152841168277570896, 4722336250153830286016, 19342821021891933521998096, 79228176174304021085513784320, 324518559836117046997926595379536, 1329227996666643093343179711184871616]$ |
$60$ |
$60$ |
$2$ |
$2$ |
$1$ |
4.0.88625.1 |
$D_{4}$ |
simple |
| 2.64.aw_ix |
$2$ |
$\F_{2^{6}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 231 x^{2} - 1408 x^{3} + 4096 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$43$ |
$[43, 4075, 262519, 16775935, 1073686363, 68719169419, 4398049224871, 281475034564543, 18014398949856139, 1152921506010587755]$ |
$2898$ |
$[2898, 16686684, 68817435246, 281453498067168, 1152861954977635938, 4722345364208606203356, 19342825049112827589665982, 79228178798686944852437313408, 324518561591502313770909541739442, 1329227997403318803470758777447769244]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.318528.7 |
$D_{4}$ |
simple |
