| 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 |
| 2.121.abs_bby |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
|
|
|
✓ |
✓ |
✓ |
$( 1 - 11 x )^{4}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$78$ |
$[78, 14158, 1766238, 214300318, 25936780398, 3138421290478, 379749755634558, 45949729006136638, 5559917304060440718, 672749994828810310798]$ |
$10000$ |
$[10000, 207360000, 3129007210000, 45937177436160000, 672733286095506250000, 9849710436157187688960000, 144209906505501735503959210000, 2111377635136324858013549199360000, 30912680480430695903033135340163210000, 452592555611961908987384431044225600000000]$ |
$2$ |
$2$ |
$17$ |
$12$ |
$1$ |
\(\Q\) |
Trivial |
1.121.aw 2 |
| 2.121.abr_bbc |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 21 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$79$ |
$[79, 14201, 1767262, 214319281, 25937083999, 3138425693678, 379749814909159, 45949729757090401, 5559917313086960782, 672749994932217722201]$ |
$10100$ |
$[10100, 207979200, 3130818563600, 45941241768364800, 672741160625762352500, 9849724255269414996480000, 144209929015019290778457758900, 2111377669642447085949324236467200, 30912680530617401044883616435220720400, 452592555681529244479377585282862479480000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-43}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.av |
| 2.121.abq_bag |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 20 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$80$ |
$[80, 14242, 1768160, 214333918, 25937278400, 3138427829122, 379749833235440, 45949729844927038, 5559917312303977520, 672749994901619199202]$ |
$10200$ |
$[10200, 208569600, 3132407035800, 45944378910720000, 672746202824425455000, 9849730957199895358598400, 144209935974420736473444259800, 2111377673678516790566845317120000, 30912680526264078854007659567234362200, 452592555660944088288443808153724484640000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-21}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.au |
| 2.121.abq_bah |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$80$ |
$[80, 14244, 1768286, 214338244, 25937387600, 3138430096878, 379749874183760, 45949730508044164, 5559917322113480846, 672749995035625133604]$ |
$10201$ |
$[10201, 208600249, 3132630965776, 45945306460164969, 672749035248192022201, 9849738074401030474240000, 144209951524540359531280017001, 2111377704148569877816653437434569, 30912680580804106268212161996072794896, 452592555751096579982063832254568653388409]$ |
$2$ |
$2$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-43}) \) |
$C_2$ |
1.121.av 2 |
| 2.121.abp_zk |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 19 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$81$ |
$[81, 14281, 1768938, 214344721, 25937385201, 3138428375278, 379749827693961, 45949729634927521, 5559917308574433018, 672749994852640153801]$ |
$10300$ |
$[10300, 209131200, 3133783240000, 45946694313388800, 672748972932909557500, 9849732671269448778240000, 144209933870045224393911696700, 2111377664029095802966738351795200, 30912680505528119823486238917775240000, 452592555627993435745660212124097535480000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-123}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.at |
| 2.121.abp_zl |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 41 x + 661 x^{2} - 4961 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 14283, 1769061, 214348803, 25937483806, 3138430314963, 379749860532501, 45949730128592163, 5559917315293399161, 672749994936547150798]$ |
$10301$ |
$[10301, 209161805, 3134001796781, 45947569523703605, 672751530535592273616, 9849738758839063349455805, 144209946340476235595017018661, 2111377686712852821886907494994405, 30912680542885016010427793956385674661, 452592555684441867548575665798064320000000]$ |
$5$ |
$5$ |
$10$ |
$10$ |
$1$ |
\(\Q(\zeta_{5})\) |
$C_4$ |
simple |
| 2.121.abp_zm |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 21 x + 121 x^{2} )( 1 - 20 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 14285, 1769184, 214352881, 25937582001, 3138432232322, 379749892510041, 45949730595880801, 5559917321330497584, 672749995005026610605]$ |
$10302$ |
$[10302, 209192412, 3134220357528, 45948443880081600, 672754077505875462702, 9849744776340913623379200, 144209958483942891509260606782, 2111377708184639648395427602502400, 30912680576450784070268591003867267928, 452592555730511423787965941069348908190812]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-21}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.au |
| 2.121.abo_yo |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 11 x )^{2}( 1 - 18 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$82$ |
$[82, 14318, 1769602, 214352158, 25937423602, 3138427883918, 379749810661282, 45949729354708798, 5559917305391377042, 672749994829453514798]$ |
$10400$ |
$[10400, 209664000, 3134957789600, 45948288282624000, 672749968943582660000, 9849731129173022540544000, 144209927401888872504587453600, 2111377651153121298536326692864000, 30912680487830591807719885047285706400, 452592555612394624475091667261878240000000]$ |
$10$ |
$10$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-10}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.as |
| 2.121.abo_yp |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 40 x + 639 x^{2} - 4840 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 14320, 1769722, 214356004, 25937512402, 3138429536566, 379749836882722, 45949729721499844, 5559917310029136202, 672749994883808616400]$ |
$10401$ |
$[10401, 209694561, 3135170975364, 45949112871815049, 672752272217918788401, 9849736315894379793662736, 144209937359476594994725613121, 2111377668007070745177437836867209, 30912680513616149243327815809705565764, 452592555648962018799759545703394781945601]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.253584.1 |
$D_{4}$ |
simple |
| 2.121.abo_yq |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 40 x + 640 x^{2} - 4840 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 14322, 1769842, 214359846, 25937600802, 3138431168082, 379749862317922, 45949730065183038, 5559917314096909522, 672749994925923719602]$ |
$10402$ |
$[10402, 209725124, 3135384164962, 45949936606804496, 672754565118979956802, 9849741436295104561076804, 144209947018489992015617687362, 2111377683799220677060443668480000, 30912680536232632546557523508775677602, 452592555677294954264006494115769901937604]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.225536.2 |
$D_{4}$ |
simple |
| 2.121.abo_yr |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )( 1 - 19 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 14324, 1769962, 214363684, 25937688802, 3138432778478, 379749886968562, 45949730385881284, 5559917317600953082, 672749994956047565204]$ |
$10403$ |
$[10403, 209755689, 3135597358400, 45950759487607689, 672756847646784455603, 9849746490412871877120000, 144209956379567050960771368803, 2111377698535218503095393117845129, 30912680555714825006082362077524257600, 452592555697560771240117548741814536923209]$ |
$6$ |
$6$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-123}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.at |
| 2.121.abo_ys |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 121 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$82$ |
$[82, 14326, 1770082, 214367518, 25937776402, 3138434367766, 379749910836322, 45949730683717438, 5559917320547514322, 672749994974428087606]$ |
$10404$ |
$[10404, 209786256, 3135810555684, 45951581514240000, 672759119801350652004, 9849751478285356893595536, 144209965443345759339816487524, 2111377712220709426689476567040000, 30912680572097461872938082800233901604, 452592555709926267594804319493849494947216]$ |
$18$ |
$18$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-21}) \) |
$C_2$ |
1.121.au 2 |
| 2.121.abn_xs |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 17 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$83$ |
$[83, 14353, 1770158, 214356673, 25937410523, 3138426794158, 379749790667603, 45949729130624833, 5559917304081330398, 672749994837681840673]$ |
$10500$ |
$[10500, 210168000, 3135941298000, 45949255980768000, 672749629712219062500, 9849727709043175876608000, 144209919809293378778310310500, 2111377640856523736096943543168000, 30912680480546840796439934192864658000, 452592555617930230665374526501634755000000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-195}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.ar |
| 2.121.abn_xt |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 617 x^{2} - 4719 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14355, 1770275, 214360291, 25937490278, 3138428197347, 379749811557563, 45949729404540931, 5559917307371824475, 672749994875773455630]$ |
$10501$ |
$[10501, 210198517, 3136149114925, 45950031666713925, 672751698372621561856, 9849732112852974537331525, 144209927742252055011524116621, 2111377653442894365423708276752325, 30912680498841715769973811286966838325, 452592555643556364432903118758975410470912]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.757197.2 |
$D_{4}$ |
simple |
| 2.121.abn_xu |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 618 x^{2} - 4719 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14357, 1770392, 214363905, 25937569643, 3138429580562, 379749831731171, 45949729658275009, 5559917310187598072, 672749994904187602277]$ |
$10502$ |
$[10502, 210229036, 3136356935552, 45950806498203136, 672753756918893950262, 9849736453976309552548864, 144209935403176307827869743318, 2111377665101906652623853055432704, 30912680514497184131105037698034856832, 452592555662671981444142946688116491959276]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.993004.1 |
$D_{4}$ |
simple |
| 2.121.abn_xv |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 619 x^{2} - 4719 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14359, 1770509, 214367515, 25937648618, 3138430943815, 379749851190065, 45949729891943443, 5559917312534381615, 672749994923143830574]$ |
$10503$ |
$[10503, 210259557, 3136564759887, 45951580475250453, 672755805351053145648, 9849740732450854254191133, 144209942792688173765755066623, 2111377675838908045973900656859973, 30912680527545106575366223591052531343, 452592555675424783933780223053932740504832]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.96837.1 |
$D_{4}$ |
simple |
| 2.121.abn_xw |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )( 1 - 18 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14361, 1770626, 214371121, 25937727203, 3138432287118, 379749869935883, 45949730105662561, 5559917314417897106, 672749994932860926201]$ |
$10504$ |
$[10504, 210290080, 3136772587936, 45952353597870720, 672757843669116140104, 9849744948314282083072000, 144209949911409689466195439624, 2111377685659243788233676959009280, 30912680538017296961584089574835621536, 452592555681961959967151333561159174692000]$ |
$12$ |
$12$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-10}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.as |
| 2.121.abn_xx |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 621 x^{2} - 4719 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14363, 1770743, 214374723, 25937805398, 3138433610483, 379749887970263, 45949730299548643, 5559917315843858123, 672749994933556910798]$ |
$10505$ |
$[10505, 210320605, 3136980419705, 45953125866078805, 672759871873100000000, 9849749101604266589333005, 144209956759962891673610807105, 2111377694568256916647235853239205, 30912680545945522311880253247061062305, 452592555682430183601703360174129600000000]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.215125.1 |
$D_{4}$ |
simple |
| 2.121.abn_xy |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 20 x + 121 x^{2} )( 1 - 19 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$83$ |
$[83, 14365, 1770860, 214378321, 25937883203, 3138434913922, 379749905294843, 45949730473717921, 5559917316817969820, 672749994925449042205]$ |
$10506$ |
$[10506, 210351132, 3137188255200, 45953897279889600, 672761889963021866106, 9849753192358481432889600, 144209963338969817236625939946, 2111377702571288262943790737478400, 30912680551361502811672024793841016800, 452592555676975615048454613613486687357212]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-123}) \) |
$C_2$, $C_2$ |
1.121.au $\times$ 1.121.at |
| 2.121.abm_ww |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 16 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$84$ |
$[84, 14386, 1770612, 214358686, 25937360724, 3138425445778, 379749773158644, 45949729017576766, 5559917304695374932, 672749994865880375026]$ |
$10600$ |
$[10600, 210643200, 3136744378600, 45949687426252800, 672748338070451665000, 9849723477253898747040000, 144209913160269794712659175400, 2111377635661995644313651196723200, 30912680483960877629386033603616535400, 452592555636900794506998101122072056480000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-57}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.aq |
| 2.121.abm_wx |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 595 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14388, 1770726, 214362084, 25937432164, 3138426633774, 379749789814500, 45949729225303620, 5559917307155638230, 672749994895809074068]$ |
$10601$ |
$[10601, 210673673, 3136946828864, 45950415926704457, 672750191053017973881, 9849727205694221837960192, 144209919485327972180063332169, 2111377645206988386334394838642953, 30912680497639738125192905293674165824, 452592555657035326635407360178737983047273]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.107072.1 |
$D_{4}$ |
simple |
| 2.121.abm_wy |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 596 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14390, 1770840, 214365478, 25937503224, 3138427802918, 379749805819188, 45949729415457214, 5559917309221784148, 672749994918101463590]$ |
$10602$ |
$[10602, 210704148, 3137149282698, 45951143572453968, 672752034180618504282, 9849730874969285391653748, 144209925563105296600562634138, 2111377653944494591290926436652032, 30912680509127338577146065300333812058, 452592555672032531572730340116116015821108]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.291648.2 |
$D_{4}$ |
simple |
| 2.121.abm_wz |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 597 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14392, 1770954, 214368868, 25937573904, 3138428953222, 379749821174304, 45949729588147588, 5559917310899050074, 672749994932950752952]$ |
$10603$ |
$[10603, 210734625, 3137351740108, 45951870363515625, 672753867453268852483, 9849734485116761173626000, 144209931394207853833209624883, 2111377661879570569321822001015625, 30912680518452798429991212453031802188, 452592555682022390915043759410530274990625]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.115776.2 |
$D_{4}$ |
simple |
| 2.121.abm_xa |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 598 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14394, 1771068, 214372254, 25937644204, 3138430084698, 379749835881444, 45949729743484734, 5559917312192665188, 672749994940549428154]$ |
$10604$ |
$[10604, 210765104, 3137554201100, 45952596299903744, 672755690870984686284, 9849738036174321049991600, 144209936979241729827192572204, 2111377669017270425036811893878784, 30912680525645191492701656672909269100, 452592555687134399617999508947219304747184]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.167600.1 |
$D_{4}$ |
simple |
| 2.121.abm_xb |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )( 1 - 17 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14396, 1771182, 214375636, 25937714124, 3138431197358, 379749849942204, 45949729881578596, 5559917313107850462, 672749994941089252076]$ |
$10605$ |
$[10605, 210795585, 3137756665680, 45953321381632665, 672757504433781745125, 9849741528179636987904000, 144209942318813010622573049445, 2111377675362646057517597064602985, 30912680530733545938478976403572707920, 452592555687497566158285062679829764644625]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-195}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.ar |
| 2.121.abm_xc |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 600 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14398, 1771296, 214379014, 25937783664, 3138432291214, 379749863358180, 45949730002539070, 5559917313649818660, 672749994934761264718]$ |
$10606$ |
$[10606, 210826068, 3137959133854, 45954045608716752, 672759308141675840206, 9849744961170381055985652, 144209947413527782351026525694, 2111377680920747160318671379575808, 30912680533746844304753684056617773374, 452592555683240412695083896010972255152948]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.1449792.4 |
$D_{4}$ |
simple |
| 2.121.abm_xd |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 601 x^{2} - 4598 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14400, 1771410, 214382388, 25937852824, 3138433366278, 379749876130968, 45949730106476004, 5559917313823774338, 672749994921755783440]$ |
$10607$ |
$[10607, 210856553, 3138161605628, 45954768981170393, 672761101994682854607, 9849748335184225424758928, 144209952263992131236585969903, 2111377685696621221468150070584937, 30912680534714023493185899528102040508, 452592555674490975231535911979361317152633]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.752192.1 |
$D_{4}$ |
simple |
| 2.121.abm_xe |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 121 x^{2} )( 1 - 18 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$84$ |
$[84, 14402, 1771524, 214385758, 25937921604, 3138434422562, 379749888262164, 45949730193499198, 5559917313634913844, 672749994902262403202]$ |
$10608$ |
$[10608, 210887040, 3138364081008, 45955491499008000, 672762885992818743408, 9849751650258842367077760, 144209956870812143596388473968, 2111377689695313523468604325888000, 30912680533663974769666031842369454448, 452592555661376803776197875339634131056000]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-10}) \) |
$C_2$, $C_2$ |
1.121.au $\times$ 1.121.as |
| 2.121.abm_xf |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 121 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$84$ |
$[84, 14404, 1771638, 214389124, 25937990004, 3138435460078, 379749899753364, 45949730263718404, 5559917313088425318, 672749994876469996804]$ |
$10609$ |
$[10609, 210917529, 3138566560000, 45956213162244009, 672764660136099533809, 9849754906431904258560000, 144209961234593905841424899809, 2111377692921867143297902048150089, 30912680530625543764315468979846560000, 452592555644024962504503854621517099018009]$ |
$12$ |
$12$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
1.121.at 2 |
| 2.121.abl_wa |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 11 x )^{2}( 1 - 15 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$85$ |
$[85, 14417, 1770970, 214358593, 25937286925, 3138424091822, 379749761166805, 45949729022978113, 5559917306644685290, 672749994898547428577]$ |
$10700$ |
$[10700, 211089600, 3137377644800, 45949667493600000, 672746423938224267500, 9849719227964764745318400, 144209908606371397479662408300, 2111377635910186077547413705600000, 30912680494798882029007229868635859200, 452592555658877554616200419099363059640000]$ |
$0$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-259}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.ap |
| 2.121.abl_wb |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 573 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14419, 1771081, 214361779, 25937350750, 3138425095723, 379749774515665, 45949729185033859, 5559917308624270501, 672749994924839464654]$ |
$10701$ |
$[10701, 211120029, 3137574730581, 45950350526180469, 672748079400745088976, 9849722378635027687693725, 144209913675598323284045585661, 2111377643356603761184150908697509, 30912680505805212113049708258486263541, 452592555676565521754413809160740223709184]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.40725.3 |
$D_{4}$ |
simple |
| 2.121.abl_wc |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 574 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14421, 1771192, 214364961, 25937414205, 3138426081858, 379749787274005, 45949729331832321, 5559917310277475752, 672749994945105365701]$ |
$10702$ |
$[10702, 211150460, 3137771819800, 45951032703823040, 672749725267483149262, 9849725473548268782464000, 144209918520575430982972032862, 2111377650101953371156519861359360, 30912680514996896606063716381930394200, 452592555690199406581402889045033978941500]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.5480060.1 |
$D_{4}$ |
simple |
| 2.121.abl_wd |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 575 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14423, 1771303, 214368139, 25937477290, 3138427050239, 379749799443379, 45949729463477395, 5559917311609076929, 672749994959514652718]$ |
$10703$ |
$[10703, 211180893, 3137968912463, 45951714026541477, 672751361538452773808, 9849728512742158359319077, 144209923141892855917050184727, 2111377656151008901940792841250533, 30912680522400489039633723067112399807, 452592555699893254349113994119766727560448]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.6698517.1 |
$D_{4}$ |
simple |
| 2.121.abl_we |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 576 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14425, 1771414, 214371313, 25937540005, 3138428000878, 379749811025341, 45949729580072929, 5559917312623841926, 672749994968236163065]$ |
$10704$ |
$[10704, 211211328, 3138166008576, 45952394494349568, 672752988213668356944, 9849731496254366840598528, 144209927540140733505555105744, 2111377661508542142473800292877312, 30912680528042498510506868213507476224, 452592555705760650390694783112839398931008]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.444312.2 |
$D_{4}$ |
simple |
| 2.121.abl_wf |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 577 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14427, 1771525, 214374483, 25937602350, 3138428933787, 379749822021445, 45949729681722723, 5559917313326530645, 672749994971438050702]$ |
$10705$ |
$[10705, 211241765, 3138363108145, 45953074107261125, 672754605293144362000, 9849734424122564741705285, 144209931715909199247108774145, 2111377666179322676153646919941125, 30912680531949389680593506995399322305, 452592555707914720281954555401852637696000]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.6866765.2 |
$D_{4}$ |
simple |
| 2.121.abl_wg |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )( 1 - 16 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14429, 1771636, 214377649, 25937664325, 3138429848978, 379749832433245, 45949729768530529, 5559917313721894996, 672749994969287786429]$ |
$10706$ |
$[10706, 211272204, 3138560211176, 45953752865289984, 672756212776895321426, 9849737296384422671520000, 144209935669788388720363263986, 2111377670168117880840433404632064, 30912680534147582776967761120665115496, 452592555706468130002824574743069365551884]$ |
$12$ |
$12$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-57}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.aq |
| 2.121.abl_wh |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 579 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14431, 1771747, 214380811, 25937725930, 3138430746463, 379749842262295, 45949729840600051, 5559917313814678897, 672749994961952158126]$ |
$10707$ |
$[10707, 211302645, 3138757317675, 45954430768450005, 672757810664935836912, 9849740113077611332816125, 144209939402368437584686830267, 2111377673479692928856983777066245, 30912680534663453591868077196783132075, 452592555701533086098818399515483287328000]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.5047245.2 |
$D_{4}$ |
simple |
| 2.121.abl_wi |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 580 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14433, 1771858, 214383969, 25937787165, 3138431626254, 379749851510149, 45949729898034945, 5559917313609618274, 672749994949597270993]$ |
$10708$ |
$[10708, 211333088, 3138954427648, 45955107816755072, 672759398957280579508, 9849742874239801522675712, 144209942914239481580852902132, 2111377676118810786989578458111488, 30912680533523333482697792256187155712, 452592555693221335842492219555987194689248]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.945608.2 |
$D_{4}$ |
simple |
| 2.121.abl_wj |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 581 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14435, 1771969, 214387123, 25937848030, 3138432488363, 379749860178361, 45949729940938819, 5559917313111441061, 672749994932388547790]$ |
$10709$ |
$[10709, 211363533, 3139151541101, 45955784010219093, 672760977653944289744, 9849745579908664132905933, 144209946205991656531731989189, 2111377678090232216488692998886117, 30912680530753509372025706493301199789, 452592555681644167394905199662166295441408]$ |
$15$ |
$15$ |
$2$ |
$2$ |
$1$ |
4.0.276653.1 |
$D_{4}$ |
simple |
| 2.121.abl_wk |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 121 x^{2} )( 1 - 17 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14437, 1772080, 214390273, 25937908525, 3138433332802, 379749868268485, 45949729969415233, 5559917312324867200, 672749994910490729077]$ |
$10710$ |
$[10710, 211393980, 3139348658040, 45956459348856000, 672762546754941777750, 9849748230121870150456320, 144209949278215098342986505990, 2111377679398715773069742540256000, 30912680526380223747586663265797813560, 452592555666912409967079829839775266709500]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-195}) \) |
$C_2$, $C_2$ |
1.121.au $\times$ 1.121.ar |
| 2.121.abl_wl |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 37 x + 583 x^{2} - 4477 x^{3} + 14641 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$85$ |
$[85, 14439, 1772191, 214393419, 25937968650, 3138434159583, 379749875782075, 45949729983567699, 5559917311254608641, 672749994884067873454]$ |
$10711$ |
$[10711, 211424429, 3139545778471, 45957133832679749, 672764106260287923376, 9849750824917090657836725, 144209952131499943003768519711, 2111377680049017806913832015695269, 30912680520429674662282136412833349751, 452592555649136433981462282372493299811584]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.3725.1 |
$D_{4}$ |
simple |
| 2.121.abl_wm |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 19 x + 121 x^{2} )( 1 - 18 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$85$ |
$[85, 14441, 1772302, 214396561, 25938028405, 3138434968718, 379749882720685, 45949729983499681, 5559917309905369342, 672749994853283357801]$ |
$10712$ |
$[10712, 211454880, 3139742902400, 45957807461704320, 672765656169997676312, 9849753364331996833536000, 144209954766436326587420426072, 2111377680045892462668512120916480, 30912680512928015734180824943224041600, 452592555628426151233382775792089077092000]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \), \(\Q(\sqrt{-10}) \) |
$C_2$, $C_2$ |
1.121.at $\times$ 1.121.as |
| 2.121.abk_ve |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 11 x )^{2}( 1 - 14 x + 121 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$86$ |
$[86, 14446, 1771238, 214356766, 25937199926, 3138422910478, 379749755896646, 45949729125580606, 5559917309130685718, 672749994923068183726]$ |
$10800$ |
$[10800, 211507200, 3137851710000, 45949275913420800, 672744167436243870000, 9849715520405418120960000, 144209906605029599673416593200, 2111377640624742870238956237619200, 30912680508620838838269809569507710000, 452592555675373892517160703377080948480000]$ |
$15$ |
$15$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-2}) \) |
Trivial, $C_2$ |
1.121.aw $\times$ 1.121.ao |
| 2.121.abk_vf |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 551 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14448, 1771346, 214359748, 25937256806, 3138423758358, 379749766712486, 45949729257345028, 5559917310852948866, 672749994947905440048]$ |
$10801$ |
$[10801, 211537585, 3138043433476, 45949915195625385, 672745642758211956241, 9849718181414316140751760, 144209910712342624012153882081, 2111377646679282425506646021702985, 30912680518196479534799334080631925636, 452592555692083156583136030895015479240625]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.5706000.1 |
$D_{4}$ |
simple |
| 2.121.abk_vg |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 552 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14450, 1771454, 214362726, 25937313326, 3138424589522, 379749776994086, 45949729375898686, 5559917312305349174, 672749994967974036530]$ |
$10802$ |
$[10802, 211567972, 3138235160258, 45950553622666000, 672747108743598184802, 9849720789961461970953700, 144209914616778126175767127442, 2111377652126790943188881516544000, 30912680526271705153729692603787725938, 452592555705584304765621392955147067207012]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.9947392.2 |
$D_{4}$ |
simple |
| 2.121.abk_vh |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 553 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$86$ |
$[86, 14452, 1771562, 214365700, 25937369486, 3138425403982, 379749786742958, 45949729481339524, 5559917313492231482, 672749994983422267252]$ |
$10803$ |
$[10803, 211598361, 3138426890352, 45951191194555881, 672748565392415661123, 9849723346084524630683904, 144209918318910291133118460147, 2111377656971768924557107358453449, 30912680532870672646384119331896978672, 452592555715977101906203839183123933027801]$ |
$36$ |
$36$ |
$4$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}, \sqrt{13})\) |
$C_2^2$ |
simple |
| 2.121.abk_vi |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 554 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14454, 1771670, 214368670, 25937425286, 3138426201750, 379749795960614, 45949729573765438, 5559917314417932854, 672749994994397781174]$ |
$10804$ |
$[10804, 211628752, 3138618623764, 45951827911308288, 672750012704677556884, 9849725849821173224064208, 144209921819313303921229954996, 2111377661218714665334151255113728, 30912680538017495730184930011507459316, 452592555723360878841998829412370685479632]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.228672.1 |
$D_{4}$ |
simple |
| 2.121.abk_vj |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 555 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14456, 1771778, 214371636, 25937480726, 3138426982838, 379749804648566, 45949729653274276, 5559917315086782578, 672749995001047582376]$ |
$10805$ |
$[10805, 211659145, 3138810360500, 45952463772936505, 672751450680397110125, 9849728301209076940618000, 144209925118561349645908853645, 2111377664872124255694848132360745, 30912680541736244888653967497785480500, 452592555727834532567110474413184492293625]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.15381520.1 |
$D_{4}$ |
simple |
| 2.121.abk_vk |
$2$ |
$\F_{11^{2}}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 556 x^{2} - 4356 x^{3} + 14641 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14458, 1771886, 214374598, 25937535806, 3138427747258, 379749812808326, 45949729719963838, 5559917315503102166, 672749995003518030298]$ |
$10806$ |
$[10806, 211689540, 3139002100566, 45953098779453840, 672752879319587625366, 9849730700285905055668740, 144209928217228613482375574646, 2111377667936491580266669458493440, 30912680544050947371413053482546724566, 452592555729496526394091781940457661962500]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.15264000.3 |
$D_{4}$ |
simple |
| 2.121.abk_vl |
$2$ |
$\F_{11^{2}}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 121 x^{2} )( 1 - 15 x + 121 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$86$ |
$[86, 14460, 1771994, 214377556, 25937590526, 3138428495022, 379749820441406, 45949729773931876, 5559917315671205354, 672749995001954839980]$ |
$10807$ |
$[10807, 211719937, 3139193843968, 45953732930873625, 672754298622262473727, 9849733047089326930739200, 144209931115889280675894515647, 2111377670416308318130357768427625, 30912680544985587194184446443134462208, 452592555728444890115404908166232457753937]$ |
$44$ |
$44$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-259}) \) |
$C_2$, $C_2$ |
1.121.av $\times$ 1.121.ap |