| 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 |
| 2.97.abm_vj |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$60$ |
$[60, 9076, 910014, 88511140, 8587253580, 832972117822, 80798295030828, 7837433783928004, 760231061232421758, 73742412720085649236]$ |
$6241$ |
$[6241, 85433049, 830547886336, 7835827755484521, 73741668375066892561, 693842455032982711013376, 6528363627247453369464489841, 61425366831862299523422825065289, 577951264502807588973867545898406144, 5437943431523461167599899329401128195449]$ |
$2$ |
$2$ |
$24$ |
$12$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
1.97.at 2 |
| 2.97.abl_up |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 535 x^{2} - 3589 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$61$ |
$[61, 9111, 910639, 88518795, 8587315986, 832972227087, 80798287192915, 7837433587530579, 760231057974527233, 73742412675647381086]$ |
$6319$ |
$[6319, 85755149, 831116895031, 7836505239362021, 73742204250941926384, 693842546044866250669541, 6528362993957250735452010559, 61425365292610497183483987394469, 577951262026054982958396662492029039, 5437943428246476058276088582723283258624]$ |
$1$ |
$1$ |
$2$ |
$2$ |
$1$ |
4.0.6725.1 |
$D_{4}$ |
simple |
| 2.97.abl_uq |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 19 x + 97 x^{2} )( 1 - 18 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$61$ |
$[61, 9113, 910750, 88522129, 8587389061, 832973533886, 80798307321877, 7837433862532321, 760231061360292190, 73742412713473769993]$ |
$6320$ |
$[6320, 85775040, 831218635520, 7836800504083200, 73742831790640775600, 693843634574731831357440, 6528364620343191857865519920, 61425367447918421692044060134400, 577951264600018663028659953798152960, 5437943431035885239708363882339582251200]$ |
$0$ |
$0$ |
$24$ |
$12$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.as |
| 2.97.abk_tw |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 516 x^{2} - 3492 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$62$ |
$[62, 9146, 911270, 88526886, 8587395302, 832972804058, 80798289687422, 7837433584319614, 760231057877143742, 73742412677367152666]$ |
$6398$ |
$[6398, 86078692, 831691995806, 7837221476059024, 73742885366502071678, 693843026646676850234788, 6528363195509307720116617502, 61425365267444788023722492792832, 577951261952021029180022123742097502, 5437943428373296163794942327296018958372]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.80128.1 |
$D_{4}$ |
simple |
| 2.97.abk_tx |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 17 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$62$ |
$[62, 9148, 911378, 88530004, 8587460102, 832973885566, 80798304936950, 7837433770308196, 760231059850440146, 73742412695335226668]$ |
$6399$ |
$[6399, 86098545, 831790959552, 7837497600744825, 73743441840801198279, 693843927514346376069120, 6528364427645169068604261303, 61425366725117957464434323882025, 577951263452182243260689786440663488, 5437943429698305291972513860358305868225]$ |
$12$ |
$12$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-11}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.ar |
| 2.97.abk_ty |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 97 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$62$ |
$[62, 9150, 911486, 88533118, 8587524542, 832974949950, 80798319612926, 7837433941136638, 760231061488162622, 73742412706861890750]$ |
$6400$ |
$[6400, 86118400, 831889926400, 7837773373440000, 73743995224569760000, 693844814118486188953600, 6528365613439081416152070400, 61425368063974550039303946240000, 577951264697229737099803209077766400, 5437943430548309311860545382402050560000]$ |
$10$ |
$10$ |
$16$ |
$12$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
1.97.as 2 |
| 2.97.abj_tc |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 496 x^{2} - 3395 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$63$ |
$[63, 9177, 911694, 88529361, 8587367383, 832971780318, 80798272651719, 7837433383206753, 760231056111722958, 73742412667196533897]$ |
$6476$ |
$[6476, 86363936, 832077952304, 7837440482608256, 73742645610317061036, 693842173899978256664576, 6528361819053805395271426604, 61425363691236107119310988915200, 577951260609893318979870617668564016, 5437943427623290197358773387905739019296]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.57800.1 |
$D_{4}$ |
simple |
| 2.97.abj_td |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 497 x^{2} - 3395 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$63$ |
$[63, 9179, 911799, 88532275, 8587424958, 832972684763, 80798284570479, 7837433519128099, 760231057486040343, 73742412679910170814]$ |
$6477$ |
$[6477, 86383749, 832174137909, 7837698529372581, 73743140036008396032, 693842927278085778557781, 6528362782069162114063498293, 61425364756510618818714103385349, 577951261654692077425711863572013981, 5437943428560824457451218695578423578624]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.368589.1 |
$D_{4}$ |
simple |
| 2.97.abj_te |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 16 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$63$ |
$[63, 9181, 911904, 88535185, 8587482183, 832973573122, 80798295971799, 7837433641990369, 760231058585818848, 73742412687641168461]$ |
$6478$ |
$[6478, 86403564, 832270326496, 7837956223958016, 73743631456904466718, 693843667257223631506176, 6528363703276300878018821182, 61425365719435497215794233667584, 577951262490777853455033244991556064, 5437943429130926876297249158265908382124]$ |
$6$ |
$6$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-33}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.aq |
| 2.97.abj_tf |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 499 x^{2} - 3395 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$63$ |
$[63, 9183, 912009, 88538091, 8587539058, 832974445407, 80798306857149, 7837433751887283, 760231059415198203, 73742412690531706078]$ |
$6479$ |
$[6479, 86423381, 832366518071, 7838213566376501, 73744119873016276464, 693844393847393898926861, 6528364582793997866697801191, 61425366580745267467125771198725, 577951263121297798619936911827020759, 5437943429344082094139387021588406052096]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.123725.1 |
$D_{4}$ |
simple |
| 2.97.abj_tg |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 18 x + 97 x^{2} )( 1 - 17 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$63$ |
$[63, 9185, 912114, 88540993, 8587595583, 832975301630, 80798317227999, 7837433848912513, 760231059978310578, 73742412688723347425]$ |
$6480$ |
$[6480, 86443200, 832462712640, 7838470556640000, 73744605284354888400, 693845107058598735052800, 6528365420741029313636193360, 61425367341174078562479853440000, 577951263549393317138767608597913920, 5437943429210729364244625218529597880000]$ |
$0$ |
$0$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-11}) \) |
$C_2$, $C_2$ |
1.97.as $\times$ 1.97.ar |
| 2.97.abi_si |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 476 x^{2} - 3298 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9206, 912028, 88529926, 8587316764, 832970688518, 80798259105376, 7837433274773374, 760231055744994784, 73742412671405569766]$ |
$6554$ |
$[6554, 86630772, 832381967978, 7837490447640144, 73742210929753160474, 693841264462201337706708, 6528360724532686676583269738, 61425362841396714043399527109632, 577951260331095171690301447841681738, 5437943427933674657399263624482648881172]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.291648.2 |
$D_{4}$ |
simple |
| 2.97.abi_sj |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 477 x^{2} - 3298 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9208, 912130, 88532644, 8587367764, 832971442966, 80798268457348, 7837433376809476, 760231056787014850, 73742412682226837368]$ |
$6555$ |
$[6555, 86650545, 832475377260, 7837731126690825, 73742648889619258275, 693841892896301672952720, 6528361480155893079132604995, 61425363641097870935479889222025, 577951261123271187889766161700782380, 5437943428731661038659593399844648106225]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.986688.1 |
$D_{4}$ |
simple |
| 2.97.abi_sk |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 478 x^{2} - 3298 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9210, 912232, 88535358, 8587418424, 832972182330, 80798277343792, 7837433467635198, 760231057605152464, 73742412689197205050]$ |
$6556$ |
$[6556, 86670320, 832568789404, 7837971453382400, 73743083930438584156, 693842508766015750240880, 6528362198165265048966106204, 61425364352938422617347185766400, 577951261745244810806672391947514076, 5437943429245672768769057359199745798000]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.76400.1 |
$D_{4}$ |
simple |
| 2.97.abi_sl |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 15 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9212, 912334, 88538068, 8587468744, 832972906622, 80798285766136, 7837433547338596, 760231058203153678, 73742412692440087532]$ |
$6557$ |
$[6557, 86690097, 832662204416, 7838211427726329, 73743516052221172277, 693843112081344724402176, 6528362878676184667535051909, 61425364977608502767580850365225, 577951262199863905662476119012143104, 5437943429484810746967814923826452171777]$ |
$8$ |
$8$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.ap |
| 2.97.abi_sm |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 480 x^{2} - 3298 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9214, 912436, 88540774, 8587518724, 832973615854, 80798293725808, 7837433616007678, 760231058584757200, 73742412692078320654]$ |
$6558$ |
$[6558, 86709876, 832755622302, 7838451049734096, 73743945254977114158, 693843702852289815020052, 6528363521804034062885481678, 61425365515797868892139883066368, 577951262489970754551428439749594094, 5437943429458133184491284456325639048916]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.827712.1 |
$D_{4}$ |
simple |
| 2.97.abi_sn |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 481 x^{2} - 3298 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9216, 912538, 88543476, 8587568364, 832974310038, 80798301224236, 7837433673730404, 760231058753694394, 73742412688234161616]$ |
$6559$ |
$[6559, 86729657, 832849043068, 7838690319417209, 73744371538716558799, 693844281088852306774928, 6528364127664195410133087583, 61425365968195902324784984077737, 577951262618402056440848970198071548, 5437943429174655622268460244915991580297]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.454208.1 |
$D_{4}$ |
simple |
| 2.97.abi_so |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 97 x^{2} )( 1 - 16 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$64$ |
$[64, 9218, 912640, 88546174, 8587617664, 832974989186, 80798308262848, 7837433720594686, 760231058713689280, 73742412681029289218]$ |
$6560$ |
$[6560, 86749440, 832942466720, 7838929236787200, 73744794903449712800, 693844846801033549789440, 6528364696372050931940519840, 61425366335491608227504612966400, 577951262587988927171403395457145760, 5437943428643350948620232700190497491200]$ |
$16$ |
$16$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-33}) \) |
$C_2$, $C_2$ |
1.97.as $\times$ 1.97.aq |
| 2.97.abi_sp |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 97 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$64$ |
$[64, 9220, 912742, 88548868, 8587666624, 832975653310, 80798314843072, 7837433756688388, 760231058468458534, 73742412670584804100]$ |
$6561$ |
$[6561, 86769225, 833035893264, 7839167801855625, 73745215349186840481, 693845399998834959974400, 6528365228042982898997111649, 61425366618373615590944992655625, 577951262401556899457385202889039376, 5437943427873149416957711808610047255625]$ |
$16$ |
$16$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
1.97.ar 2 |
| 2.97.abh_rp |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 457 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9235, 912377, 88531459, 8587298150, 832970316355, 80798257761545, 7837433329137859, 760231057102212449, 73742412689847519550]$ |
$6633$ |
$[6633, 86898933, 832700140569, 7837626192373989, 73742051094833130768, 693840954461880000518325, 6528360615953470085480436297, 61425363267474745852347997532229, 577951261362894192467410035385927641, 5437943429293628529073182711573241724928]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.193029.1 |
$D_{4}$ |
simple |
| 2.97.abh_rq |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 458 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9237, 912476, 88533985, 8587342865, 832970930946, 80798264759921, 7837433399655745, 760231057797345404, 73742412697374069237]$ |
$6634$ |
$[6634, 86918668, 832790778088, 7837849861288704, 73742435080632898474, 693841466398694333111296, 6528361181410146330657880522, 61425363820153981999029872053248, 577951261891355854037270409153747304, 5437943429848654462264668621692069282188]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.2800908.1 |
$D_{4}$ |
simple |
| 2.97.abh_rr |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 459 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9239, 912575, 88536507, 8587387250, 832971531431, 80798271342035, 7837433460663763, 760231058313671885, 73742412702024267614]$ |
$6635$ |
$[6635, 86938405, 832881418355, 7838073177683125, 73742816233156074800, 693841966585728445697485, 6528361713233585442182436995, 61425364298300260685360287453125, 577951262283883280515515434801369315, 5437943430191571310070362458445934214400]$ |
$21$ |
$21$ |
$2$ |
$2$ |
$1$ |
4.0.3260557.1 |
$D_{4}$ |
simple |
| 2.97.abh_rs |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 14 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$65$ |
$[65, 9241, 912674, 88539025, 8587431305, 832972117822, 80798277509273, 7837433512244449, 760231058654565218, 73742412703904321161]$ |
$6636$ |
$[6636, 86958144, 832972061376, 7838296141568256, 73743194552411821836, 693842455032982711013376, 6528362211535775530564367436, 61425364702560452777711306548224, 577951262543040979187400827410194624, 5437943430330210994581656551370605468224]$ |
$30$ |
$30$ |
$24$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.ao |
| 2.97.abh_rt |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 461 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9243, 912773, 88541539, 8587475030, 832972690131, 80798283263021, 7837433554480291, 760231058823391601, 73742412703119893118]$ |
$6637$ |
$[6637, 86977885, 833062707157, 7838518752955125, 73743570038409356752, 693842931750457561074685, 6528362676428704746631682701, 61425365033581052965219420057125, 577951262671388038418431682309526853, 5437943430272365378063783113269640908800]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.2863413.2 |
$D_{4}$ |
simple |
| 2.97.abh_ru |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 462 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9245, 912872, 88544049, 8587518425, 832973248370, 80798288604665, 7837433587453729, 760231058823510104, 73742412699776103725]$ |
$6638$ |
$[6638, 86997628, 833153355704, 7838741011854784, 73743942691157951918, 693843396748153487507200, 6528363108024361281965581982, 61425365292008179760152706897664, 577951262671478127654586316161631096, 5437943430025786280654098621947830656828]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.2255356.1 |
$D_{4}$ |
simple |
| 2.97.abh_rv |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 463 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9247, 912971, 88546555, 8587561490, 832973792551, 80798293535591, 7837433611247155, 760231058658272669, 73742412693977530462]$ |
$6639$ |
$[6639, 87017373, 833244007023, 7838962918278309, 73744312510666935024, 693843850036071041878341, 6528363506434733369338210407, 61425365478487575498281597708133, 577951262545859497422543727342805679, 5437943429598185498060370851566777183488]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.1540773.2 |
$D_{4}$ |
simple |
| 2.97.abh_rw |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 97 x^{2} )( 1 - 15 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9249, 913070, 88549057, 8587604225, 832974322686, 80798298057185, 7837433625942913, 760231058331024110, 73742412685828208289]$ |
$6640$ |
$[6640, 87037120, 833334661120, 7839184472236800, 73744679496945689200, 693844291624210836029440, 6528363871771809283152740080, 61425365593664606339253260160000, 577951262297074979329914708878479360, 5437943428997234819259068592356659537600]$ |
$7$ |
$7$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.97.as $\times$ 1.97.ap |
| 2.97.abh_rx |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 465 x^{2} - 3201 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9251, 913169, 88551555, 8587646630, 832974838787, 80798302170833, 7837433631623299, 760231057845102113, 73742412675431629886]$ |
$6641$ |
$[6641, 87056869, 833425318001, 7839405673741381, 73745043650003653136, 693844721522573542408741, 6528364204147577339885779601, 61425365638184262266969624669829, 577951261927661986065476647357634129, 5437943428230566044193654097757443457024]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.293725.1 |
$D_{4}$ |
simple |
| 2.97.abh_ry |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 17 x + 97 x^{2} )( 1 - 16 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$65$ |
$[65, 9253, 913268, 88554049, 8587688705, 832975340866, 80798305877921, 7837433628370561, 760231057203837236, 73742412662890745893]$ |
$6642$ |
$[6642, 87076620, 833515977672, 7839626522803200, 73745404969850321202, 693845139741159894405120, 6528364503674025898532117106, 61425365612691157089969069158400, 577951261440152511399412041419504328, 5437943427305771001472878298403688185100]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-33}) \) |
$C_2$, $C_2$ |
1.97.ar $\times$ 1.97.aq |
| 2.97.abg_qv |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 437 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9260, 912546, 88529044, 8587224066, 832969404830, 80798252516418, 7837433349425764, 760231057805928162, 73742412694635350300]$ |
$6711$ |
$[6711, 87128913, 832853890800, 7837412401960569, 73741414918575121071, 693840195188232916435200, 6528360192156283425813943359, 61425363426479852916288390377769, 577951261897880733044004679637746800, 5437943429646694720011470131559006469153]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.143481.1 |
$D_{4}$ |
simple |
| 2.97.abg_qw |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 438 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9262, 912642, 88531390, 8587263426, 832969916206, 80798258135682, 7837433407959550, 760231058466706242, 73742412703018060462]$ |
$6712$ |
$[6712, 87148608, 832941755512, 7837620123116544, 73741752916680318712, 693840621149573672563776, 6528360646183074696221536696, 61425363885234506227276430327808, 577951262400224752605167389574974648, 5437943430264855992372036984638971137088]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.76032.2 |
$D_{4}$ |
simple |
| 2.97.abg_qx |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 439 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9264, 912738, 88533732, 8587302466, 832970414406, 80798263382658, 7837433458385988, 760231058982357666, 73742412709167166864]$ |
$6713$ |
$[6713, 87168305, 833029622852, 7837827491587625, 73742088167281083753, 693841036135760486854160, 6528361070129643160516991177, 61425364280448357830159169415625, 577951262792238980602747351392595268, 5437943430718305934433742785855192027025]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.6537872.1 |
$D_{4}$ |
simple |
| 2.97.abg_qy |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 440 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9266, 912834, 88536070, 8587341186, 832970899442, 80798268258690, 7837433500782334, 760231059355917378, 73742412713174175986]$ |
$6714$ |
$[6714, 87188004, 833117492826, 7838034507384336, 73742420670385691034, 693841440156792968914596, 6528361464104582990855788794, 61425364612726896786815433375744, 577951263076230675772391446608491514, 5437943431013792454812225888790184380324]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.825600.6 |
$D_{4}$ |
simple |
| 2.97.abg_qz |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 13 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9268, 912930, 88538404, 8587379586, 832971371326, 80798272765122, 7837433535225796, 760231059590413410, 73742412715130085268]$ |
$6715$ |
$[6715, 87207705, 833205365440, 7838241170517225, 73742750426002468075, 693841833222670782074880, 6528361828216488393601018315, 61425364882675235977614654282825, 577951263254501842137762830318768320, 5437943431158025924286660362303288148025]$ |
$40$ |
$40$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-219}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.an |
| 2.97.abg_ra |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 442 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9270, 913026, 88540734, 8587417666, 832971830070, 80798276903298, 7837433561793534, 760231059688866882, 73742412715125383350]$ |
$6716$ |
$[6716, 87227408, 833293240700, 7838447480996864, 73743077434139795196, 693842215343393643702800, 6528362162573953609718801084, 61425365090898112101730590408704, 577951263329349229010718874876096700, 5437943431157679193498011818639123942928]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.28736.2 |
$D_{4}$ |
simple |
| 2.97.abg_rb |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 443 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9272, 913122, 88543060, 8587455426, 832972275686, 80798280674562, 7837433580562660, 760231059654292002, 73742412713250050312]$ |
$6717$ |
$[6717, 87247113, 833381118612, 7838653438833849, 73743401694806105637, 693842586528961325521296, 6528362467285572915175934421, 61425365237999885677458322740393, 577951263303064330991492220186969108, 5437943431019387610647295369849663255513]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.6630288.1 |
$D_{4}$ |
simple |
| 2.97.abg_rc |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 444 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9274, 913218, 88545382, 8587492866, 832972708186, 80798284080258, 7837433591610238, 760231059489696066, 73742412709593557914]$ |
$6718$ |
$[6718, 87266820, 833468999182, 7838859044038800, 73743723208009885678, 693842946789373653926340, 6528362742459940621339757662, 61425365324584541042534545920000, 577951263177933387968874960902324638, 5437943430749749039193835745883950316100]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.5605632.1 |
$D_{4}$ |
simple |
| 2.97.abg_rd |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 445 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9276, 913314, 88547700, 8587529986, 832973127582, 80798287121730, 7837433595013284, 760231059198079458, 73742412704244869836]$ |
$6719$ |
$[6719, 87286529, 833556882416, 7839064296622361, 73744041973759674759, 693843296134630510305536, 6528362988205651075380245879, 61425365351255686354461171407849, 577951262956237385120406000936032624, 5437943430355323875553529608008537763249]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.275225.1 |
$D_{4}$ |
simple |
| 2.97.abg_re |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 97 x^{2} )( 1 - 14 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9278, 913410, 88550014, 8587566786, 832973533886, 80798289800322, 7837433590848766, 760231058782435650, 73742412697292441918]$ |
$6720$ |
$[6720, 87306240, 833644768320, 7839269196595200, 73744357992064065600, 693843634574731831357440, 6528363204631298660674336320, 61425365318616553590832260710400, 577951262640252052912561605906116160, 5437943429842635066797110091532325171200]$ |
$62$ |
$62$ |
$24$ |
$12$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.97.as $\times$ 1.97.ao |
| 2.97.abg_rf |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 447 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9280, 913506, 88552324, 8587603266, 832973927110, 80798292117378, 7837433579193604, 760231058245751202, 73742412688824222400]$ |
$6721$ |
$[6721, 87325953, 833732656900, 7839473743968009, 73744671262931704321, 693843962119677609411600, 6528363391845477797212492609, 61425365227269998549664306554889, 577951262232247867100949184254352900, 5437943429218168128348413612121722125953]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.1953936.1 |
$D_{4}$ |
simple |
| 2.97.abg_rg |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 448 x^{2} - 3104 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9282, 913602, 88554630, 8587639426, 832974307266, 80798294074242, 7837433560124670, 760231057591005762, 73742412678927652162]$ |
$6722$ |
$[6722, 87345668, 833820548162, 7839677938751504, 73744981786371290562, 693844278779467892749316, 6528363549956782942007511746, 61425365077818500849729879932928, 577951261734490048730504327961009218, 5437943428488371161682648970305899549188]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.950528.1 |
$D_{4}$ |
simple |
| 2.97.abg_rh |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 97 x^{2} )( 1 - 15 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$66$ |
$[66, 9284, 913698, 88556932, 8587675266, 832974674366, 80798295672258, 7837433533718788, 760231056821172066, 73742412667689664964]$ |
$6723$ |
$[6723, 87365385, 833908442112, 7839881780956425, 73745289562391577603, 693844584564102785925120, 6528363679073808589505578947, 61425364870864163930894660975625, 577951261149238564135691143932945408, 5437943427659654872024668789087347980425]$ |
$9$ |
$9$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.97.ar $\times$ 1.97.ap |
| 2.97.abg_ri |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 16 x + 97 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$66$ |
$[66, 9286, 913794, 88559230, 8587710786, 832975028422, 80798296912770, 7837433500052734, 760231055939215938, 73742412655196687686]$ |
$6724$ |
$[6724, 87385104, 833996338756, 7840085270593536, 73745594591001372484, 693844879483582450088976, 6528363779305149271999575364, 61425364607008715054457871663104, 577951260478748124940705907305174084, 5437943426738392586047243319890033169424]$ |
$26$ |
$26$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-33}) \) |
$C_2$ |
1.97.aq 2 |
| 2.97.abf_qb |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 417 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9283, 912643, 88525699, 8587151902, 832968761731, 80798252000995, 7837433407326211, 760231058418892771, 73742412693043705918]$ |
$6789$ |
$[6789, 87340485, 832942090917, 7837116306853125, 73740795231945621504, 693839659505756799988485, 6528360150511001395996399653, 61425363880270751694696993253125, 577951262363875465249517379604341573, 5437943429529323023055580195835399372800]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.2156733.1 |
$D_{4}$ |
simple |
| 2.97.abf_qc |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 418 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9285, 912736, 88527873, 8587186467, 832969188930, 80798256646531, 7837433459493633, 760231059086091232, 73742412702057537925]$ |
$6790$ |
$[6790, 87360140, 833027184640, 7837308790169600, 73741092051955399750, 693840015349908100136960, 6528360525862262289294933190, 61425364289129456159026432409600, 577951262871100458556266897673738240, 5437943430194024742979740278338933423500]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.7081100.1 |
$D_{4}$ |
simple |
| 2.97.abf_qd |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 419 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9287, 912829, 88530043, 8587220722, 832969603847, 80798260960057, 7837433504765971, 760231059635348023, 73742412709317090782]$ |
$6791$ |
$[6791, 87379797, 833112280871, 7837500920644629, 73741386210244305776, 693840360963552178211901, 6528360874387687220499602423, 61425364643948396711383501400325, 577951263288662530972990905083492639, 5437943430729361685825643987737191249152]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.10794621.1 |
$D_{4}$ |
simple |
| 2.97.abf_qe |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 420 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9289, 912922, 88532209, 8587254667, 832970006494, 80798264942875, 7837433543215393, 760231060069385626, 73742412714900938329]$ |
$6792$ |
$[6792, 87399456, 833197379616, 7837692698288256, 73741677706819769352, 693840696356687960328192, 6528361196192476494253432776, 61425364945293185436078370349568, 577951263618631397890439546856789792, 5437943431141128076128269425448189488416]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.3352968.4 |
$D_{4}$ |
simple |
| 2.97.abf_qf |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 421 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9291, 913015, 88534371, 8587288302, 832970396883, 80798268596287, 7837433574914019, 760231060390919827, 73742412718887178366]$ |
$6793$ |
$[6793, 87419117, 833282480881, 7837884123110549, 73741966541689270528, 693841021539314421024653, 6528361491381830443908132697, 61425365193729058232324608845797, 577951263863071684195638622784708017, 5437943431435083034085184487283892867072]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.15047813.1 |
$D_{4}$ |
simple |
| 2.97.abf_qg |
$2$ |
$\F_{97}$ |
$97$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 97 x^{2} )( 1 - 12 x + 97 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9293, 913108, 88536529, 8587321627, 832970775026, 80798271921595, 7837433599933921, 760231060602659716, 73742412721353432893]$ |
$6794$ |
$[6794, 87438780, 833367584672, 7838075195121600, 73742252714860339754, 693841336521430583566080, 6528361760060949431881359098, 61425365389820874814504668307200, 577951264024042924272028682281823648, 5437943431616950593254780290514412795900]$ |
$24$ |
$24$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-61}) \) |
$C_2$, $C_2$ |
1.97.at $\times$ 1.97.am |
| 2.97.abf_qh |
$2$ |
$\F_{97}$ |
$97$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 423 x^{2} - 3007 x^{3} + 9409 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$67$ |
$[67, 9295, 913201, 88538683, 8587354642, 832971140935, 80798274920101, 7837433618347123, 760231060707307687, 73742412722376848350]$ |
$6795$ |
$[6795, 87458445, 833452690995, 7838265914331525, 73742536226340558000, 693841641313035520246005, 6528362002335033850016099595, 61425365534133118712438329455525, 577951264103599561999606762158661995, 5437943431692419718254506285543887648000]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.195525.1 |
$D_{4}$ |
simple |