Invariants
Base field: | $\F_{181}$ |
Dimension: | $2$ |
L-polynomial: | $1 - 17 x + 228 x^{2} - 3077 x^{3} + 32761 x^{4}$ |
Frobenius angles: | $\pm0.176820765591$, $\pm0.569900268738$ |
Angle rank: | $2$ (numerical) |
Number field: | 4.0.37805724.1 |
Galois group: | $D_{4}$ |
Jacobians: | $480$ |
This isogeny class is simple and geometrically simple, primitive, ordinary, and not supersingular. It is principally polarizable and contains a Jacobian.
Newton polygon
This isogeny class is ordinary.
$p$-rank: | $2$ |
Slopes: | $[0, 0, 1, 1]$ |
Point counts
Point counts of the abelian variety
$r$ | $1$ | $2$ | $3$ | $4$ | $5$ |
---|---|---|---|---|---|
$A(\F_{q^r})$ | $29896$ | $1078767264$ | $35146919568256$ | $1151934390461587584$ | $37738909326496693369576$ |
$r$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ | $9$ | $10$ |
---|---|---|---|---|---|---|---|---|---|---|
$C(\F_{q^r})$ | $165$ | $32929$ | $5927226$ | $1073281009$ | $194265853425$ | $35161842940918$ | $6364290884818605$ | $1151936658789683329$ | $208500535084412010066$ | $37738596846438330998329$ |
Jacobians and polarizations
This isogeny class contains the Jacobians of 480 curves (of which all are hyperelliptic), and hence is principally polarizable:
- $y^2=150x^6+40x^5+70x^4+30x^3+148x^2+152x+141$
- $y^2=44x^6+68x^5+94x^4+121x^3+100x^2+102x+161$
- $y^2=161x^6+27x^5+175x^4+163x^3+140x^2+64x+115$
- $y^2=94x^6+57x^5+96x^4+173x^3+70x^2+110x+33$
- $y^2=157x^6+20x^5+109x^4+69x^3+14x^2+65x+152$
- $y^2=120x^6+17x^5+149x^4+61x^3+86x^2+72x+53$
- $y^2=109x^6+73x^5+117x^4+12x^3+63x^2+103x+66$
- $y^2=65x^6+138x^5+177x^4+122x^3+44x^2+93x+158$
- $y^2=132x^6+125x^5+126x^4+100x^3+84x^2+37x+147$
- $y^2=100x^6+31x^5+53x^4+65x^3+50x^2+21x+37$
- $y^2=150x^6+132x^5+62x^4+68x^3+160x^2+98x+91$
- $y^2=78x^6+32x^5+135x^4+55x^3+93x^2+58x+13$
- $y^2=151x^6+15x^5+162x^4+177x^3+144x^2+21x+141$
- $y^2=71x^6+47x^5+113x^4+102x^3+142x^2+142x$
- $y^2=41x^6+7x^5+63x^4+35x^3+147x^2+175x+158$
- $y^2=72x^6+149x^5+x^4+64x^3+77x^2+155x+6$
- $y^2=72x^6+101x^5+58x^4+38x^3+37x^2+142x+117$
- $y^2=154x^6+177x^5+171x^4+103x^3+173x^2+78x+153$
- $y^2=47x^6+131x^5+80x^4+148x^3+131x^2+180x+126$
- $y^2=173x^6+79x^5+142x^4+169x^3+132x^2+133x+172$
- and 460 more
- $y^2=28x^6+67x^5+145x^4+112x^3+149x^2+51x+145$
- $y^2=55x^6+92x^5+178x^4+26x^3+93x^2+178x+24$
- $y^2=65x^6+9x^5+112x^4+115x^3+32x^2+140x+129$
- $y^2=72x^6+40x^5+129x^4+152x^3+105x^2+150x+139$
- $y^2=180x^6+124x^5+133x^4+101x^3+151x^2+91x+142$
- $y^2=175x^6+177x^5+26x^4+98x^3+155x^2+178x+138$
- $y^2=103x^6+179x^5+135x^4+43x^3+38x^2+129x+44$
- $y^2=6x^6+161x^5+98x^4+10x^3+15x^2+5x+108$
- $y^2=158x^6+76x^5+82x^4+50x^3+29x^2+115x+119$
- $y^2=61x^6+93x^5+15x^4+61x^3+157x^2+79x+21$
- $y^2=149x^6+110x^5+93x^4+173x^3+118x^2+16x+27$
- $y^2=24x^6+86x^5+52x^4+14x^3+159x^2+153x+81$
- $y^2=155x^6+169x^5+65x^4+91x^3+148x^2+106x+19$
- $y^2=151x^6+98x^5+171x^4+174x^3+99x^2+48x+131$
- $y^2=177x^6+34x^5+67x^4+36x^3+148x^2+88x+86$
- $y^2=112x^6+49x^5+138x^4+60x^2+42x+24$
- $y^2=100x^6+11x^5+101x^4+51x^3+23x+19$
- $y^2=87x^5+23x^4+66x^3+27x^2+93x+21$
- $y^2=114x^6+153x^5+78x^4+149x^3+92x^2+27x+11$
- $y^2=24x^6+68x^5+44x^4+18x^3+10x^2+55x+84$
- $y^2=177x^6+28x^5+139x^4+100x^3+170x^2+120x+30$
- $y^2=x^6+149x^5+163x^4+38x^3+177x^2+67x+106$
- $y^2=89x^6+121x^5+170x^4+170x^3+91x^2+116x+10$
- $y^2=168x^6+x^5+175x^4+100x^3+57x^2+23x+88$
- $y^2=13x^6+175x^5+34x^4+19x^3+102x^2+175x+108$
- $y^2=113x^6+179x^5+90x^4+23x^3+135x^2+167x+148$
- $y^2=99x^6+48x^5+65x^4+130x^3+91x^2+103x+140$
- $y^2=71x^6+80x^5+37x^4+49x^3+50x^2+165x+104$
- $y^2=40x^6+165x^5+35x^4+125x^3+19x^2+102x+108$
- $y^2=22x^6+119x^5+6x^4+86x^3+97x^2+38x+28$
- $y^2=93x^6+133x^4+106x^3+60x^2+132x+54$
- $y^2=145x^6+72x^5+96x^4+143x^3+125x^2+28x+154$
- $y^2=149x^6+105x^5+164x^4+167x^3+132x^2+50x+166$
- $y^2=54x^6+128x^5+170x^4+129x^3+94x^2+133x+107$
- $y^2=69x^6+46x^5+43x^4+10x^3+114x^2+110x+150$
- $y^2=15x^6+173x^5+56x^4+133x^3+136x^2+32x+164$
- $y^2=85x^6+173x^5+48x^4+153x^3+92x^2+13x+54$
- $y^2=133x^6+66x^5+142x^4+175x^3+119x^2+14x+157$
- $y^2=42x^6+135x^5+34x^4+157x^3+60x^2+37x+110$
- $y^2=156x^6+123x^5+151x^4+112x^3+89x+57$
- $y^2=174x^6+147x^5+149x^4+24x^3+79x^2+118x+176$
- $y^2=131x^6+44x^5+42x^4+106x^3+124x^2+104x+123$
- $y^2=32x^6+159x^5+163x^4+32x^3+145x^2+142x+81$
- $y^2=152x^6+9x^5+58x^4+151x^3+123x^2+60x+74$
- $y^2=47x^6+97x^5+175x^4+52x^3+106x^2+6x+143$
- $y^2=9x^6+175x^5+174x^4+44x^3+20x^2+92x+161$
- $y^2=162x^6+125x^5+68x^4+138x^3+124x^2+53x+74$
- $y^2=84x^6+21x^5+86x^4+68x^3+61x^2+88x+96$
- $y^2=65x^6+99x^5+90x^4+35x^3+130x^2+159x+48$
- $y^2=74x^6+77x^5+127x^4+84x^3+51x^2+89x+16$
- $y^2=148x^6+133x^5+76x^4+150x^3+38x^2+162x+91$
- $y^2=80x^6+120x^5+175x^4+92x^3+93x^2+x+52$
- $y^2=24x^6+90x^5+71x^4+179x^3+110x^2+56x+131$
- $y^2=35x^6+112x^5+158x^4+179x^3+24x^2+8x+57$
- $y^2=173x^6+73x^5+28x^4+94x^3+92x^2+24x+105$
- $y^2=122x^6+x^5+105x^4+177x^3+166x^2+60x+122$
- $y^2=44x^6+42x^5+117x^4+13x^3+19x^2+46x+175$
- $y^2=33x^6+111x^5+126x^4+162x^3+138x^2+177x+141$
- $y^2=4x^6+175x^5+20x^4+50x^3+142x^2+178x+160$
- $y^2=132x^6+36x^5+67x^4+46x^3+176x^2+10x+35$
- $y^2=126x^6+2x^5+163x^4+41x^3+68x^2+22x+112$
- $y^2=78x^6+153x^5+59x^4+65x^3+54x^2+23x+40$
- $y^2=27x^6+64x^5+99x^4+128x^3+47x^2+118x+35$
- $y^2=133x^5+76x^4+81x^3+66x^2+134x+180$
- $y^2=81x^6+58x^5+155x^4+135x^3+160x^2+61x+179$
- $y^2=137x^6+65x^5+178x^4+141x^3+65x^2+79x+176$
- $y^2=163x^6+110x^5+125x^4+78x^3+74x^2+153x+113$
- $y^2=20x^6+108x^5+58x^4+50x^3+140x^2+169x+174$
- $y^2=14x^6+131x^5+149x^4+164x^3+68x^2+17x+165$
- $y^2=177x^6+40x^5+5x^4+15x^3+29x^2+63x+113$
- $y^2=167x^6+16x^5+117x^4+173x^3+96x^2+158x+45$
- $y^2=148x^6+37x^5+94x^4+87x^3+61x^2+41x+111$
- $y^2=40x^6+92x^5+145x^4+113x^3+74x^2+44x+125$
- $y^2=130x^6+168x^5+40x^4+55x^3+100x^2+104x+10$
- $y^2=13x^6+17x^5+159x^4+130x^3+29x^2+170x$
- $y^2=131x^6+24x^5+21x^4+29x^3+176x^2+175x+5$
- $y^2=65x^6+140x^5+138x^4+163x^3+6x^2+61x+21$
- $y^2=118x^6+168x^5+58x^4+68x^3+130x^2+171x+83$
- $y^2=41x^6+62x^5+67x^4+16x^3+8x^2+154x+66$
- $y^2=86x^6+108x^5+121x^4+132x^3+15x^2+90x+137$
- $y^2=20x^6+30x^5+175x^4+110x^3+125x^2+67x+115$
- $y^2=108x^6+5x^5+131x^4+33x^3+60x^2+108x+97$
- $y^2=179x^5+112x^4+87x^3+161x^2+81x+51$
- $y^2=167x^6+99x^5+173x^4+44x^3+106x^2+113x+49$
- $y^2=17x^6+132x^5+111x^4+170x^3+59x^2+61x+71$
- $y^2=102x^6+99x^5+122x^4+114x^3+134x^2+176x+70$
- $y^2=95x^6+79x^5+124x^4+79x^3+x^2+167x+149$
- $y^2=5x^6+43x^5+96x^4+44x^3+71x^2+165x+179$
- $y^2=12x^6+13x^5+180x^4+2x^3+79x^2+79x+91$
- $y^2=21x^6+175x^5+95x^4+49x^3+177x^2+90x+122$
- $y^2=10x^6+36x^5+97x^4+102x^3+55x^2+175x+118$
- $y^2=52x^6+6x^5+96x^4+116x^3+60x^2+20x+74$
- $y^2=48x^6+10x^5+178x^4+19x^3+28x^2+81x+10$
- $y^2=158x^6+34x^5+9x^4+167x^3+138x^2+50x+51$
- $y^2=68x^6+107x^5+148x^4+115x^3+54x^2+99x+6$
- $y^2=26x^6+18x^5+99x^4+42x^3+75x^2+126x+89$
- $y^2=166x^6+14x^5+147x^4+114x^3+172x^2+21x+76$
- $y^2=65x^6+88x^5+40x^4+143x^2+149x+21$
- $y^2=13x^5+121x^4+163x^3+93x^2+150x+134$
- $y^2=61x^6+173x^5+162x^4+99x^3+176x^2+8x+122$
- $y^2=15x^6+20x^5+13x^4+125x^3+122x^2+117x+28$
- $y^2=129x^6+174x^5+92x^4+156x^3+38x^2+121x+31$
- $y^2=34x^6+26x^5+93x^4+13x^3+156x^2+158x+18$
- $y^2=53x^6+51x^5+175x^4+109x^3+134x^2+23x+113$
- $y^2=126x^6+81x^5+26x^4+20x^3+75x^2+179x+35$
- $y^2=87x^6+167x^5+118x^4+25x^3+143x^2+121x+27$
- $y^2=73x^6+92x^5+61x^4+7x^3+145x^2+130x+163$
- $y^2=10x^6+75x^5+172x^4+64x^3+114x^2+101x+100$
- $y^2=29x^6+37x^5+116x^4+17x^3+41x^2+99x+150$
- $y^2=119x^6+16x^5+93x^4+60x^3+173x^2+50x+85$
- $y^2=30x^6+14x^5+16x^4+39x^3+21x^2+63x+53$
- $y^2=41x^6+42x^5+6x^4+10x^3+42x^2+129x+102$
- $y^2=140x^6+12x^5+62x^4+42x^3+75x^2+131x+96$
- $y^2=156x^6+171x^5+6x^4+109x^3+179x^2+150x+14$
- $y^2=150x^6+56x^5+106x^4+117x^3+114x^2+114x+176$
- $y^2=86x^6+177x^5+147x^4+49x^3+20x^2+112x+65$
- $y^2=154x^6+143x^5+46x^4+45x^3+88x^2+23x+50$
- $y^2=78x^6+174x^5+29x^4+18x^3+144x^2+14x+101$
- $y^2=125x^6+91x^5+12x^4+20x^3+101x^2+43x+4$
- $y^2=58x^6+62x^5+152x^4+47x^3+113x^2+60x+23$
- $y^2=57x^6+111x^5+111x^4+92x^3+111x^2+151x+180$
- $y^2=40x^6+106x^5+14x^4+31x^3+117x^2+x+91$
- $y^2=87x^6+45x^5+83x^4+40x^3+51x^2+25x+95$
- $y^2=12x^6+55x^5+47x^4+35x^3+80x^2+180x+104$
- $y^2=46x^6+37x^5+96x^4+159x^3+80x^2+30x+74$
- $y^2=61x^6+38x^5+149x^4+5x^3+162x^2+127x+83$
- $y^2=57x^6+101x^5+93x^4+159x^3+75x^2+72x+29$
- $y^2=125x^6+91x^5+126x^4+89x^3+145x^2+123x+137$
- $y^2=92x^6+180x^5+71x^4+76x^3+55x^2+142x+139$
- $y^2=108x^6+149x^5+115x^4+151x^3+48x^2+157x+7$
- $y^2=115x^6+133x^5+133x^4+169x^3+101x^2+101x+131$
- $y^2=22x^6+18x^5+79x^4+86x^3+27x^2+13x+17$
- $y^2=108x^6+135x^5+52x^4+158x^3+154x^2+20x+30$
- $y^2=91x^6+89x^5+42x^4+96x^3+169x^2+143x+6$
- $y^2=168x^6+20x^5+x^4+92x^3+44x^2+24x+44$
- $y^2=116x^6+104x^5+109x^4+103x^3+72x^2+53x+8$
- $y^2=91x^6+66x^5+109x^4+24x^3+37x^2+115x+128$
- $y^2=147x^6+11x^5+84x^4+149x^3+36x^2+123x+89$
- $y^2=90x^6+173x^5+163x^4+65x^3+107x^2+175x+97$
- $y^2=17x^6+180x^5+105x^4+27x^3+39x^2+49x+176$
- $y^2=23x^6+29x^5+93x^4+41x^3+55x^2+121x+115$
- $y^2=113x^6+79x^5+164x^4+103x^3+24x^2+11x+41$
- $y^2=161x^6+31x^5+5x^4+168x^3+8x^2+57x+151$
- $y^2=2x^6+24x^5+97x^4+119x^3+67x^2+160x+3$
- $y^2=16x^6+152x^5+68x^4+82x^3+144x^2+94x+52$
- $y^2=51x^6+37x^5+35x^4+57x^3+16x^2+133x+98$
- $y^2=34x^6+105x^5+66x^4+70x^3+41x^2+132x+49$
- $y^2=176x^6+44x^5+61x^4+179x^3+98x^2+88x+45$
- $y^2=21x^5+131x^4+77x^3+2x^2+116x+128$
- $y^2=129x^6+99x^5+10x^4+144x^3+172x^2+155x+116$
- $y^2=65x^6+113x^5+60x^4+101x^3+74x^2+45x+134$
- $y^2=52x^6+79x^5+38x^4+85x^3+154x^2+20x+22$
- $y^2=86x^6+126x^5+8x^4+45x^3+37x^2+76x+89$
- $y^2=86x^6+117x^5+51x^4+151x^3+61x^2+9x+56$
- $y^2=175x^6+26x^5+160x^4+50x^3+153x^2+39x+132$
- $y^2=147x^6+143x^5+101x^4+82x^3+7x^2+136x+128$
- $y^2=54x^6+11x^5+149x^4+180x^3+73x^2+91x+73$
- $y^2=26x^6+14x^5+115x^4+165x^3+76x^2+156x+110$
- $y^2=158x^6+51x^5+30x^4+107x^3+114x^2+56x+22$
- $y^2=160x^6+46x^5+47x^4+84x^3+100x^2+123x+104$
- $y^2=74x^6+91x^5+132x^4+78x^3+117x^2+122x+47$
- $y^2=76x^6+147x^5+144x^4+21x^3+166x^2+93x+163$
- $y^2=103x^6+77x^5+74x^4+27x^3+68x^2+8x+24$
- $y^2=51x^6+109x^5+140x^4+91x^3+69x^2+146x+119$
- $y^2=168x^6+78x^5+161x^4+167x^3+55x^2+80x+58$
- $y^2=x^6+98x^5+125x^4+91x^3+54x^2+20x+122$
- $y^2=180x^6+17x^5+74x^4+24x^3+104x^2+24x+111$
- $y^2=63x^6+70x^5+80x^4+157x^3+10x^2+85x+83$
- $y^2=116x^6+110x^5+154x^4+87x^3+100x^2+20x+96$
- $y^2=30x^6+81x^5+100x^4+65x^3+31x^2+22x+170$
- $y^2=134x^6+136x^5+36x^4+65x^3+11x^2+178x+48$
- $y^2=134x^6+148x^5+93x^4+58x^3+98x^2+93x+100$
- $y^2=169x^6+13x^5+172x^4+58x^3+173x^2+166x+27$
- $y^2=44x^6+8x^5+100x^4+27x^3+124x^2+176x+145$
- $y^2=114x^6+88x^5+154x^4+145x^3+94x^2+103x+163$
- $y^2=180x^6+59x^5+86x^4+154x^3+108x^2+11x+128$
- $y^2=26x^6+60x^5+87x^4+x^3+88x^2+119x+110$
- $y^2=62x^6+x^5+27x^4+64x^3+75x^2+103x+166$
- $y^2=164x^6+143x^5+12x^4+24x^3+48x^2+147x+82$
- $y^2=131x^6+9x^5+43x^4+61x^3+37x^2+169x+87$
- $y^2=6x^6+80x^5+10x^3+121x^2+129x+104$
- $y^2=149x^6+118x^5+160x^4+13x^3+169x^2+111x+133$
- $y^2=78x^6+93x^5+57x^4+22x^3+105x^2+91x+155$
- $y^2=5x^6+97x^5+66x^4+17x^3+58x^2+141x+9$
- $y^2=77x^6+9x^5+74x^4+94x^3+130x^2+126x+66$
- $y^2=58x^6+14x^5+46x^4+76x^3+60x^2+70x+118$
- $y^2=100x^6+137x^5+163x^4+67x^3+107x^2+19x+157$
- $y^2=13x^6+80x^5+149x^4+54x^3+79x^2+129x+107$
- $y^2=53x^6+54x^5+16x^4+67x^3+52x^2+169x+179$
- $y^2=57x^6+5x^5+179x^4+160x^3+173x^2+124x+179$
- $y^2=168x^6+117x^5+33x^4+170x^3+31x^2+94x+18$
- $y^2=173x^6+84x^5+137x^4+171x^3+136x^2+156x+90$
- $y^2=47x^5+125x^4+107x^3+63x^2+116x+93$
- $y^2=150x^6+31x^5+177x^4+x^3+114x^2+134x+115$
- $y^2=43x^6+34x^5+12x^4+143x^3+163x^2+172x+29$
- $y^2=148x^6+50x^5+146x^4+117x^3+49x^2+117x+51$
- $y^2=86x^6+7x^5+153x^4+28x^3+144x^2+174x+40$
- $y^2=126x^6+155x^5+15x^4+42x^3+84x^2+148x+105$
- $y^2=25x^6+108x^5+22x^4+54x^3+81x^2+17x+100$
- $y^2=173x^6+115x^5+104x^4+137x^3+37x^2+102x+163$
- $y^2=46x^6+144x^5+180x^4+x^3+29x^2+28x+6$
- $y^2=84x^6+106x^5+104x^4+91x^3+101x^2+111x+17$
- $y^2=146x^6+125x^5+15x^4+150x^3+137x^2+147x+110$
- $y^2=107x^6+36x^5+135x^4+7x^3+12x^2+160x+91$
- $y^2=163x^6+64x^5+164x^4+140x^3+104x^2+179x+26$
- $y^2=114x^6+13x^5+143x^4+93x^3+59x^2+140x+47$
- $y^2=92x^6+155x^5+128x^4+107x^3+52x^2+69x+177$
- $y^2=171x^6+2x^5+176x^4+38x^3+180x^2+42x+148$
- $y^2=153x^6+124x^5+175x^4+177x^3+139x^2+143x+158$
- $y^2=81x^6+4x^5+149x^4+87x^3+19x^2+37x+104$
- $y^2=78x^6+89x^5+72x^4+113x^3+89x^2+71x+135$
- $y^2=45x^6+94x^5+153x^4+47x^3+12x^2+73x+121$
- $y^2=99x^6+126x^5+172x^4+164x^3+78x^2+74x+155$
- $y^2=174x^6+48x^5+70x^4+179x^3+131x^2+126x+174$
- $y^2=146x^6+3x^5+59x^4+8x^3+44x^2+158x+74$
- $y^2=41x^6+80x^5+117x^4+116x^3+160x^2+171x+150$
- $y^2=51x^6+52x^5+11x^4+139x^3+101x^2+105x+150$
- $y^2=85x^6+101x^5+164x^4+142x^3+145x^2+152x+96$
- $y^2=171x^6+62x^5+154x^4+40x^3+49x^2+75x+80$
- $y^2=125x^6+76x^5+142x^4+80x^3+133x^2+97x+84$
- $y^2=109x^6+94x^5+134x^4+152x^3+140x^2+55x+157$
- $y^2=5x^6+108x^5+41x^4+29x^3+141x^2+14x+175$
- $y^2=108x^6+69x^5+94x^4+156x^3+111x^2+90x+122$
- $y^2=168x^6+46x^5+120x^4+85x^3+33x^2+57x+65$
- $y^2=62x^6+125x^5+129x^4+94x^3+27x^2+136x+138$
- $y^2=131x^6+81x^5+125x^4+52x^3+89x^2+103x+167$
- $y^2=101x^6+3x^5+160x^4+140x^3+142x^2+108x+101$
- $y^2=91x^6+19x^5+56x^4+7x^3+133x^2+147x+43$
- $y^2=6x^6+57x^5+135x^4+33x^3+4x^2+86x+58$
- $y^2=65x^6+138x^5+166x^4+17x^3+159x^2+136x+11$
- $y^2=100x^6+125x^5+69x^4+21x^3+45x^2+82x+131$
- $y^2=32x^6+173x^5+42x^4+55x^3+58x^2+20x+154$
- $y^2=4x^6+136x^5+124x^4+12x^3+84x^2+131x+165$
- $y^2=114x^6+145x^5+32x^4+44x^3+161x^2+113x+152$
- $y^2=138x^6+54x^5+126x^4+2x^3+159x^2+53x+99$
- $y^2=146x^6+141x^5+90x^4+53x^3+136x^2+26x+17$
- $y^2=138x^6+162x^5+60x^4+49x^3+45x^2+61x+68$
- $y^2=166x^6+136x^5+158x^4+57x^3+110x^2+42x+135$
- $y^2=63x^6+70x^5+27x^4+42x^3+151x^2+124x+141$
- $y^2=117x^6+101x^5+66x^4+151x^3+172x^2+21x+121$
- $y^2=45x^6+150x^5+117x^4+102x^3+77x^2+78x+134$
- $y^2=144x^6+94x^5+27x^4+78x^3+97x^2+14x+175$
- $y^2=44x^6+93x^5+159x^4+118x^3+109x^2+8x+29$
- $y^2=160x^6+62x^5+74x^4+122x^3+54x^2+102x+54$
- $y^2=52x^6+128x^5+44x^4+66x^3+55x^2+107x+111$
- $y^2=101x^6+145x^5+52x^4+149x^3+38x^2+99x+6$
- $y^2=145x^6+168x^5+180x^4+144x^3+101x^2+67x+51$
- $y^2=175x^6+107x^5+149x^4+23x^3+84x^2+105x+129$
- $y^2=132x^6+71x^5+94x^4+90x^3+70x^2+22x+102$
- $y^2=22x^6+131x^5+165x^4+169x^3+138x^2+96x+115$
- $y^2=63x^6+50x^5+82x^4+108x^3+31x^2+76x+72$
- $y^2=65x^6+129x^5+26x^4+149x^3+106x^2+50x+36$
- $y^2=151x^6+67x^5+31x^4+11x^3+8x^2+90x+52$
- $y^2=23x^6+59x^5+48x^4+36x^3+163x^2+179x+38$
- $y^2=87x^6+51x^5+141x^4+65x^3+46x+100$
- $y^2=40x^6+108x^5+51x^4+62x^3+65x^2+49x+29$
- $y^2=110x^6+95x^5+131x^4+152x^3+177x^2+118x+106$
- $y^2=43x^6+105x^5+20x^4+104x^3+173x^2+39x+30$
- $y^2=31x^6+28x^5+102x^4+85x^3+41x^2+76x+120$
- $y^2=180x^6+75x^5+48x^4+155x^3+52x^2+159x+12$
- $y^2=94x^6+161x^5+88x^4+121x^3+91x^2+175x+173$
- $y^2=173x^6+23x^5+101x^4+162x^3+117x^2+20x+58$
- $y^2=4x^6+119x^5+9x^4+126x^3+131x^2+148x+165$
- $y^2=180x^6+32x^5+140x^4+139x^3+110x^2+170x+13$
- $y^2=47x^6+12x^5+21x^4+94x^3+15x^2+99x+163$
- $y^2=111x^6+124x^5+175x^4+108x^3+x^2+153x+119$
- $y^2=6x^6+99x^5+53x^4+105x^3+33x^2+114x+106$
- $y^2=87x^6+62x^5+162x^4+98x^3+9x^2+81x+89$
- $y^2=22x^6+96x^5+43x^4+101x^3+59x^2+39x+114$
- $y^2=164x^6+136x^5+20x^4+110x^3+28x^2+170x+64$
- $y^2=137x^6+51x^5+142x^4+61x^3+154x^2+106x+154$
- $y^2=144x^6+73x^5+108x^4+6x^3+35x^2+26x+7$
- $y^2=155x^6+24x^5+79x^4+109x^3+51x^2+24x+23$
- $y^2=64x^6+59x^5+115x^4+95x^3+93x^2+138x+141$
- $y^2=113x^6+154x^5+58x^4+62x^3+46x^2+166x+62$
- $y^2=3x^6+129x^5+135x^4+166x^2+159x+117$
- $y^2=106x^6+75x^5+107x^4+101x^3+58x^2+127x+95$
- $y^2=143x^6+71x^5+168x^4+70x^3+140x^2+127x+153$
- $y^2=23x^6+108x^5+164x^4+80x^3+169x^2+126x+149$
- $y^2=34x^6+125x^5+71x^4+105x^3+115x^2+88x+118$
- $y^2=131x^6+144x^5+154x^4+167x^3+17x^2+49x+144$
- $y^2=148x^6+152x^5+28x^4+119x^3+47x^2+7x+87$
- $y^2=147x^6+147x^5+102x^4+20x^3+160x^2+132x+102$
- $y^2=69x^6+20x^5+157x^4+10x^3+55x^2+129x+35$
- $y^2=47x^6+99x^5+28x^4+16x^3+137x^2+135x+173$
- $y^2=60x^6+165x^5+34x^4+33x^3+46x^2+171x+148$
- $y^2=10x^6+14x^5+135x^4+107x^3+115x^2+172x+159$
- $y^2=64x^6+168x^5+116x^4+173x^3+135x^2+77$
- $y^2=50x^6+67x^5+155x^4+175x^3+42x^2+78x+163$
- $y^2=133x^6+139x^5+97x^4+89x^3+153x^2+90x+22$
- $y^2=137x^6+2x^5+29x^4+9x^3+9x^2+28x+160$
- $y^2=154x^6+86x^5+53x^4+142x^3+72x^2+80x+61$
- $y^2=56x^6+87x^5+12x^4+65x^3+22x^2+112x+132$
- $y^2=163x^6+36x^5+142x^4+111x^3+10x^2+176x+164$
- $y^2=3x^6+71x^5+156x^4+166x^3+24x^2+17x+40$
- $y^2=128x^6+144x^5+93x^4+23x^3+65x^2+76x+17$
- $y^2=2x^6+51x^5+31x^4+49x^3+114x^2+35x+55$
- $y^2=112x^6+44x^5+74x^4+108x^3+47x^2+78x+133$
- $y^2=13x^6+133x^5+71x^4+36x^3+102x^2+130x+60$
- $y^2=31x^6+19x^5+9x^4+78x^3+13x^2+98x+168$
- $y^2=41x^6+168x^5+56x^4+105x^3+7x^2+96x+45$
- $y^2=111x^6+70x^5+156x^4+16x^3+176x^2+60x+72$
- $y^2=120x^6+175x^5+85x^4+164x^3+153x^2+42x+132$
- $y^2=47x^6+101x^5+92x^4+100x^3+12x^2+51x+16$
- $y^2=36x^6+143x^5+121x^4+176x^3+136x^2+112x+115$
- $y^2=10x^6+86x^5+43x^4+145x^3+122x^2+66x+107$
- $y^2=118x^6+130x^5+170x^4+55x^3+156x^2+171x+160$
- $y^2=76x^5+85x^4+61x^3+77x^2+84x+159$
- $y^2=16x^6+51x^5+132x^4+97x^3+2x^2+100x+125$
- $y^2=130x^6+143x^5+88x^4+92x^3+103x^2+98x+102$
- $y^2=157x^6+64x^5+102x^4+16x^3+7x^2+176x+7$
- $y^2=16x^6+174x^5+45x^4+116x^3+123x^2+166x+17$
- $y^2=83x^6+2x^5+95x^4+160x^3+56x^2+48x+123$
- $y^2=172x^6+82x^5+59x^4+166x^3+171x^2+24x+79$
- $y^2=164x^6+84x^5+68x^4+86x^3+18x^2+131x+100$
- $y^2=87x^6+109x^5+140x^4+65x^3+68x^2+13x+84$
- $y^2=96x^6+18x^5+74x^4+153x^3+109x^2+8x+114$
- $y^2=76x^6+134x^5+52x^4+65x^3+167x^2+17x+84$
- $y^2=110x^6+55x^5+19x^4+125x^3+103x^2+70x+84$
- $y^2=120x^6+78x^5+121x^4+142x^3+24x^2+74x+105$
- $y^2=28x^6+126x^5+110x^4+121x^3+110x^2+93x+83$
- $y^2=169x^6+91x^5+129x^4+19x^3+24x^2+81x+2$
- $y^2=81x^6+145x^5+25x^4+138x^3+95x^2+25x+71$
- $y^2=88x^6+121x^5+79x^4+130x^3+41x^2+88x+6$
- $y^2=136x^6+153x^5+104x^4+61x^3+3x^2+44x+105$
- $y^2=13x^6+35x^5+156x^4+138x^3+154x^2+51x+128$
- $y^2=52x^6+129x^5+59x^4+64x^3+100x^2+169x+175$
- $y^2=148x^6+12x^5+68x^4+134x^3+79x^2+41x+35$
- $y^2=24x^6+164x^5+175x^4+61x^3+155x^2+111x+59$
- $y^2=11x^6+155x^5+136x^4+10x^3+127x^2+84x+26$
- $y^2=98x^6+8x^5+77x^4+106x^3+75x^2+125x+69$
- $y^2=99x^6+103x^5+86x^4+25x^3+58x^2+133x+92$
- $y^2=75x^6+51x^5+28x^4+105x^3+39x^2+85x+148$
- $y^2=158x^6+45x^5+67x^4+32x+155$
- $y^2=6x^6+46x^5+49x^4+57x^3+141x^2+10x+47$
- $y^2=58x^6+68x^5+41x^4+108x^3+123x^2+133x+27$
- $y^2=32x^6+2x^5+7x^4+26x^3+110x^2+140x+22$
- $y^2=157x^6+2x^5+178x^4+178x^3+93x^2+54x+64$
- $y^2=113x^6+146x^5+91x^4+85x^3+165x^2+162x+170$
- $y^2=28x^6+74x^5+162x^4+128x^3+142x^2+81x+19$
- $y^2=159x^6+3x^5+43x^4+68x^3+47x^2+71x+175$
- $y^2=157x^6+30x^5+44x^4+100x^3+75x^2+97x+159$
- $y^2=110x^6+175x^5+131x^4+145x^3+90x^2+107x+162$
- $y^2=59x^6+22x^5+162x^4+67x^3+139x^2+74x+137$
- $y^2=70x^6+157x^5+3x^4+171x^3+82x^2+5x+35$
- $y^2=51x^6+132x^5+69x^4+31x^3+50x^2+80x+7$
- $y^2=12x^6+18x^5+103x^4+132x^3+58x^2+32x+126$
- $y^2=161x^6+67x^5+159x^4+155x^3+178x^2+132x+76$
- $y^2=3x^6+80x^5+64x^4+136x^3+163x^2+81x+16$
- $y^2=51x^6+102x^5+18x^4+105x^3+105x^2+118x+131$
- $y^2=176x^6+17x^5+151x^4+153x^3+57x^2+118x+148$
- $y^2=44x^6+144x^5+17x^4+80x^3+105x^2+137x+44$
- $y^2=84x^6+122x^5+103x^4+73x^3+22x^2+79$
- $y^2=21x^6+81x^5+10x^4+38x^3+69x^2+170x+174$
- $y^2=84x^6+157x^5+17x^4+51x^3+27x^2+15x+23$
- $y^2=118x^6+9x^5+12x^4+70x^3+120x^2+55x+26$
- $y^2=127x^6+102x^5+46x^4+60x^3+14x^2+68x+104$
- $y^2=127x^6+12x^5+15x^4+165x^3+26x^2+34x+13$
- $y^2=23x^6+85x^5+31x^4+100x^3+7x^2+58x+52$
- $y^2=120x^6+120x^5+87x^4+175x^3+8x^2+73x+21$
- $y^2=85x^6+176x^5+44x^4+84x^3+122x^2+124x+131$
- $y^2=4x^6+108x^5+147x^4+165x^3+52x^2+174x+149$
- $y^2=118x^6+62x^5+174x^4+63x^3+63x^2+19x+174$
- $y^2=169x^6+108x^5+117x^4+130x^3+130x^2+58x+45$
- $y^2=121x^6+151x^5+41x^4+7x^3+18x^2+4x+106$
- $y^2=111x^6+82x^5+79x^4+103x^3+51x^2+59x+64$
- $y^2=23x^6+13x^5+131x^4+126x^3+127x^2+75x+96$
- $y^2=113x^6+153x^5+38x^4+143x^3+71x^2+92x+130$
- $y^2=136x^6+67x^5+117x^4+145x^3+147x^2+83x+131$
- $y^2=87x^6+138x^5+112x^4+64x^3+139x^2+161x+68$
- $y^2=174x^6+60x^5+159x^4+77x^3+70x^2+67x+149$
- $y^2=28x^6+16x^5+176x^4+131x^3+19x^2+115x+77$
- $y^2=164x^5+168x^4+83x^3+168x^2+124x+165$
- $y^2=145x^6+100x^5+177x^4+127x^3+168x^2+139x+30$
- $y^2=157x^6+132x^5+138x^4+64x^3+72x^2+54x+85$
- $y^2=161x^6+55x^5+76x^4+86x^3+156x^2+143x+100$
- $y^2=107x^6+129x^5+x^4+107x^3+19x^2+129x+129$
- $y^2=72x^6+146x^5+158x^4+7x^3+78x^2+98x+71$
- $y^2=173x^6+72x^5+149x^4+121x^3+3x^2+175x$
- $y^2=81x^6+10x^5+76x^4+69x^3+82x^2+85x+89$
- $y^2=46x^6+81x^5+133x^4+11x^3+58x^2+174x+91$
- $y^2=128x^6+61x^5+85x^4+18x^3+19x^2+55x+84$
- $y^2=94x^6+179x^5+2x^4+152x^3+168x^2+180x+22$
- $y^2=174x^6+101x^5+149x^4+155x^3+180x^2+33x+60$
- $y^2=138x^6+164x^5+98x^4+83x^3+71x^2+44x+128$
- $y^2=60x^6+41x^5+62x^4+163x^3+158x^2+106x+175$
- $y^2=28x^6+159x^5+21x^4+78x^3+159x^2+54x+102$
- $y^2=104x^6+177x^5+168x^4+157x^3+125x^2+139x+123$
- $y^2=86x^6+83x^5+109x^4+106x^3+28x^2+132x+12$
- $y^2=51x^6+11x^5+101x^4+105x^3+128x^2+36x+40$
- $y^2=12x^6+142x^5+117x^4+16x^3+29x^2+124x+154$
- $y^2=86x^6+142x^5+72x^4+40x^3+29x^2+92x+98$
- $y^2=63x^6+49x^5+115x^4+158x^3+71x^2+31x+44$
- $y^2=112x^6+86x^5+121x^4+130x^3+107x^2+160x+2$
- $y^2=120x^6+72x^5+175x^4+70x^3+56x^2+134x+49$
- $y^2=161x^6+2x^5+150x^4+172x^3+103x^2+170x+110$
- $y^2=105x^6+136x^5+33x^4+56x^3+77x^2+116x+93$
- $y^2=126x^6+100x^5+140x^4+163x^3+32x^2+93x+92$
- $y^2=47x^6+163x^5+114x^4+29x^3+33x^2+69x+99$
- $y^2=10x^6+136x^5+73x^4+119x^3+43x^2+68x+130$
- $y^2=110x^6+83x^5+122x^4+x^3+26x^2+152x+32$
- $y^2=121x^6+17x^5+14x^4+36x^3+2x^2+105x+15$
- $y^2=75x^6+152x^5+46x^4+179x^3+3x^2+162x+34$
- $y^2=154x^6+5x^5+99x^4+114x^3+41x^2+24x+138$
- $y^2=67x^6+104x^5+87x^4+136x^3+42x^2+6x+139$
- $y^2=90x^6+79x^5+49x^4+7x^3+65x+12$
- $y^2=175x^6+115x^5+153x^4+159x^3+88x^2+58x+128$
- $y^2=31x^6+21x^5+45x^4+13x^3+31x^2+139x+119$
- $y^2=88x^6+91x^5+32x^4+177x^3+162x^2+169x+15$
- $y^2=110x^6+46x^5+106x^4+2x^3+81x^2+42x+68$
- $y^2=6x^6+18x^5+15x^4+43x^3+10x^2+x+80$
- $y^2=83x^6+47x^5+89x^4+51x^3+83x^2+26x+74$
- $y^2=32x^6+28x^5+160x^4+93x^3+27x^2+89x+169$
- $y^2=114x^6+38x^5+55x^4+114x^3+118x^2+140x+125$
- $y^2=3x^6+96x^5+116x^4+134x^3+115x^2+175x+135$
- $y^2=25x^6+150x^5+87x^4+156x^3+122x^2+95x+74$
- $y^2=144x^6+177x^5+77x^4+119x^3+133x^2+147x+95$
- $y^2=167x^6+29x^5+28x^4+46x^3+170x^2+25x+169$
- $y^2=51x^6+52x^5+35x^4+74x^3+137x^2+143x+153$
- $y^2=102x^6+50x^4+42x^3+61x^2+98x+80$
- $y^2=22x^6+148x^5+143x^4+66x^3+21x^2+69x+52$
- $y^2=109x^6+3x^5+77x^4+111x^3+136x^2+28x+93$
- $y^2=16x^6+149x^5+9x^4+96x^3+6x^2+105x+114$
- $y^2=118x^6+x^5+74x^4+175x^3+6x^2+80x+115$
- $y^2=167x^6+121x^4+119x^3+55x^2+144x+143$
- $y^2=176x^6+82x^5+150x^4+32x^3+109x^2+133x+65$
- $y^2=51x^6+80x^5+162x^4+26x^3+11x^2+92x+161$
- $y^2=95x^6+162x^5+145x^4+121x^3+96x^2+179x+153$
- $y^2=27x^6+5x^5+149x^4+15x^3+114x^2+48x+55$
- $y^2=74x^6+154x^5+22x^4+168x^3+94x^2+104x+12$
- $y^2=64x^6+112x^5+153x^4+154x^3+170x^2+157x+70$
- $y^2=43x^6+109x^5+81x^4+163x^3+46x^2+154x+150$
- $y^2=50x^6+50x^5+71x^4+17x^3+140x^2+58x+149$
- $y^2=107x^6+102x^5+64x^4+161x^3+34x^2+133x+8$
- $y^2=130x^6+50x^5+96x^4+17x^3+166x^2+133x+160$
- $y^2=164x^6+164x^5+5x^4+176x^3+79x^2+139x+135$
- $y^2=54x^6+124x^5+82x^4+21x^3+131x^2+65x+129$
- $y^2=59x^6+175x^5+145x^4+146x^3+102x^2+96x+75$
- $y^2=126x^6+128x^5+56x^4+165x^3+10x^2+35x+70$
- $y^2=x^6+135x^5+80x^4+94x^3+126x^2+64x+48$
- $y^2=9x^6+156x^5+134x^4+25x^3+2x^2+55x+136$
- $y^2=144x^6+106x^5+172x^4+86x^3+35x^2+161x+180$
- $y^2=61x^6+56x^5+162x^4+108x^3+99x^2+2x+27$
- $y^2=29x^6+x^5+62x^4+127x^3+175x^2+146x+124$
- $y^2=165x^6+114x^5+53x^4+174x^3+2x^2+99x+167$
- $y^2=132x^6+169x^5+29x^4+34x^3+65x^2+56x+115$
- $y^2=55x^6+154x^5+35x^4+114x^3+52x^2+64x+35$
- $y^2=51x^6+122x^5+89x^4+84x^3+147x^2+83x+26$
- $y^2=174x^6+100x^5+87x^4+98x^3+168x^2+163x+39$
- $y^2=157x^6+43x^5+113x^4+120x^3+73x^2+97x+63$
- $y^2=24x^6+155x^5+110x^4+20x^3+118x^2+90x+170$
- $y^2=63x^6+3x^5+20x^4+98x^3+142x^2+35x+103$
- $y^2=53x^6+61x^5+152x^4+177x^3+47x^2+172x+179$
- $y^2=172x^6+173x^5+68x^4+23x^3+150x^2+94x+92$
- $y^2=117x^6+89x^5+130x^4+180x^3+129x^2+141x+30$
- $y^2=45x^6+41x^5+24x^4+162x^3+52x^2+60x+120$
- $y^2=81x^6+76x^5+89x^4+90x^3+155x^2+154x+152$
- $y^2=173x^6+126x^5+111x^4+118x^3+58x^2+77x+89$
- $y^2=88x^6+142x^5+86x^4+12x^3+59x^2+15x+65$
- $y^2=57x^6+76x^5+81x^4+60x^3+103x^2+71x$
Decomposition and endomorphism algebra
All geometric endomorphisms are defined over $\F_{181}$.
Endomorphism algebra over $\F_{181}$The endomorphism algebra of this simple isogeny class is 4.0.37805724.1. |
Base change
This is a primitive isogeny class.
Twists
Below is a list of all twists of this isogeny class.
Twist | Extension degree | Common base change |
---|---|---|
2.181.r_iu | $2$ | (not in LMFDB) |