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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
2.127.abs_bck $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-6}) \) $C_2$
2.127.abr_bbo $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 21 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-67}) \) $C_2$, $C_2$
2.127.abq_bar $2$ $\F_{127}$ $1 - 42 x + 693 x^{2} - 5334 x^{3} + 16129 x^{4}$ $2$ 4.0.44608.1 $D_{4}$
2.127.abq_bas $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 20 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$
2.127.abq_bat $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-67}) \) $C_2$
2.127.abp_zv $2$ $\F_{127}$ $1 - 41 x + 671 x^{2} - 5207 x^{3} + 16129 x^{4}$ $2$ 4.0.283413.1 $D_{4}$
2.127.abp_zw $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 19 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$
2.127.abp_zx $2$ $\F_{127}$ $1 - 41 x + 673 x^{2} - 5207 x^{3} + 16129 x^{4}$ $2$ 4.0.134525.1 $D_{4}$
2.127.abp_zy $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )( 1 - 20 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$
2.127.abo_yy $2$ $\F_{127}$ $1 - 40 x + 648 x^{2} - 5080 x^{3} + 16129 x^{4}$ $2$ 4.0.463104.1 $D_{4}$
2.127.abo_yz $2$ $\F_{127}$ $1 - 40 x + 649 x^{2} - 5080 x^{3} + 16129 x^{4}$ $2$ 4.0.65225.1 $D_{4}$
2.127.abo_za $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 18 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-46}) \) $C_2$, $C_2$
2.127.abo_zb $2$ $\F_{127}$ $1 - 40 x + 651 x^{2} - 5080 x^{3} + 16129 x^{4}$ $2$ 4.0.896400.3 $D_{4}$
2.127.abo_zc $2$ $\F_{127}$ $1 - 40 x + 652 x^{2} - 5080 x^{3} + 16129 x^{4}$ $2$ 4.0.10496.2 $D_{4}$
2.127.abo_zd $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )( 1 - 19 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$
2.127.abo_ze $2$ $\F_{127}$ $( 1 - 20 x + 127 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$
2.127.abn_yc $2$ $\F_{127}$ $1 - 39 x + 626 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.471537.1 $D_{4}$
2.127.abn_yd $2$ $\F_{127}$ $1 - 39 x + 627 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.2937613.1 $D_{4}$
2.127.abn_ye $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 17 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-219}) \) $C_2$, $C_2$
2.127.abn_yf $2$ $\F_{127}$ $1 - 39 x + 629 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.3096261.2 $D_{4}$
2.127.abn_yg $2$ $\F_{127}$ $1 - 39 x + 630 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.3757.1 $D_{4}$
2.127.abn_yh $2$ $\F_{127}$ $1 - 39 x + 631 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.198237.2 $D_{4}$
2.127.abn_yi $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )( 1 - 18 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-46}) \) $C_2$, $C_2$
2.127.abn_yj $2$ $\F_{127}$ $1 - 39 x + 633 x^{2} - 4953 x^{3} + 16129 x^{4}$ $2$ 4.0.352525.1 $D_{4}$
2.127.abn_yk $2$ $\F_{127}$ $( 1 - 20 x + 127 x^{2} )( 1 - 19 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$
2.127.abm_xf $2$ $\F_{127}$ $1 - 38 x + 603 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.129168.1 $D_{4}$
2.127.abm_xg $2$ $\F_{127}$ $1 - 38 x + 604 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.5056832.1 $D_{4}$
2.127.abm_xh $2$ $\F_{127}$ $1 - 38 x + 605 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.769600.8 $D_{4}$
2.127.abm_xi $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 16 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$
2.127.abm_xj $2$ $\F_{127}$ $1 - 38 x + 607 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.497216.3 $D_{4}$
2.127.abm_xk $2$ $\F_{127}$ $1 - 38 x + 608 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.7441728.1 $D_{4}$
2.127.abm_xl $2$ $\F_{127}$ $1 - 38 x + 609 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.6460992.1 $D_{4}$
2.127.abm_xm $2$ $\F_{127}$ $1 - 38 x + 610 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.323600.3 $D_{4}$
2.127.abm_xn $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )( 1 - 17 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-219}) \) $C_2$, $C_2$
2.127.abm_xo $2$ $\F_{127}$ $1 - 38 x + 612 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.2362176.1 $D_{4}$
2.127.abm_xp $2$ $\F_{127}$ $1 - 38 x + 613 x^{2} - 4826 x^{3} + 16129 x^{4}$ $2$ 4.0.1160768.1 $D_{4}$
2.127.abm_xq $2$ $\F_{127}$ $( 1 - 20 x + 127 x^{2} )( 1 - 18 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-46}) \) $C_2$, $C_2$
2.127.abm_xr $2$ $\F_{127}$ $( 1 - 19 x + 127 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$
2.127.abl_wi $2$ $\F_{127}$ $1 - 37 x + 580 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.439400.2 $D_{4}$
2.127.abl_wj $2$ $\F_{127}$ $1 - 37 x + 581 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.733037.1 $D_{4}$
2.127.abl_wk $2$ $\F_{127}$ $1 - 37 x + 582 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.2797389.2 $D_{4}$
2.127.abl_wl $2$ $\F_{127}$ $1 - 37 x + 583 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.14373653.2 $D_{4}$
2.127.abl_wm $2$ $\F_{127}$ $( 1 - 22 x + 127 x^{2} )( 1 - 15 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-283}) \) $C_2$, $C_2$
2.127.abl_wn $2$ $\F_{127}$ $1 - 37 x + 585 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.211725.1 $D_{4}$
2.127.abl_wo $2$ $\F_{127}$ $1 - 37 x + 586 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.4264697.1 $D_{4}$
2.127.abl_wp $2$ $\F_{127}$ $1 - 37 x + 587 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.16193901.1 $D_{4}$
2.127.abl_wq $2$ $\F_{127}$ $1 - 37 x + 588 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.14714568.2 $D_{4}$
2.127.abl_wr $2$ $\F_{127}$ $1 - 37 x + 589 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.12780677.2 $D_{4}$
2.127.abl_ws $2$ $\F_{127}$ $( 1 - 21 x + 127 x^{2} )( 1 - 16 x + 127 x^{2} )$ $2$ \(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$
2.127.abl_wt $2$ $\F_{127}$ $1 - 37 x + 591 x^{2} - 4699 x^{3} + 16129 x^{4}$ $2$ 4.0.8190693.2 $D_{4}$
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