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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.16.ay_jg_abxg | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{6}$ | $0$ | 1.16.ai 3 |
3.16.ax_iq_abto | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{4}( 1 - 7 x + 16 x^{2} )$ | $1$ | 1.16.ai 2 $\times$ 1.16.ah |
3.16.aw_ib_abqe | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 7 x + 16 x^{2} )^{2}$ | $2$ | 1.16.ai $\times$ 1.16.ah 2 |
3.16.av_hk_abme | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{4}( 1 - 5 x + 16 x^{2} )$ | $1$ | 1.16.ai 2 $\times$ 1.16.af |
3.16.av_hl_abmm | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 13 x + 73 x^{2} - 208 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.an_cv |
3.16.av_hn_abnb | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )^{3}$ | $3$ | 1.16.ah 3 |
3.16.au_gu_abim | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{4}( 1 - 4 x + 16 x^{2} )$ | $0$ | 1.16.ai 2 $\times$ 1.16.ae |
3.16.au_gv_abiu | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 12 x + 65 x^{2} - 192 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.am_cn |
3.16.au_gx_abjk | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 7 x + 16 x^{2} )( 1 - 5 x + 16 x^{2} )$ | $2$ | 1.16.ai $\times$ 1.16.ah $\times$ 1.16.af |
3.16.au_gy_abjr | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 13 x + 73 x^{2} - 208 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.an_cv |
3.16.at_ge_abeu | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{4}( 1 - 3 x + 16 x^{2} )$ | $1$ | 1.16.ai 2 $\times$ 1.16.ad |
3.16.at_gf_abfc | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 11 x + 57 x^{2} - 176 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.al_cf |
3.16.at_gh_abfs | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 11 x + 59 x^{2} - 176 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.al_ch |
3.16.at_gi_abga | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 7 x + 16 x^{2} )( 1 - 4 x + 16 x^{2} )$ | $1$ | 1.16.ai $\times$ 1.16.ah $\times$ 1.16.ae |
3.16.at_gj_abgi | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 11 x + 61 x^{2} - 176 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.al_cj |
3.16.at_gj_abgh | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 12 x + 65 x^{2} - 192 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.am_cn |
3.16.at_gk_abgp | $3$ | $\F_{2^{4}}$ | $1 - 19 x + 166 x^{2} - 847 x^{3} + 2656 x^{4} - 4864 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.at_gl_abgv | $3$ | $\F_{2^{4}}$ | $( 1 - 5 x + 16 x^{2} )( 1 - 7 x + 16 x^{2} )^{2}$ | $3$ | 1.16.ah 2 $\times$ 1.16.af |
3.16.as_fp_abbk | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 10 x + 49 x^{2} - 160 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.ak_bx |
3.16.as_fr_abca | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 10 x + 51 x^{2} - 160 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.ak_bz |
3.16.as_ft_abcq | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 7 x + 16 x^{2} )( 1 - 3 x + 16 x^{2} )$ | $2$ | 1.16.ai $\times$ 1.16.ah $\times$ 1.16.ad |
3.16.as_ft_abcp | $3$ | $\F_{2^{4}}$ | $1 - 18 x + 149 x^{2} - 743 x^{3} + 2384 x^{4} - 4608 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.as_fu_abcx | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 11 x + 57 x^{2} - 176 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.al_cf |
3.16.as_fv_abdg | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 10 x + 55 x^{2} - 160 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.ak_cd |
3.16.as_fv_abdf | $3$ | $\F_{2^{4}}$ | $1 - 18 x + 151 x^{2} - 759 x^{3} + 2416 x^{4} - 4608 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.as_fw_abdn | $3$ | $\F_{2^{4}}$ | $1 - 18 x + 152 x^{2} - 767 x^{3} + 2432 x^{4} - 4608 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.as_fw_abdl | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 11 x + 59 x^{2} - 176 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.al_ch |
3.16.as_fx_abdw | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 5 x + 16 x^{2} )^{2}$ | $2$ | 1.16.ai $\times$ 1.16.af 2 |
3.16.as_fx_abdv | $3$ | $\F_{2^{4}}$ | $1 - 18 x + 153 x^{2} - 775 x^{3} + 2448 x^{4} - 4608 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.as_fx_abdt | $3$ | $\F_{2^{4}}$ | $1 - 18 x + 153 x^{2} - 773 x^{3} + 2448 x^{4} - 4608 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.as_fx_abds | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x + 16 x^{2} )( 1 - 7 x + 16 x^{2} )^{2}$ | $2$ | 1.16.ah 2 $\times$ 1.16.ae |
3.16.as_fy_abeb | $3$ | $\F_{2^{4}}$ | $( 1 - 5 x + 16 x^{2} )( 1 - 13 x + 73 x^{2} - 208 x^{3} + 256 x^{4} )$ | $3$ | 1.16.af $\times$ 2.16.an_cv |
3.16.as_fy_abdz | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 11 x + 61 x^{2} - 176 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.al_cj |
3.16.ar_ey_axk | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{4}( 1 - x + 16 x^{2} )$ | $1$ | 1.16.ai 2 $\times$ 1.16.ab |
3.16.ar_ez_axs | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 41 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_bp |
3.16.ar_fb_ayi | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 43 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_br |
3.16.ar_fc_ayq | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 44 x^{2} - 144 x^{3} + 256 x^{4} )$ | $1$ | 1.16.ai $\times$ 2.16.aj_bs |
3.16.ar_fd_ayy | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 45 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_bt |
3.16.ar_fe_azf | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 134 x^{2} - 655 x^{3} + 2144 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.ar_ff_azo | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 47 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_bv |
3.16.ar_ff_azn | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 10 x + 49 x^{2} - 160 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.ak_bx |
3.16.ar_fg_azw | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 48 x^{2} - 144 x^{3} + 256 x^{4} )$ | $1$ | 1.16.ai $\times$ 2.16.aj_bw |
3.16.ar_fg_azv | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 136 x^{2} - 671 x^{3} + 2176 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.ar_fh_abae | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 49 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_bx |
3.16.ar_fh_abad | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 137 x^{2} - 679 x^{3} + 2192 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.ar_fh_abab | $3$ | $\F_{2^{4}}$ | $( 1 - 7 x + 16 x^{2} )( 1 - 10 x + 51 x^{2} - 160 x^{3} + 256 x^{4} )$ | $3$ | 1.16.ah $\times$ 2.16.ak_bz |
3.16.ar_fi_abal | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 138 x^{2} - 687 x^{3} + 2208 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.ar_fi_abaj | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 138 x^{2} - 685 x^{3} + 2208 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |
3.16.ar_fj_abau | $3$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}( 1 - 9 x + 51 x^{2} - 144 x^{3} + 256 x^{4} )$ | $2$ | 1.16.ai $\times$ 2.16.aj_bz |
3.16.ar_fj_abat | $3$ | $\F_{2^{4}}$ | $1 - 17 x + 139 x^{2} - 695 x^{3} + 2224 x^{4} - 4352 x^{5} + 4096 x^{6}$ | $3$ | simple |