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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.17.ay_jj_abzc | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )^{3}$ | $3$ | 1.17.ai 3 |
3.17.ax_it_abvi | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.ah |
3.17.aw_id_abro | $3$ | $\F_{17}$ | $( 1 - 6 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.ag |
3.17.aw_ie_abrw | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai $\times$ 1.17.ah 2 |
3.17.av_hn_abnu | $3$ | $\F_{17}$ | $( 1 - 5 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.af |
3.17.av_ho_aboc | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 13 x + 75 x^{2} - 221 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.an_cx |
3.17.av_hp_abok | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$ | $3$ | 1.17.ai $\times$ 1.17.ah $\times$ 1.17.ag |
3.17.av_hq_abor | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )^{3}$ | $3$ | 1.17.ah 3 |
3.17.au_gw_abjs | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.am_cn |
3.17.au_gx_abka | $3$ | $\F_{17}$ | $( 1 - 4 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.ae |
3.17.au_gy_abki | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 12 x + 67 x^{2} - 204 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.am_cp |
3.17.au_gz_abkq | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 12 x + 68 x^{2} - 204 x^{3} + 289 x^{4} )$ | $2$ | 1.17.ai $\times$ 2.17.am_cq |
3.17.au_ha_abky | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ | $3$ | 1.17.ai $\times$ 1.17.ah $\times$ 1.17.af |
3.17.au_hb_ablg | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai $\times$ 1.17.ag 2 |
3.17.au_hb_ablf | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 13 x + 75 x^{2} - 221 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ah $\times$ 2.17.an_cx |
3.17.au_hc_ablm | $3$ | $\F_{17}$ | $( 1 - 6 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ah 2 $\times$ 1.17.ag |
3.17.at_gg_abfy | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 11 x + 57 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.al_cf |
3.17.at_gh_abgg | $3$ | $\F_{17}$ | $( 1 - 3 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.ad |
3.17.at_gi_abgo | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 11 x + 59 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.al_ch |
3.17.at_gj_abgw | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 11 x + 60 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.al_ci |
3.17.at_gk_abhf | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ah $\times$ 2.17.am_cn |
3.17.at_gk_abhe | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 11 x + 61 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.al_cj |
3.17.at_gl_abhn | $3$ | $\F_{17}$ | $1 - 19 x + 167 x^{2} - 871 x^{3} + 2839 x^{4} - 5491 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.at_gl_abhm | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ | $3$ | 1.17.ai $\times$ 1.17.ah $\times$ 1.17.ae |
3.17.at_gm_abhv | $3$ | $\F_{17}$ | $1 - 19 x + 168 x^{2} - 879 x^{3} + 2856 x^{4} - 5491 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.at_gm_abhu | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 11 x + 63 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.al_cl |
3.17.at_gm_abht | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 12 x + 67 x^{2} - 204 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ah $\times$ 2.17.am_cp |
3.17.at_gn_abic | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ | $3$ | 1.17.ai $\times$ 1.17.ag $\times$ 1.17.af |
3.17.at_gn_abib | $3$ | $\F_{17}$ | $1 - 19 x + 169 x^{2} - 885 x^{3} + 2873 x^{4} - 5491 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.at_gn_abia | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 12 x + 68 x^{2} - 204 x^{3} + 289 x^{4} )$ | $2$ | 1.17.ah $\times$ 2.17.am_cq |
3.17.at_go_abii | $3$ | $\F_{17}$ | $( 1 - 6 x + 17 x^{2} )( 1 - 13 x + 75 x^{2} - 221 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ag $\times$ 2.17.an_cx |
3.17.at_go_abih | $3$ | $\F_{17}$ | $( 1 - 5 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ah 2 $\times$ 1.17.af |
3.17.at_gp_abio | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ah $\times$ 1.17.ag 2 |
3.17.as_fq_abce | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 49 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_bx |
3.17.as_fr_abcm | $3$ | $\F_{17}$ | $( 1 - 2 x + 17 x^{2} )( 1 - 8 x + 17 x^{2} )^{2}$ | $3$ | 1.17.ai 2 $\times$ 1.17.ac |
3.17.as_fs_abcu | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 51 x^{2} - 170 x^{3} + 289 x^{4} )$ | $2$ | 1.17.ai $\times$ 2.17.ak_bz |
3.17.as_ft_abdc | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 52 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_ca |
3.17.as_fu_abdl | $3$ | $\F_{17}$ | $1 - 18 x + 150 x^{2} - 765 x^{3} + 2550 x^{4} - 5202 x^{5} + 4913 x^{6}$ | $2$ | simple |
3.17.as_fu_abdk | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 53 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_cb |
3.17.as_fv_abdt | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 11 x + 57 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ah $\times$ 2.17.al_cf |
3.17.as_fv_abds | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 54 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_cc |
3.17.as_fw_abeb | $3$ | $\F_{17}$ | $1 - 18 x + 152 x^{2} - 781 x^{3} + 2584 x^{4} - 5202 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.as_fw_abea | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ | $3$ | 1.17.ai $\times$ 1.17.ah $\times$ 1.17.ad |
3.17.as_fw_abdz | $3$ | $\F_{17}$ | $1 - 18 x + 152 x^{2} - 779 x^{3} + 2584 x^{4} - 5202 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.as_fx_abej | $3$ | $\F_{17}$ | $1 - 18 x + 153 x^{2} - 789 x^{3} + 2601 x^{4} - 5202 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.as_fx_abei | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 56 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_ce |
3.17.as_fx_abeh | $3$ | $\F_{17}$ | $( 1 - 7 x + 17 x^{2} )( 1 - 11 x + 59 x^{2} - 187 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ah $\times$ 2.17.al_ch |
3.17.as_fy_abes | $3$ | $\F_{17}$ | $( 1 - 6 x + 17 x^{2} )( 1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ag $\times$ 2.17.am_cn |
3.17.as_fy_aber | $3$ | $\F_{17}$ | $1 - 18 x + 154 x^{2} - 797 x^{3} + 2618 x^{4} - 5202 x^{5} + 4913 x^{6}$ | $3$ | simple |
3.17.as_fy_abeq | $3$ | $\F_{17}$ | $( 1 - 8 x + 17 x^{2} )( 1 - 10 x + 57 x^{2} - 170 x^{3} + 289 x^{4} )$ | $3$ | 1.17.ai $\times$ 2.17.ak_cf |