Refine search
Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.aj_bq_afe_mm_axz_blm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ae_j_ap |
6.2.aj_br_afl_nl_abaf_bpe | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f 2 |
6.2.ai_be_acs_en_agf_ik | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ad_c_b |
6.2.ai_bh_adp_hu_anx_ve | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ad_f_ah |
6.2.ai_bh_ado_hn_anb_tq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.af_m_au_bd |
6.2.ai_bi_adx_iz_aqv_bac | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 3.2.ae_j_ap |
6.2.ai_bi_adw_is_apz_yo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.af_n_az_bn |
6.2.ai_bi_adw_it_aqd_yw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ad_g_aj |
6.2.ai_bj_aed_js_asj_bco | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
6.2.ai_bk_aej_kl_atz_bfe | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 3.2.ae_j_ap |
6.2.ai_bl_aep_lg_avv_big | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 3 $\times$ 2.2.ad_f |
6.2.ah_w_abj_k_db_agw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_e_h_av |
6.2.ah_x_abw_da_aen_go | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 3.2.ad_c_b |
6.2.ah_x_abt_cd_abp_be | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_a_d |
6.2.ah_x_abs_bw_at_ak | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 11 x^{2} - 12 x^{3} + 2 x^{4} + 9 x^{5} + 4 x^{6} - 48 x^{7} + 88 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_l_am_c_j |
6.2.ah_x_abr_bp_d_aby | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_f_c_al |
6.2.ah_y_ace_ea_agn_jq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_ab $\times$ 3.2.ae_j_ap |
6.2.ah_y_acc_dp_afj_hq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 41 x^{5} + 58 x^{6} - 80 x^{7} + 96 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_m_au_bd_abp |
6.2.ah_y_acb_di_aen_gc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 19 x^{3} + 24 x^{4} - 31 x^{5} + 48 x^{6} - 76 x^{7} + 96 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_m_at_y_abf |
6.2.ah_y_aca_dc_adv_ew | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_b_b |
6.2.ah_y_abz_cv_acz_di | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 17 x^{3} + 15 x^{4} - 13 x^{5} + 30 x^{6} - 68 x^{7} + 96 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_m_ar_p_an |
6.2.ah_z_acl_ex_aih_mi | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 2.2.ad_f 2 $\times$ 2.2.ab_a |
6.2.ah_z_acj_el_ahb_kg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_ab |
6.2.ah_z_acj_eo_ahp_li | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 42 x^{4} - 63 x^{5} + 84 x^{6} - 100 x^{7} + 104 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_n_az_bq_acl |
6.2.ah_z_aci_eh_agt_ju | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 24 x^{3} + 37 x^{4} - 53 x^{5} + 74 x^{6} - 96 x^{7} + 104 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_n_ay_bl_acb |
6.2.ah_z_ach_ea_afx_ig | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 23 x^{3} + 32 x^{4} - 43 x^{5} + 64 x^{6} - 92 x^{7} + 104 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_n_ax_bg_abr |
6.2.ah_z_ach_eb_agb_io | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_c_ab |
6.2.ah_z_acg_du_aff_ha | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 3.2.ad_c_b |
6.2.ah_ba_acq_fk_ajh_ny | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_d_af |
6.2.ah_ba_acq_fm_ajr_os | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_b $\times$ 3.2.ae_j_ap |
6.2.ah_ba_acq_fn_ajv_pa | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 3.2.ad_f_ah |
6.2.ah_ba_acp_ff_aiv_ne | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 14 x^{2} - 29 x^{3} + 49 x^{4} - 73 x^{5} + 98 x^{6} - 116 x^{7} + 112 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_o_abd_bx_acv |
6.2.ah_ba_acp_fg_aiz_nm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 14 x^{2} - 29 x^{3} + 50 x^{4} - 75 x^{5} + 100 x^{6} - 116 x^{7} + 112 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_o_abd_by_acx |
6.2.ah_ba_aco_ez_aid_ly | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_i_am_r |
6.2.ah_ba_aco_fa_aih_mg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_d_ad |
6.2.ah_bb_acx_gj_aln_rq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ac $\times$ 1.2.b $\times$ 2.2.ad_f 2 |
6.2.ah_bb_acw_ge_alb_qw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_j_ar_bb |
6.2.ah_bb_acw_gf_alf_re | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 15 x^{2} - 34 x^{3} + 63 x^{4} - 97 x^{5} + 126 x^{6} - 136 x^{7} + 120 x^{8} - 80 x^{9} + 32 x^{10} )$ | $5$ | 1.2.ac $\times$ 5.2.af_p_abi_cl_adt |
6.2.ah_bb_acw_gg_alj_rm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 3.2.ad_g_aj |
6.2.ah_bb_acv_fz_akn_py | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_b |
6.2.ah_bc_ade_hg_ann_uy | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.ad_f $\times$ 3.2.ae_j_ap |
6.2.ah_bc_adc_gy_amv_tu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_d $\times$ 3.2.ae_j_ap |
6.2.ah_bc_adc_gy_amt_tq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_f_ah |
6.2.ah_bc_adc_gz_amx_ty | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_d 2 |
6.2.ah_bc_adb_gs_amd_so | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_k_at_bd |
6.2.ah_bc_ada_gn_alp_rq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 3.2.ad_f_ah |
6.2.ah_bd_adj_hv_aot_wy | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ab $\times$ 1.2.a $\times$ 2.2.ad_f 2 |
6.2.ah_bd_adh_hn_anz_vq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_d |
6.2.ah_bd_adg_hi_anl_us | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 3.2.ad_g_aj |
6.2.ah_be_adm_id_aph_xu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab 3 $\times$ 2.2.ac_d |