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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ah_ba_acs_fv_akk_pv | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_j_ar_bb |
6.2.ah_bb_acx_gi_alk_rl | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_k_at_bd |
6.2.ah_bb_acw_gd_akx_qp | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ad_f_ah |
6.2.ah_bc_adc_gx_amq_tl | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ad_g_aj |
6.2.ah_bd_adi_hr_aoj_wh | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $6$ | 1.2.ab 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
6.2.ag_q_ax_k_bi_ade | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 2.2.ad_f $\times$ 4.2.ad_c_e_ak |
6.2.ag_q_aw_e_by_aef | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + 5 x^{3} - 13 x^{4} + 10 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_c_f_an |
6.2.ag_q_av_ab_cl_afb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_c_g_ap |
6.2.ag_r_abg_bu_acb_cl | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} - 2 x^{3} + 3 x^{4} - 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_d_ac_d |
6.2.ag_r_abf_bo_abl_bk | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} - x^{3} - 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ad_f $\times$ 4.2.ad_d_ab_a |
6.2.ag_r_abe_bi_av_j | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_d_a_ad |
6.2.ag_r_abd_bd_ai_an | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} + x^{3} - 5 x^{4} + 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_d_b_af |
6.2.ag_r_abc_y_f_abj | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} + 2 x^{3} - 7 x^{4} + 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_d_c_ah |
6.2.ag_r_abb_r_y_acp | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} + 3 x^{3} - 11 x^{4} + 6 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_d_d_al |
6.2.ag_s_abo_cy_aeu_gz | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.ab_ab |
6.2.ag_s_abn_cs_aee_fy | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 2.2.ad_f $\times$ 4.2.ad_e_ag_k |
6.2.ag_s_abl_ch_adb_eb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 4 x^{2} - 4 x^{3} + 5 x^{4} - 8 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_e_ae_f |
6.2.ag_s_abj_bv_abv_bz | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 4 x^{2} - 2 x^{3} - x^{4} - 4 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_e_ac_ab |
6.2.ag_s_abi_bq_abi_bd | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_a_d |
6.2.ag_t_abt_dl_afu_ip | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 15 x^{4} - 18 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_aj_p |
6.2.ag_t_abt_dm_afx_iu | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $5$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.ab_a |
6.2.ag_t_abs_dg_afh_ht | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 8 x^{3} + 13 x^{4} - 16 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_ai_n |
6.2.ag_t_abr_cz_aeo_gn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 9 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_ah_j |
6.2.ag_t_abr_db_aeu_gx | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 11 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_ah_l |
6.2.ag_t_abq_ct_ady_fm | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 6 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 2.2.ad_f $\times$ 4.2.ad_f_ag_g |
6.2.ag_t_abq_cu_aeb_fr | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 7 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_ag_h |
6.2.ag_t_abp_co_adl_eq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_b_a |
6.2.ag_t_abp_cp_ado_ev | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 5 x^{3} + 5 x^{4} - 10 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_f_af_f |
6.2.ag_t_abo_ck_adb_dz | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_b_b |
6.2.ag_u_abz_ed_ahh_lb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_g_am_t |
6.2.ag_u_aby_dy_agu_kf | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_g_al_r |
6.2.ag_u_aby_ea_aha_kp | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.ab_b |
6.2.ag_u_abx_ds_age_je | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 10 x^{3} + 14 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 2.2.ad_f $\times$ 4.2.ad_g_ak_o |
6.2.ag_u_abx_dt_agh_jj | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_g_ak_p |
6.2.ag_u_abw_dn_afr_ii | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 18 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ad_f $\times$ 4.2.ad_g_aj_m |
6.2.ag_u_abv_di_afe_hm | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_c_ac |
6.2.ag_u_abv_dj_afh_hr | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 8 x^{3} + 11 x^{4} - 16 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_g_ai_l |
6.2.ag_u_abu_de_aeu_gv | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_c_ab |
6.2.ag_v_acd_ek_ahr_lq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_d_ag |
6.2.ag_v_acd_el_ahu_lv | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 7 x^{2} - 13 x^{3} + 19 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_h_an_t |
6.2.ag_v_acd_en_aia_mf | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 7 x^{2} - 13 x^{3} + 21 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_h_an_v |
6.2.ag_v_acc_eg_ahh_kz | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_d_af |
6.2.ag_v_acc_ei_ahn_lj | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 7 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_h_am_t |
6.2.ag_v_acb_ec_agx_ki | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ab 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_a |
6.2.ag_v_acb_ed_aha_kn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 7 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_h_al_r |
6.2.ag_v_aca_dy_agn_jr | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_d_ad |
6.2.ag_w_aci_fc_ajg_of | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.ab_d |
6.2.ag_w_ach_ew_aiq_ne | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ac_e_ag |
6.2.ag_w_ach_ex_ait_nj | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 8 x^{2} - 14 x^{3} + 23 x^{4} - 28 x^{5} + 32 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ad_i_ao_x |
6.2.ag_w_acg_es_aig_mn | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $6$ | 1.2.ab 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_b |