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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ak_ca_agz_ry_abju_ceq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ad_f |
6.2.aj_bp_aet_ko_asw_bcq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_f_ah |
6.2.aj_bq_afd_mh_axm_bkq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
6.2.aj_bq_afb_lu_avy_bhw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_g_aj |
6.2.aj_br_afj_na_aza_bnc | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ac_d |
6.2.aj_bs_afr_of_abby_bsa | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ad_f |
6.2.ai_bd_acg_cf_i_adc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_f_c_al |
6.2.ai_be_acn_de_aby_q | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_a_d |
6.2.ai_bf_ada_fr_aiy_my | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_ab |
6.2.ai_bf_acw_eq_afs_hc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ac_b_a |
6.2.ai_bf_acv_ek_afa_fw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_b_b |
6.2.ai_bg_adh_gq_ale_qq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_a |
6.2.ai_bg_adg_gj_aki_pc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_i_am_r |
6.2.ai_bg_ade_fw_aiu_mi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 3 $\times$ 3.2.ac_c_ac |
6.2.ai_bg_add_fq_aic_lc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_c_ab |
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_adp_hv_aoc_vo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_j_ar_bb |
6.2.ai_bh_ado_ho_ang_ua | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ac_d_ag |
6.2.ai_bh_ado_hp_ank_ui | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_b |
6.2.ai_bh_adn_hi_amo_su | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_d_af |
6.2.ai_bh_adm_hc_alw_ro | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ab_a |
6.2.ai_bh_adl_gw_ale_qi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_d_ad |
6.2.ai_bi_adx_iy_aqq_zs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
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_bi_adw_iv_aqm_zo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $4$ | 1.2.ac 2 $\times$ 2.2.ac_d 2 |
6.2.ai_bi_adv_in_apm_xs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_k_at_bd |
6.2.ai_bi_adv_io_apq_ya | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.b $\times$ 2.2.ad_f |
6.2.ai_bi_adu_ih_aou_wm | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ad_f_ah |
6.2.ai_bi_adu_ii_aoy_wu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 3 $\times$ 3.2.ac_e_ag |
6.2.ai_bi_adt_ic_aog_vo | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ab_b |
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_bj_aec_jn_arw_bbs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_d |
6.2.ai_bj_aeb_jh_are_bam | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ad_g_aj |
6.2.ai_bj_aeb_ji_ari_bau | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_f_ah |
6.2.ai_bk_aej_km_auc_bfk | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 1.2.a $\times$ 2.2.ad_f |
6.2.ai_bk_aei_kh_ato_bem | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ac_d |
6.2.ai_bk_aeh_kc_ata_bdo | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ab_d |
6.2.ah_w_abn_bk_b_abn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_f_c_al |
6.2.ah_w_abl_z_be_adk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x^{2} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ad |
6.2.ah_w_abk_s_ca_aey | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ad_c_e_ak |
6.2.ah_w_abj_l_cw_agm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 5 x^{3} - 13 x^{4} + 10 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_c_f_an |
6.2.ah_w_abi_f_do_ahs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_c_g_ap |
6.2.ah_x_abu_cl_acq_dc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - 2 x^{3} + 3 x^{4} - 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_d_ac_d |
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_abt_ce_abu_bo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - x^{3} - 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 1.2.ac 2 $\times$ 4.2.ad_d_ab_a |
6.2.ah_x_abs_bx_ay_a | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_d_a_ad |
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_x_abr_br_ag_abg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} + x^{3} - 5 x^{4} + 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_d_b_af |
6.2.ah_x_abq_bk_q_acu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_ab_c |
6.2.ah_x_abq_bl_m_acm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} + 2 x^{3} - 7 x^{4} + 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ad_d_c_ah |