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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ak_by_agi_pg_abcy_bsy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.ac_c |
6.2.ak_bz_agr_qs_abgs_bzk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ae_j_ap |
6.2.aj_bm_adt_gk_aig_km | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_c_b |
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_bt_afx_pa_abdu_bvc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 2 x^{2} )^{3}$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab 3 |
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_be_acm_cy_abg_aq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.a_ac |
6.2.ai_bg_adk_hk_ano_uy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $0$ | 1.2.ac 2 $\times$ 2.2.ac_c 2 |
6.2.ai_bg_adf_gc_ajm_no | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ab_ab |
6.2.ai_bh_adr_ig_apg_xo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ae_j_ap |
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_iu_aqi_zg | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ac_c |
6.2.ai_bi_ads_hw_ano_ui | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.a_c |
6.2.ai_bj_aed_js_ask_bcq | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 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.ai_bm_aeu_lx_axg_bkq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{4}$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 4 |
6.2.ah_w_abr_cq_aee_gi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ad_c_b |
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_abp_be_bi_aea | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x^{2} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.a_ad |
6.2.ah_y_acb_dk_aew_gu | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 3.2.ad_c_b |
6.2.ah_z_ack_et_aic_me | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 2.2.ab_a $\times$ 3.2.ae_j_ap |
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_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_acn_et_ahm_ku | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ab_ab |
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_bd_adh_hm_anw_vk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 1.2.ab 3 $\times$ 2.2.ac_c |
6.2.ah_bd_adf_he_ana_ua | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab 2 $\times$ 1.2.b |
6.2.ah_bf_adr_iu_aqs_bae | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{3}$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab 3 $\times$ 1.2.a |
6.2.ah_bg_adw_jl_asd_bco | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{5}$ | $5$ | 1.2.ac $\times$ 1.2.ab 5 |
6.2.ag_o_am_am_bw_adc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.a_ae |
6.2.ag_p_aw_bh_acu_ey | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )^{2}$ | $4$ | 1.2.ac 2 $\times$ 2.2.ab_ab 2 |
6.2.ag_p_av_bd_acm_em | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 2.2.ab_a $\times$ 3.2.ad_c_b |
6.2.ag_p_ar_ag_cg_aei | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.a_ae $\times$ 3.2.ae_j_ap |
6.2.ag_q_aba_bn_acv_es | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_b $\times$ 3.2.ad_c_b |
6.2.ag_q_ay_y_ay_bg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.a_ac |
6.2.ag_r_abd_bg_ay_u | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.a_ac $\times$ 3.2.ae_j_ap |
6.2.ag_r_abb_s_v_ack | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x^{2} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.a_ad |
6.2.ag_s_abs_ds_agm_jo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{3}$ | $0$ | 2.2.ac_c 3 |
6.2.ag_s_abn_cu_aeq_gy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c $\times$ 2.2.ab_ab |
6.2.ag_s_abm_cn_adr_fc | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.ad_f $\times$ 3.2.ad_c_b |
6.2.ag_s_abl_co_aek_gu | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.b $\times$ 2.2.ab_ab |
6.2.ag_s_abk_ch_adn_fe | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_d $\times$ 3.2.ad_c_b |
6.2.ag_s_abk_ci_ads_fo | $6$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 1.2.c $\times$ 2.2.ac_c |
6.2.ag_s_abj_bz_acn_di | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.a_ab $\times$ 3.2.ae_j_ap |
6.2.ag_s_abg_bk_ay_q | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.a_ac |
6.2.ag_s_abe_v_y_acu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 3 x^{2} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.a_ad |
6.2.ag_s_abc_m_bw_aei | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.c_c |
6.2.ag_s_abb_g_co_afo | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.b_ab |
6.2.ag_t_abr_dc_afb_hm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_d $\times$ 2.2.ab_ab |