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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.al_cj_aio_wq_abtw_cuy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ad_f |
6.2.ak_bz_agq_qm_abga_bye | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ac_d |
6.2.ak_cb_ahg_sy_abme_ciq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ | $2$ | 1.2.ac 4 $\times$ 1.2.ab 2 |
6.2.aj_bn_aec_hw_ama_qy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_ab |
6.2.aj_bp_aew_li_avg_bgy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
6.2.aj_bp_aes_ki_ase_bbk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_b |
6.2.aj_br_afk_ng_azs_boi | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ad_f |
6.2.aj_br_afi_mu_ayi_blw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_d |
6.2.ai_bd_ace_bs_bw_afw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.a_ad |
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_acu_ee_aei_eq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.a_ab |
6.2.ai_bh_adq_ic_aoy_xc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ac_d |
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_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_adk_gq_akm_pc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.a_b |
6.2.ai_bj_aec_jm_ars_bbk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ac_c |
6.2.ai_bj_aec_jo_asa_bca | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ac_d |
6.2.ai_bj_aea_jc_aqq_zo | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $2$ | 1.2.ac 4 $\times$ 1.2.ab $\times$ 1.2.b |
6.2.ai_bl_aeo_lc_avk_bho | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $2$ | 1.2.ac 3 $\times$ 1.2.ab 2 $\times$ 1.2.a |
6.2.ah_v_abe_a_dk_ahc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ae |
6.2.ah_x_aby_dm_afw_iy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_ab |
6.2.ah_x_abw_cu_adi_ec | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.ad_f $\times$ 4.2.ae_g_ae_c |
6.2.ah_x_abs_by_abc_i | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ac |
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_abo_y_ca_afg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_ab_e |
6.2.ah_x_abm_m_dk_ahs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.b_ab |
6.2.ah_z_aco_fo_aka_pg | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $2$ | 2.2.ad_f $\times$ 2.2.ac_c 2 |
6.2.ah_z_ack_ew_aiq_ng | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_b |
6.2.ah_z_aci_eg_ago_jk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_c_ac |
6.2.ah_z_aci_ei_agy_ke | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ab_ab |
6.2.ah_z_acg_du_afg_hc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 6 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $2$ | 1.2.ac 2 $\times$ 4.2.ad_f_ag_g |
6.2.ah_z_acg_dw_afo_hs | $6$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.c $\times$ 2.2.ad_f |
6.2.ah_z_ace_dk_aee_fg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_b_a |
6.2.ah_z_acc_cy_acu_cu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.b_b |
6.2.ah_bb_acy_go_ama_sm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 1.2.a $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
6.2.ah_bb_acw_ge_ala_qu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_e_ag |
6.2.ah_bb_acw_gg_alk_ro | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_d |
6.2.ah_bb_acu_fu_aka_pc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_c |
6.2.ah_bb_acu_fw_aki_ps | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ab_b |
6.2.ah_bb_acs_fk_aiy_ng | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.b_d |
6.2.ah_bd_adi_hs_aom_wm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 1.2.a 2 $\times$ 2.2.ad_f |
6.2.ah_bd_adg_hk_ans_vg | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ab_d |
6.2.ag_p_as_g_m_ay | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.a_ad |
6.2.ag_p_aq_ai_ce_aea | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_d $\times$ 2.2.a_ae |
6.2.ag_r_abg_bw_acm_di | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.ae_g_ae_c |
6.2.ag_r_abg_by_acy_ei | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ac_b_a |
6.2.ag_r_abg_ce_aea_gm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )^{2}$ | $2$ | 1.2.ac 2 $\times$ 2.2.ab_a 2 |
6.2.ag_r_abe_bq_aci_dk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.a_ab |
6.2.ag_r_abc_ba_ag_am | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 7 x^{2} - 6 x^{3} + 6 x^{5} - 24 x^{7} + 56 x^{8} - 64 x^{9} + 32 x^{10} )$ | $2$ | 1.2.ac $\times$ 5.2.ae_h_ag_a_g |
6.2.ag_r_abc_bc_aq_i | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.a_ab_ac |