Refine search
Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.aj_br_afk_nf_azo_boa | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ae_j_ap |
6.2.ai_bf_acx_ex_ago_iq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ad_c_b |
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_bb_acy_gn_aly_sk | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.ac_c $\times$ 3.2.ae_j_ap |
6.2.ah_bb_acw_gf_alg_rg | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.b $\times$ 3.2.ae_j_ap |
6.2.ah_bd_adi_hr_aok_wi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.a $\times$ 3.2.ae_j_ap |
6.2.ag_o_aq_t_acd_eg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ab_ab $\times$ 3.2.ad_c_b |
6.2.ag_r_abh_cd_adi_ew | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.ac_c $\times$ 3.2.ad_c_b |
6.2.ag_r_abf_bx_ade_ey | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.b $\times$ 3.2.ad_c_b |
6.2.ag_t_abp_cr_adw_fk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.a $\times$ 3.2.ad_c_b |
6.2.af_l_am_af_bs_adg | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_ae $\times$ 3.2.ae_j_ap |
6.2.af_l_aj_aj_bm_acm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ab_ab_d_ab |
6.2.af_m_ao_ac_bn_ada | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.b_ab $\times$ 3.2.ae_j_ap |
6.2.af_n_aw_z_au_s | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_ac $\times$ 3.2.ae_j_ap |
6.2.af_o_abg_ci_adt_fo | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.ab_ab $\times$ 3.2.ae_j_ap |
6.2.af_p_abm_db_afi_ic | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.ac_c $\times$ 3.2.ae_j_ap |
6.2.af_p_abg_cd_adg_eq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.c $\times$ 3.2.ae_j_ap |
6.2.af_r_abs_dp_agk_js | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.a $\times$ 1.2.b $\times$ 3.2.ae_j_ap |
6.2.af_r_abq_dh_afs_io | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_c $\times$ 3.2.ae_j_ap |
6.2.af_t_aca_el_aie_mm | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 1.2.a 2 $\times$ 3.2.ae_j_ap |
6.2.ae_d_j_ar_ac_bc | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_ae $\times$ 3.2.ad_c_b |
6.2.ae_e_i_at_ad_bm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.b_ab $\times$ 3.2.ad_c_b |
6.2.ae_f_b_ad_aq_bq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_ac $\times$ 3.2.ad_c_b |
6.2.ae_g_ai_t_abh_bs | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.ab_ab $\times$ 3.2.ad_c_b |
6.2.ae_h_an_bd_abq_by | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.ac_c $\times$ 3.2.ad_c_b |
6.2.ae_h_ah_l_abe_ce | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.c $\times$ 3.2.ad_c_b |
6.2.ae_i_am_m_ai_i | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 2.2.ac_c $\times$ 4.2.ac_c_a_ae |
6.2.ae_i_ag_ag_bd_aby | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ab_ab_d_ab |
6.2.ae_j_ar_bf_abw_cq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.a $\times$ 1.2.b $\times$ 3.2.ad_c_b |
6.2.ae_j_ap_z_abs_cs | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.a_c $\times$ 3.2.ad_c_b |
6.2.ae_l_ax_bn_acg_dg | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 1.2.a 2 $\times$ 3.2.ad_c_b |
6.2.ad_d_ac_ad_q_abc | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.a_ae $\times$ 3.2.ae_j_ap |
6.2.ad_d_ab_ab_o_abi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ | $4$ | 2.2.ac_c $\times$ 4.2.ab_ab_d_ab |
6.2.ad_d_b_ab_ao_bg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.b_ab_ad_ab |
6.2.ad_e_ai_q_az_bm | $6$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.c $\times$ 2.2.ab_ab $\times$ 3.2.ae_j_ap |
6.2.ad_f_ai_l_am_o | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.a_ac $\times$ 3.2.ae_j_ap |
6.2.ad_f_ad_ad_u_abk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 1.2.a $\times$ 4.2.ab_ab_d_ab |
6.2.ad_g_ag_ac_t_abo | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.b_ab $\times$ 3.2.ae_j_ap |
6.2.ad_h_ao_z_abo_ce | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.b $\times$ 1.2.c $\times$ 3.2.ae_j_ap |
6.2.ad_h_ai_b_o_abi | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 2.2.c_c $\times$ 3.2.ae_j_ap |
6.2.ad_j_au_bn_acq_du | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.a_c $\times$ 3.2.ae_j_ap |
6.2.ad_j_as_bf_aby_cq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab $\times$ 1.2.a $\times$ 1.2.c $\times$ 3.2.ae_j_ap |
6.2.ad_l_aba_cb_ads_fk | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.a 2 $\times$ 1.2.b $\times$ 3.2.ae_j_ap |
6.2.ac_ad_f_j_ac_abc | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.a_ae $\times$ 3.2.ad_c_b |
6.2.ac_ac_a_t_al_aw | $6$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.c $\times$ 2.2.ab_ab $\times$ 3.2.ad_c_b |
6.2.ac_ab_b_l_ai_ak | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.b $\times$ 2.2.a_ac $\times$ 3.2.ad_c_b |
6.2.ac_a_a_e_a_ai | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ | $0$ | 2.2.ac_c $\times$ 4.2.a_ac_a_e |
6.2.ac_a_e_ae_ai_y | $6$ | $\F_{2}$ | $( 1 - 2 x^{2} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 2.2.a_ac $\times$ 4.2.ac_c_a_ae |
6.2.ac_a_e_ad_ab_e | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.a $\times$ 2.2.b_ab $\times$ 3.2.ad_c_b |
6.2.ac_b_ad_n_ao_i | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.b $\times$ 1.2.c $\times$ 3.2.ad_c_b |