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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ah_ba_acr_fq_aka_ph | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ad_f_ah |
6.2.ah_bb_acx_gj_alp_rv | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ad_g_aj |
6.2.ag_q_abb_bq_acx_er | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ad_f_ah |
6.2.ag_r_abg_ca_adg_ex | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ad_g_aj |
6.2.ag_r_abe_bk_abh_bj | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_a_d |
6.2.ag_s_abl_ch_adf_em | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ae_j_ap $\times$ 3.2.ac_b_a |
6.2.ag_s_abk_cd_acw_dx | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_b_b |
6.2.ag_t_abr_da_aeu_ha | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 3.2.ae_j_ap $\times$ 3.2.ac_c_ac |
6.2.ag_t_abq_cw_ael_gl | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_c_ab |
6.2.ag_u_aby_dx_ags_kd | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_d_af |
6.2.ag_u_abw_dp_aga_iz | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_d_ad |
6.2.ag_v_acd_em_ahy_mc | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 3.2.ae_j_ap $\times$ 3.2.ac_e_ag |
6.2.ag_w_aci_fb_aje_ob | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ac_f_ah |
6.2.ag_bb_adc_hn_aoc_wj | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{6}$ | $6$ | 1.2.ab 6 |
6.2.af_i_a_ah_aw_cp | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_a_d |
6.2.af_j_ah_d_ab_ab | $6$ | $\F_{2}$ | $1 - 5 x + 9 x^{2} - 7 x^{3} + 3 x^{4} - x^{5} - x^{6} - 2 x^{7} + 12 x^{8} - 56 x^{9} + 144 x^{10} - 160 x^{11} + 64 x^{12}$ | $6$ | simple |
6.2.af_j_ag_g_abh_cu | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ad_c_b $\times$ 3.2.ac_b_a |
6.2.af_j_af_d_abf_cv | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_b_b |
6.2.af_k_al_q_abq_da | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 3.2.ad_c_b $\times$ 3.2.ac_c_ac |
6.2.af_k_ak_n_abo_db | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_c_ab |
6.2.af_l_ar_bd_acb_df | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_d_af |
6.2.af_l_ap_x_abx_dh | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_d_ad |
6.2.af_m_av_bk_aci_dm | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 3.2.ad_c_b $\times$ 3.2.ac_e_ag |
6.2.af_m_as_o_d_as | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ae_j_ap $\times$ 3.2.ab_ab_c |
6.2.af_m_aq_g_v_abw | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ae_j_ap $\times$ 3.2.ab_ab_e |
6.2.af_m_ap_c_be_acl | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_ab_f |
6.2.af_n_aba_bv_add_ev | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.ad_f_ah |
6.2.af_n_az_bl_abv_cl | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x - x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_a_ab |
6.2.af_n_az_br_acp_dt | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ac_f_ah |
6.2.af_n_ay_bh_abm_bw | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x - 4 x^{5} + 8 x^{6} )$ | $4$ | 3.2.ae_j_ap $\times$ 3.2.ab_a_a |
6.2.af_n_ax_bd_abd_bh | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_a_b |
6.2.af_n_av_v_al_d | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_a_d |
6.2.af_o_abf_ce_adk_ez | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_b_ad |
6.2.af_o_abe_cd_ado_fj | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $6$ | 1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.ad_g_aj |
6.2.af_o_abd_bw_acs_dv | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_b_ab |
6.2.af_o_abc_bs_acj_dg | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ae_j_ap $\times$ 3.2.ab_b_a |
6.2.af_p_abl_cx_aez_hn | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 2 x^{2} - 5 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_c_af |
6.2.af_p_abj_cp_aeh_gj | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 2 x^{2} - 3 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_c_ad |
6.2.af_p_abi_cl_adz_fx | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $6$ | 1.2.ab 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_ab |
6.2.af_p_abi_cl_ady_fu | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $4$ | 3.2.ae_j_ap $\times$ 3.2.ab_c_ac |
6.2.af_p_abh_ch_adp_ff | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 2 x^{2} - x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_c_ab |
6.2.af_q_abn_da_afe_ht | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_d_ad |
6.2.af_r_abr_dl_agb_jd | $6$ | $\F_{2}$ | $( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - x + 4 x^{2} - 3 x^{3} + 8 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ae_j_ap $\times$ 3.2.ab_e_ad |
6.2.ae_e_e_ah_al_bi | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ad_c_b $\times$ 3.2.ab_ab_c |
6.2.ae_e_g_an_ah_bk | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 3.2.ad_c_b $\times$ 3.2.ab_ab_e |
6.2.ae_e_h_aq_af_bl | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ab_ab_f |
6.2.ae_f_ac_g_aw_bn | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x - x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ab_a_ab |
6.2.ae_f_ab_d_au_bo | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x - 4 x^{5} + 8 x^{6} )$ | $4$ | 3.2.ad_c_b $\times$ 3.2.ab_a_a |
6.2.ae_f_a_a_as_bp | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x + x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ab_a_b |
6.2.ae_f_c_ag_ao_br | $6$ | $\F_{2}$ | $( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6} )$ | $6$ | 3.2.ad_c_b $\times$ 3.2.ab_a_d |