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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ai_bi_ady_je_arg_bat | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.ac_d |
6.2.ah_z_acl_ex_aih_mi | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 2.2.ad_f 2 $\times$ 2.2.ab_a |
6.2.ah_ba_acr_fq_ajx_oz | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.ab_b |
6.2.ah_bc_add_hc_and_uh | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.ab_d |
6.2.af_l_ar_x_aw_t | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ac_d $\times$ 4.2.ad_c_a_b |
6.2.af_n_ay_bl_abx_cn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.a_ab |
6.2.af_n_av_t_ab_aq | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 2.2.ad_f 2 $\times$ 2.2.b_a |
6.2.af_o_abb_bm_abr_cb | $6$ | $\F_{2}$ | $( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.b_b |
6.2.af_q_abn_cy_aex_hj | $6$ | $\F_{2}$ | $( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.b_d |
6.2.ae_f_ae_l_ar_q | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ab_a $\times$ 4.2.ad_c_a_b |
6.2.ae_g_ah_n_ar_r | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_b $\times$ 4.2.ad_c_a_b |
6.2.ae_h_aj_q_abd_bs | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ | $5$ | 2.2.ad_f $\times$ 2.2.ab_a $\times$ 2.2.a_ab |
6.2.ae_i_an_r_ar_t | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_d $\times$ 4.2.ad_c_a_b |
6.2.ae_i_am_u_abg_bv | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ab_b $\times$ 2.2.a_ab |
6.2.ae_j_at_bn_acl_dl | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ac_d $\times$ 4.2.ac_c_af_l |
6.2.ae_k_as_w_au_x | $6$ | $\F_{2}$ | $( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ad_f 2 $\times$ 2.2.c_d |
6.2.ae_k_as_bc_abm_cb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ab_d $\times$ 2.2.a_ab |
6.2.ae_q_abm_dk_afs_jh | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )^{2}$ | $6$ | 1.2.ab 2 $\times$ 2.2.ab_d 2 |
6.2.ad_d_ac_d_d_ap | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{2} + x^{3} + 3 x^{4} + 2 x^{5} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ac_d $\times$ 4.2.ab_ac_b_d |
6.2.ad_e_aj_y_abh_bk | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ab_a $\times$ 4.2.ac_c_af_l |
6.2.ad_f_al_ba_abm_bv | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_b $\times$ 4.2.ac_c_af_l |
6.2.ad_h_ap_be_abw_cr | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_d $\times$ 4.2.ac_c_af_l |
6.2.ac_ab_b_i_ab_au | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - x - 2 x^{2} + x^{3} + 3 x^{4} + 2 x^{5} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ab_a $\times$ 4.2.ab_ac_b_d |
6.2.ac_ab_e_ab_ah_q | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $5$ | 2.2.b_a $\times$ 4.2.ad_c_a_b |
6.2.ac_a_a_g_a_ar | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x - 2 x^{2} + x^{3} + 3 x^{4} + 2 x^{5} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_b $\times$ 4.2.ab_ac_b_d |
6.2.ac_a_b_b_ah_r | $6$ | $\F_{2}$ | $( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.b_b $\times$ 4.2.ad_c_a_b |
6.2.ac_b_a_h_ak_l | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )^{2}$ | $6$ | 2.2.ac_d $\times$ 2.2.a_ab 2 |
6.2.ac_b_d_ac_ah_u | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )( 1 + x + 2 x^{3} + 4 x^{4} )$ | $5$ | 2.2.ad_f $\times$ 2.2.a_ab $\times$ 2.2.b_a |
6.2.ac_c_af_f_ah_t | $6$ | $\F_{2}$ | $( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.b_d $\times$ 4.2.ad_c_a_b |
6.2.ac_c_ac_c_c_al | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x - 2 x^{2} + x^{3} + 3 x^{4} + 2 x^{5} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ab_d $\times$ 4.2.ab_ac_b_d |
6.2.ac_c_a_c_ak_x | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.a_ab $\times$ 2.2.b_b |
6.2.ac_c_c_ac_ag_v | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 3 x^{2} + 9 x^{4} - 12 x^{6} + 16 x^{8} )$ | $6$ | 1.2.ab 2 $\times$ 4.2.a_ad_a_j |
6.2.ac_e_ag_e_c_ab | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ac_d $\times$ 2.2.d_f |
6.2.ac_e_ag_k_aq_bd | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.a_ab $\times$ 2.2.b_d |
6.2.ac_g_ai_s_as_bj | $6$ | $\F_{2}$ | $( 1 - x^{2} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )^{2}$ | $6$ | 2.2.ab_d 2 $\times$ 2.2.a_ab |
6.2.ac_k_aq_bu_acg_ep | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )^{2}$ | $6$ | 1.2.ab $\times$ 1.2.b $\times$ 2.2.ab_d 2 |
6.2.ac_k_ao_bq_abu_eb | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ | $6$ | 1.2.ab 2 $\times$ 2.2.ab_d $\times$ 2.2.b_d |
6.2.ab_ac_a_n_af_aq | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )^{2}$ | $5$ | 2.2.ab_a $\times$ 2.2.a_ab 2 |
6.2.ab_ab_ab_ab_ac_t | $6$ | $\F_{2}$ | $( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $6$ | 2.2.c_d $\times$ 4.2.ad_c_a_b |
6.2.ab_ab_a_l_af_ah | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )^{2}$ | $6$ | 2.2.ab_b $\times$ 2.2.a_ab 2 |
6.2.ab_ab_c_ab_b_b | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + x - 2 x^{2} - x^{3} + 3 x^{4} - 2 x^{5} - 8 x^{6} + 8 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ac_d $\times$ 4.2.b_ac_ab_d |
6.2.ab_a_ab_g_ad_ae | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $5$ | 2.2.b_a $\times$ 4.2.ac_c_af_l |
6.2.ab_b_ad_b_b_i | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $5$ | 2.2.ad_f $\times$ 2.2.ab_a $\times$ 2.2.d_f |
6.2.ab_b_ad_i_ai_h | $6$ | $\F_{2}$ | $( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $6$ | 2.2.b_b $\times$ 4.2.ac_c_af_l |
6.2.ab_b_a_b_af_r | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.a_ab $\times$ 2.2.c_d |
6.2.ab_b_a_h_af_l | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )^{2}$ | $6$ | 2.2.ab_d $\times$ 2.2.a_ab 2 |
6.2.ab_c_ad_c_b_f | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ab_b $\times$ 2.2.d_f |
6.2.ab_d_ah_m_as_bd | $6$ | $\F_{2}$ | $( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 5 x^{3} + 11 x^{4} - 10 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $6$ | 2.2.b_d $\times$ 4.2.ac_c_af_l |
6.2.ab_e_ad_e_b_ab | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $6$ | 2.2.ad_f $\times$ 2.2.ab_d $\times$ 2.2.d_f |
6.2.a_ad_ab_g_d_am | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + x - 2 x^{2} - x^{3} + 3 x^{4} - 2 x^{5} - 8 x^{6} + 8 x^{7} + 16 x^{8} )$ | $5$ | 2.2.ab_a $\times$ 4.2.b_ac_ab_d |