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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.ah_y_aca_da_adm_ee | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_g_ae_c |
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.af_k_am_s_abm_cm | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.ae_g_ae_c |
6.2.af_l_aq_y_abq_co | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.ae_g_ae_c |
6.2.af_m_au_be_abu_cq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 4.2.ae_g_ae_c |
6.2.af_n_ay_bk_aby_cs | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.ab_d $\times$ 4.2.ae_g_ae_c |
6.2.af_o_abc_bq_acc_cu | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 1.2.a $\times$ 4.2.ae_g_ae_c |
6.2.ad_c_e_ag_ak_bg | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 2.2.b_a $\times$ 4.2.ae_g_ae_c |
6.2.ad_c_g_ak_ag_bc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_ae_a_k |
6.2.ad_d_a_a_ao_bi | $6$ | $\F_{2}$ | $( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.b_b $\times$ 4.2.ae_g_ae_c |
6.2.ad_e_ae_g_as_bk | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 1.2.c $\times$ 4.2.ae_g_ae_c |
6.2.ad_e_a_ag_g_ae | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_ac_a_c |
6.2.ad_f_ai_m_aw_bm | $6$ | $\F_{2}$ | $( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.b_d $\times$ 4.2.ae_g_ae_c |
6.2.ad_g_am_s_aba_bo | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.a $\times$ 1.2.b $\times$ 4.2.ae_g_ae_c |
6.2.ad_g_ag_ac_s_abk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_a_a_ag |
6.2.ad_g_ag_k_as_bk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_a_a_g |
6.2.ad_i_aq_be_aby_cy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_c_ae_c |
6.2.ad_i_am_s_as_bc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_c_a_c |
6.2.ad_i_ai_g_o_au | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_c_e_c |
6.2.ad_k_as_bm_acc_do | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.a_e_a_k |
6.2.ac_ab_e_c_ae_ac | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_ae_a_k |
6.2.ac_b_a_a_ai_w | $6$ | $\F_{2}$ | $( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $2$ | 2.2.c_d $\times$ 4.2.ae_g_ae_c |
6.2.ac_b_a_a_e_ak | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_ac_a_c |
6.2.ac_d_ae_ac_m_as | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 6 x^{4} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_a_a_ag |
6.2.ac_d_ae_k_am_s | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 6 x^{4} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_a_a_g |
6.2.ac_f_am_u_abg_cc | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_c_ae_c |
6.2.ac_f_ai_m_am_w | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_c_a_c |
6.2.ac_f_ae_e_i_ak | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_c_e_c |
6.2.ac_h_am_ba_abk_ck | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ac_d $\times$ 4.2.a_e_a_k |
6.2.ab_ae_c_o_ac_abg | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_ae_a_k |
6.2.ab_ad_c_k_ac_aw | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.a_ae_a_k |
6.2.ab_ac_a_g_c_aq | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_ac_a_c |
6.2.ab_ac_c_g_ac_am | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 4.2.a_ae_a_k |
6.2.ab_ab_a_e_c_ao | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.a_ac_a_c |
6.2.ab_ab_c_c_ac_ac | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ab_d $\times$ 4.2.a_ae_a_k |
6.2.ab_a_ae_g_ag_m | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 1.2.c $\times$ 4.2.ae_g_ae_c |
6.2.ab_a_ac_ac_g_a | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 6 x^{4} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_a_a_ag |
6.2.ab_a_ac_k_ag_a | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + 6 x^{4} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_a_a_g |
6.2.ab_a_a_c_c_am | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 4.2.a_ac_a_c |
6.2.ab_a_c_ac_ac_i | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 1.2.a $\times$ 4.2.a_ae_a_k |
6.2.ab_b_ac_ac_g_ag | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 6 x^{4} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.a_a_a_ag |
6.2.ab_b_ac_k_ag_g | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 6 x^{4} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.a_a_a_g |
6.2.ab_b_a_a_c_ak | $6$ | $\F_{2}$ | $( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ab_d $\times$ 4.2.a_ac_a_c |
6.2.ab_c_ai_k_ao_bg | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_c_ae_c |
6.2.ab_c_ae_g_ag_q | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_c_a_c |
6.2.ab_c_ac_ac_g_am | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 4.2.a_a_a_ag |
6.2.ab_c_ac_k_ag_m | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 4.2.a_a_a_g |
6.2.ab_c_a_ac_c_ai | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 1.2.a $\times$ 4.2.a_ac_a_c |
6.2.ab_c_a_c_c_a | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 2.2.ab_a $\times$ 4.2.a_c_e_c |
6.2.ab_d_ai_m_as_bi | $6$ | $\F_{2}$ | $( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $2$ | 2.2.ab_b $\times$ 4.2.a_c_ae_c |