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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.al_ck_aiw_xw_abwy_dae | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{5}$ | $1$ | 1.2.ac 5 $\times$ 1.2.ab |
6.2.aj_bo_aek_jc_apc_we | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 4 $\times$ 2.2.ab_a |
6.2.aj_bq_afc_ma_awq_bjc | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ac_c |
6.2.aj_bq_afa_lo_avg_bgq | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{5}$ | $1$ | 1.2.ac 5 $\times$ 1.2.b |
6.2.aj_bs_afq_oa_abbk_brc | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $1$ | 1.2.ac 4 $\times$ 1.2.ab $\times$ 1.2.a |
6.2.ah_w_abk_s_ca_aey | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ad_c_e_ak |
6.2.ah_w_abi_e_ds_aia | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.a_ae |
6.2.ah_y_ace_ee_ahg_lc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_a |
6.2.ah_y_acc_dq_afo_ia | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ad_e_ag_k |
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.ah_y_aby_cq_acm_cm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 4 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac 3 $\times$ 3.2.ab_a_a |
6.2.ah_y_abw_ce_abc_a | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.a_ac |
6.2.ah_y_abu_bs_i_acm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x + 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 4 $\times$ 2.2.b_a |
6.2.ah_ba_acs_fw_akq_qi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c 2 |
6.2.ah_ba_acq_fo_aka_pk | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.b $\times$ 2.2.ac_c |
6.2.ah_ba_aco_fa_aii_mi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 10 x^{3} + 14 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ad_g_ak_o |
6.2.ah_ba_aco_fc_aiq_my | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ab_a |
6.2.ah_ba_acm_eo_agy_jw | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ac_c_ac |
6.2.ah_ba_acm_eq_ahg_km | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac 3 $\times$ 3.2.ab_c_ac |
6.2.ah_ba_ack_ee_afw_ia | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $1$ | 1.2.ac 4 $\times$ 1.2.ab $\times$ 1.2.c |
6.2.ah_bc_adc_gy_amu_ts | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 1.2.a $\times$ 2.2.ac_c |
6.2.ah_bc_ada_go_als_rw | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ac_e_ag |
6.2.ah_bc_ada_gq_ama_sm | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $1$ | 1.2.ac 4 $\times$ 1.2.a $\times$ 1.2.b |
6.2.ah_bc_acy_ge_akq_qa | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 + 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.a_c |
6.2.ah_be_adm_ie_apk_ya | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 1.2.a 2 |
6.2.af_i_c_au_q_a | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 2 $\times$ 2.2.ab_a $\times$ 2.2.a_ae |
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_k_ak_c_q_abk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 2.2.ac_c $\times$ 4.2.ad_c_e_ak |
6.2.af_k_ai_ai_bk_acm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c $\times$ 2.2.a_ae |
6.2.af_k_ai_a_ac_m | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 2 x^{3} - 6 x^{5} + 8 x^{7} + 16 x^{8} - 48 x^{9} + 32 x^{10} )$ | $1$ | 1.2.ac $\times$ 5.2.ad_c_c_a_ag |
6.2.af_k_ai_c_am_bg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{2} + 6 x^{4} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ab_ac_a_g |
6.2.af_k_ai_e_au_bw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ac 2 $\times$ 2.2.ab_a $\times$ 2.2.a_ac |
6.2.af_k_ag_am_bg_abw | $6$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $1$ | 1.2.ac 3 $\times$ 1.2.b $\times$ 2.2.a_ae |
6.2.af_k_ag_ak_y_abg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{2} + 2 x^{3} + 2 x^{4} + 4 x^{5} - 8 x^{6} - 8 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ab_ac_c_c |
6.2.af_m_aba_ce_ado_ey | $6$ | $\F_{2}$ | $( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $1$ | 2.2.ac_c 2 $\times$ 2.2.ab_a |
6.2.af_m_ay_bu_acu_dw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 2.2.ac_c $\times$ 4.2.ad_e_ag_k |
6.2.af_m_au_bc_abk_bw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 4 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ab_a_a |
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_m_au_bi_acm_ea | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac $\times$ 2.2.ab_a $\times$ 3.2.ac_c_ac |
6.2.af_m_as_q_ae_ag | $6$ | $\F_{2}$ | $1 - 5 x + 12 x^{2} - 18 x^{3} + 16 x^{4} - 4 x^{5} - 6 x^{6} - 8 x^{7} + 64 x^{8} - 144 x^{9} + 192 x^{10} - 160 x^{11} + 64 x^{12}$ | $1$ | simple |
6.2.af_m_as_s_ao_o | $6$ | $\F_{2}$ | $1 - 5 x + 12 x^{2} - 18 x^{3} + 18 x^{4} - 14 x^{5} + 14 x^{6} - 28 x^{7} + 72 x^{8} - 144 x^{9} + 192 x^{10} - 160 x^{11} + 64 x^{12}$ | $1$ | simple |
6.2.af_m_as_u_au_y | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c $\times$ 2.2.a_ac |
6.2.af_m_as_w_abe_bs | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 4 x^{2} - 4 x^{3} + 6 x^{4} - 10 x^{5} + 12 x^{6} - 16 x^{7} + 32 x^{8} - 48 x^{9} + 32 x^{10} )$ | $1$ | 1.2.ac $\times$ 5.2.ad_e_ae_g_ak |
6.2.af_m_as_y_abo_cm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} - 4 x^{5} - 8 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ab_a_ac_e |
6.2.af_m_as_y_abm_ci | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 4 x^{2} - 4 x^{3} + 8 x^{4} - 14 x^{5} + 16 x^{6} - 16 x^{7} + 32 x^{8} - 48 x^{9} + 32 x^{10} )$ | $1$ | 1.2.ac $\times$ 5.2.ad_e_ae_i_ao |
6.2.af_m_as_ba_abw_dc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 6 x^{4} - 4 x^{5} - 8 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ab_a_ac_g |
6.2.af_m_as_bc_ace_ds | $6$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 1.2.c $\times$ 2.2.ab_a |
6.2.af_m_aq_g_y_ace | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.a $\times$ 4.2.ad_c_e_ak |
6.2.af_m_aq_i_o_abk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{3} - 2 x^{4} + 4 x^{5} - 16 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ac_a_c_ac |
6.2.af_m_aq_k_e_aq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{4} - 8 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac 2 $\times$ 4.2.ab_a_a_ac |