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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
6.2.am_cu_aku_bea_acku_dwy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{6}$ | $0$ | 1.2.ac 6 |
6.2.al_cj_aio_wq_abtw_cuy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ad_f |
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.ak_by_agi_pg_abcy_bsy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.ac_c |
6.2.ak_bz_ags_qz_abho_cay | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f 2 |
6.2.ak_bz_agr_qs_abgs_bzk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ae_j_ap |
6.2.ak_bz_agq_qm_abga_bye | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ac_d |
6.2.ak_ca_agz_ry_abju_ceq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ad_f |
6.2.ak_ca_agy_rs_abjc_cdk | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{5}$ | $0$ | 1.2.ac 5 $\times$ 1.2.a |
6.2.ak_cb_ahg_sy_abme_ciq | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ | $2$ | 1.2.ac 4 $\times$ 1.2.ab 2 |
6.2.aj_bm_adt_gk_aig_km | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_c_b |
6.2.aj_bn_aec_hw_ama_qy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_ab |
6.2.aj_bo_aem_jp_aqq_yy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.af_m_au_bd |
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_bp_aew_li_avg_bgy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
6.2.aj_bp_aev_lb_auk_bfk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.af_n_az_bn |
6.2.aj_bp_aet_ko_asw_bcq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_f_ah |
6.2.aj_bp_aes_ki_ase_bbk | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_b |
6.2.aj_bq_aff_ms_ayp_bmn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{3}$ | $6$ | 2.2.ad_f 3 |
6.2.aj_bq_afe_mm_axz_blm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ae_j_ap |
6.2.aj_bq_afd_mh_axm_bkq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
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_afb_lu_avy_bhw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ad_g_aj |
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_br_afl_nl_abaf_bpe | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f 2 |
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.aj_br_afk_ng_azs_boi | $6$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ad_f |
6.2.aj_br_afj_na_aza_bnc | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ac_d |
6.2.aj_br_afi_mu_ayi_blw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.ab_d |
6.2.aj_bs_afr_of_abby_bsa | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ad_f |
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.aj_bt_afx_pa_abdu_bvc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 2 x^{2} )^{3}$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab 3 |
6.2.ai_bc_abx_t_ec_ajo | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_e_h_av |
6.2.ai_bc_abw_m_ey_alc | $6$ | $\F_{2}$ | $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ | $0$ | 1.2.ac 4 $\times$ 2.2.a_ae |
6.2.ai_bd_acg_cf_i_adc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_f_c_al |
6.2.ai_bd_ace_bs_bw_afw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.a_ad |
6.2.ai_be_acs_en_agf_ik | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ad_c_b |
6.2.ai_be_acq_dy_aei_ey | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac 2 $\times$ 4.2.ae_g_ae_c |
6.2.ai_be_acn_de_aby_q | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_a_d |
6.2.ai_be_acm_cy_abg_aq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 4 $\times$ 2.2.a_ac |
6.2.ai_bf_ada_fr_aiy_my | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_ab |
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.ai_bf_acw_eq_afs_hc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ac_b_a |
6.2.ai_bf_acv_ek_afa_fw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_b_b |
6.2.ai_bf_acu_ee_aei_eq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 4 $\times$ 2.2.a_ab |
6.2.ai_bg_adk_hk_ano_uy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $0$ | 1.2.ac 2 $\times$ 2.2.ac_c 2 |
6.2.ai_bg_adj_hb_amh_sn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.af_m_au_bd |
6.2.ai_bg_adh_gq_ale_qq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ab_a |
6.2.ai_bg_adg_gj_aki_pc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac 2 $\times$ 4.2.ae_i_am_r |
6.2.ai_bg_adf_gc_ajm_no | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ab_ab |