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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
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_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_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.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_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_bg_ade_fw_aiu_mi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 3 $\times$ 3.2.ac_c_ac |
6.2.ai_bg_add_fq_aic_lc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_c_ab |
6.2.ai_bh_adr_if_apa_xb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.af_n_az_bn |
6.2.ai_bh_ado_hn_anb_tq | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.af_m_au_bd |
6.2.ai_bh_adn_hi_amo_su | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_d_af |
6.2.ai_bh_adl_gw_ale_qi | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_d_ad |
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.ai_bi_adu_ih_aou_wm | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ad_f_ah |
6.2.ai_bi_adu_ii_aoy_wu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 3 $\times$ 3.2.ac_e_ag |
6.2.ai_bj_aed_js_asj_bco | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
6.2.ai_bj_aeb_jh_are_bam | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ad_g_aj |
6.2.ai_bj_aeb_ji_ari_bau | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ac_f_ah |
6.2.ah_v_abf_g_cu_agb | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_e_h_av |
6.2.ah_w_abn_bk_b_abn | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_f_c_al |
6.2.ah_x_abr_bp_d_aby | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_f_c_al |
6.2.ah_x_abq_bk_q_acu | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_ab_c |
6.2.ah_x_abo_y_ca_afg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_ab_e |
6.2.ah_x_abn_s_cs_agm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_ab_f |
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_abz_cw_ade_ds | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_a_ab |
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_abx_cj_abq_y | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ac_a_d |
6.2.ah_y_abx_ck_abu_bg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_a_b |
6.2.ah_y_abv_by_ak_abg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_a_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_z_acl_fa_aiy_ns | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ad_f_ah |
6.2.ah_z_ack_er_ahr_lh | $6$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ad_f $\times$ 4.2.ae_i_am_r |
6.2.ah_z_acj_eq_ahy_ma | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_a |
6.2.ah_z_ach_ec_agg_iy | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_b_ad |
6.2.ah_z_acg_du_afg_hc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 6 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $2$ | 1.2.ac 2 $\times$ 4.2.ad_f_ag_g |
6.2.ah_z_acf_do_aeo_fw | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ac_b_a |
6.2.ah_z_acf_dq_aew_gm | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_b_ab |
6.2.ah_z_ace_dj_aea_ey | $6$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 3.2.ac_b_b |
6.2.ah_z_ace_dk_aee_fg | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 3 $\times$ 3.2.ab_b_a |
6.2.ah_ba_acs_fw_akp_qf | $6$ | $\F_{2}$ | $( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ | $6$ | 2.2.ac_d $\times$ 4.2.af_n_az_bn |
6.2.ah_ba_acr_fp_aju_ou | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 3.2.ac_d_ag |
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_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_ba_acr_fs_aki_pw | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 3.2.ad_g_aj |
6.2.ah_ba_acp_ff_aiu_nc | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_a |
6.2.ah_ba_acp_fi_aji_oe | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 2 x^{2} - 5 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_c_af |
6.2.ah_ba_acp_fj_ajm_om | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_b |
6.2.ah_ba_aco_ez_aid_ly | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_i_am_r |
6.2.ah_ba_acn_ew_ahy_ls | $6$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 2 x^{2} - 3 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 3 $\times$ 3.2.ab_c_ad |