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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.2.ag_t_abr_db_aes | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ae_j_ar_bb |
5.2.ag_u_abv_dj_afe | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ae_k_at_bd |
5.2.ag_u_abu_df_aew | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ad_f_ah |
5.2.ag_v_abz_dt_afu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ad_g_aj |
5.2.af_k_ag_ao_bk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 4.2.ad_c_e_ak |
5.2.af_k_af_at_bu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 5 x^{3} - 13 x^{4} + 10 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_c_f_an |
5.2.af_l_ao_n_ao | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} - 2 x^{3} + 3 x^{4} - 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_d_ac_d |
5.2.af_l_an_i_ae | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} - x^{3} - 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 1.2.ac $\times$ 4.2.ad_d_ab_a |
5.2.af_l_am_d_g | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_d_a_ad |
5.2.af_l_al_ab_o | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} + x^{3} - 5 x^{4} + 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_d_b_af |
5.2.af_l_ak_af_w | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} + 2 x^{3} - 7 x^{4} + 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_d_c_ah |
5.2.af_m_au_be_abs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 4.2.ad_e_ag_k |
5.2.af_m_as_v_aba | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 4 x^{2} - 4 x^{3} + 5 x^{4} - 8 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_e_ae_f |
5.2.af_m_aq_l_ag | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 4 x^{2} - 2 x^{3} - x^{4} - 4 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_e_ac_ab |
5.2.af_m_ap_h_c | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_a_d |
5.2.af_n_az_bs_acq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 2.2.ab_a |
5.2.af_n_ay_bn_acg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 8 x^{3} + 13 x^{4} - 16 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_ai_n |
5.2.af_n_ax_bh_abu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 9 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_ah_j |
5.2.af_n_ax_bj_aby | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 11 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_ah_l |
5.2.af_n_aw_bd_abm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 7 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_ag_h |
5.2.af_n_av_y_abc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_b_a |
5.2.af_n_av_z_abe | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 5 x^{3} + 5 x^{4} - 10 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_af_f |
5.2.af_n_au_v_aw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_b_b |
5.2.af_o_abd_bz_ada | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_g_al_r |
5.2.af_o_abd_cb_ade | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 2.2.ab_b |
5.2.af_o_abc_bu_acq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 10 x^{3} + 14 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ac $\times$ 4.2.ad_g_ak_o |
5.2.af_o_abc_bv_acs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_g_ak_p |
5.2.af_o_abb_bq_aci | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 18 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 1.2.ac $\times$ 4.2.ad_g_aj_m |
5.2.af_o_aba_bm_aca | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_c_ac |
5.2.af_o_aba_bn_acc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 8 x^{3} + 11 x^{4} - 16 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_g_ai_l |
5.2.af_o_az_bj_abu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_c_ab |
5.2.af_p_abh_cg_adk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_d_ag |
5.2.af_p_abh_ch_adm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 7 x^{2} - 13 x^{3} + 19 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_h_an_t |
5.2.af_p_abh_cj_adq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 7 x^{2} - 13 x^{3} + 21 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_h_an_v |
5.2.af_p_abg_cd_ade | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_d_af |
5.2.af_p_abg_cf_adi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 7 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_h_am_t |
5.2.af_p_abf_cb_ada | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 7 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_h_al_r |
5.2.af_p_abe_bx_acs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_d_ad |
5.2.af_q_abm_cv_aej | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ab $\times$ 2.2.ac_d 2 |
5.2.af_q_abl_ct_aeg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ac_d $\times$ 2.2.ab_d |
5.2.af_q_abk_co_adw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_e_ag |
5.2.af_q_abk_cp_ady | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 8 x^{2} - 14 x^{3} + 23 x^{4} - 28 x^{5} + 32 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_i_ao_x |
5.2.af_r_abo_cz_aeo | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ac_f_ah |
5.2.ae_f_b_aj_o | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 16 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ac_ab_d_ab |
5.2.ae_g_ag_n_aba | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x - 2 x^{3} + 9 x^{4} - 4 x^{5} - 16 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ac_a_ac_j |
5.2.ae_g_ad_ab_c | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + x^{3} + x^{4} + 2 x^{5} - 16 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ac_a_b_b |
5.2.ae_g_ac_ag_m | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{3} - 2 x^{4} + 4 x^{5} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_a_c_ac |
5.2.ae_g_ab_ak_u | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{3} - 4 x^{4} + 6 x^{5} - 16 x^{7} + 16 x^{8} )$ | $3$ | 1.2.ac $\times$ 4.2.ac_a_d_ae |
5.2.ae_g_a_ap_be | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 4 x^{3} - 7 x^{4} + 8 x^{5} - 16 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ac_a_e_ah |
5.2.ae_g_a_ao_bc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 4 x^{3} - 6 x^{4} + 8 x^{5} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_a_e_ag |