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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.2.ah_y_acc_dp_afi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.af_m_au_bd |
5.2.ah_z_ach_ec_age | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ad_f_ah |
5.2.ah_ba_acp_fd_aic | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
5.2.ah_ba_acn_eu_ahk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ad_g_aj |
5.2.ag_p_aq_af_be | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ae_f_c_al |
5.2.ag_q_ay_w_au | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ae_g_ae_c |
5.2.ag_q_av_i_i | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_a_d |
5.2.ag_r_abc_be_abg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 2 $\times$ 3.2.ac_b_a |
5.2.ag_r_abb_ba_ay | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_b_b |
5.2.ag_s_abl_ck_ado | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_a |
5.2.ag_s_abk_cf_ade | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ae_i_am_r |
5.2.ag_s_abi_bw_acm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.ac_c_ac |
5.2.ag_s_abh_bs_ace | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_c_ab |
5.2.ag_t_abq_cv_aef | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ab $\times$ 4.2.af_m_au_bd |
5.2.ag_t_abq_cx_aek | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_b |
5.2.ag_t_abp_cs_aea | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_d_af |
5.2.ag_t_abn_ck_adk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_d_ad |
5.2.ag_u_abw_dp_afq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $4$ | 1.2.ac $\times$ 2.2.ac_d 2 |
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_u_abu_dg_aey | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.ac_e_ag |
5.2.ag_v_acb_ea_agh | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
5.2.ag_v_aca_dx_agc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_d |
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.ag_v_abz_du_afw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ac_f_ah |
5.2.af_k_ae_ax_cc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_c_g_ap |
5.2.af_l_al_ad_t | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$ | $5$ | 1.2.ab $\times$ 4.2.ae_f_c_al |
5.2.af_l_ak_ag_y | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 2 $\times$ 3.2.ab_ab_c |
5.2.af_l_aj_al_bi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 3 x^{2} + 3 x^{3} - 11 x^{4} + 6 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_d_d_al |
5.2.af_l_ai_ao_bo | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 2 $\times$ 3.2.ab_ab_e |
5.2.af_l_ah_as_bw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_ab_f |
5.2.af_m_as_s_as | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.ae_g_ae_c |
5.2.af_m_ar_q_aq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_a_ab |
5.2.af_m_aq_m_ai | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 4 x^{5} + 8 x^{6} )$ | $1$ | 1.2.ac 2 $\times$ 3.2.ab_a_a |
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_m_ap_i_a | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_a_b |
5.2.af_m_an_a_q | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_a_d |
5.2.af_n_abb_by_ada | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ac_c $\times$ 3.2.ad_f_ah |
5.2.af_n_az_br_aco | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 15 x^{4} - 18 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_f_aj_p |
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_ax_bi_abw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_b_ad |
5.2.af_n_aw_bc_abk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 6 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $2$ | 1.2.ac $\times$ 4.2.ad_f_ag_g |
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_ba_abg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_b_ab |
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_n_au_w_ay | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $2$ | 1.2.ac 2 $\times$ 3.2.ab_b_a |
5.2.af_o_abf_cd_ade | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.ac_d_ag |
5.2.af_o_abf_cg_adm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ac_c $\times$ 3.2.ad_g_aj |
5.2.af_o_abe_cb_adc | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ | $4$ | 1.2.a $\times$ 4.2.af_m_au_bd |
5.2.af_o_abe_cd_adi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ad_g_am_t |
5.2.af_o_abd_bx_acu | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_a |