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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.2.ag_t_abr_da_aep | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ad_f_ah |
5.2.ag_u_abw_dn_afl | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ad_g_aj |
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.af_l_an_h_ab | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_a_d |
5.2.af_m_at_x_abc | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.ac_b_a |
5.2.af_m_as_u_ax | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_b_b |
5.2.af_n_ay_bk_aby | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 2.2.ad_f $\times$ 3.2.ac_c_ac |
5.2.af_n_ax_bh_abt | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_c_ab |
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_abe_ca_acz | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_d_af |
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 |
5.2.af_o_abc_bu_acp | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_d_ad |
5.2.af_p_abi_ck_adq | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 2.2.ad_f $\times$ 3.2.ac_e_ag |
5.2.af_p_abh_ch_adl | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_b |
5.2.af_q_abm_cu_aeh | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ac_f_ah |
5.2.af_r_abp_db_aet | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $5$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ab_d |
5.2.ae_h_al_w_abl | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ad_f_ah |
5.2.ae_h_ag_ad_o | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.ab_ab_c |
5.2.ae_h_ae_aj_y | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.ab_ab_e |
5.2.ae_h_ad_am_bd | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_ab_f |
5.2.ae_i_ao_z_abn | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ad_g_aj |
5.2.ae_i_am_n_an | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{3} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_a_ab |
5.2.ae_i_al_k_ai | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 4 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ad_f $\times$ 3.2.ab_a_a |
5.2.ae_i_ak_h_ad | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{3} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_a_b |
5.2.ae_i_ai_b_h | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_a_d |
5.2.ae_j_ar_ba_abj | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_b_ad |
5.2.ae_j_ap_u_az | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_b_ab |
5.2.ae_j_ao_r_au | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.ab_b_a |
5.2.ae_k_aw_bn_acf | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 2 x^{2} - 5 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_c_af |
5.2.ae_k_au_bh_abv | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 2 x^{2} - 3 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_c_ad |
5.2.ae_k_at_be_abq | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ad_f $\times$ 3.2.ab_c_ac |
5.2.ae_k_as_bb_abl | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 2 x^{2} - x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_c_ab |
5.2.ae_k_ar_w_abe | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 6 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ | $3$ | 1.2.ab $\times$ 4.2.ad_f_ag_g |
5.2.ae_l_az_bu_acr | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $5$ | 1.2.b $\times$ 2.2.ad_f $\times$ 2.2.ac_d |
5.2.ae_l_ax_bo_ach | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_d_ad |
5.2.ae_m_aba_bt_acs | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ab 2 $\times$ 3.2.ac_d_ag |
5.2.ae_m_aba_bv_act | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 4 x^{2} - 3 x^{3} + 8 x^{4} - 4 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ab_e_ad |
5.2.ad_b_d_f_at | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ac_a_d |
5.2.ad_c_ab_j_au | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ab_ab $\times$ 3.2.ac_b_a |
5.2.ad_c_a_i_av | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ac_b_b |
5.2.ad_c_c_ab_ad | $5$ | $\F_{2}$ | $( 1 - 3 x^{2} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.a_ad $\times$ 3.2.ad_f_ah |
5.2.ad_d_ae_m_aw | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $2$ | 2.2.ab_ab $\times$ 3.2.ac_c_ac |
5.2.ad_d_ad_l_ax | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ac_c_ab |
5.2.ad_d_a_ac_d | $5$ | $\F_{2}$ | $( 1 - 3 x^{2} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.a_ad $\times$ 3.2.ad_g_aj |
5.2.ad_e_aj_r_aw | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $4$ | 2.2.ab_ab $\times$ 3.2.ac_d_ag |
5.2.ad_e_ai_q_ax | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ac_d_af |
5.2.ad_e_ag_o_az | $5$ | $\F_{2}$ | $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ab_ab $\times$ 3.2.ac_d_ad |
5.2.ad_e_af_d_c | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6} )$ | $4$ | 2.2.ad_f $\times$ 3.2.a_ab_ac |
5.2.ad_e_ae_a_h | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} - x^{3} - 2 x^{4} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.a_ab_ab |
5.2.ad_e_ac_ag_r | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + x^{3} - 2 x^{4} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.a_ab_b |