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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.2.ai_bh_adn_he_alk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ae_j_ap |
5.2.ai_bi_adt_hw_amq | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ad_f |
5.2.ah_w_abn_bs_abw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ad_c_b |
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_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.ah_bb_act_fm_aiq | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ac_d |
5.2.ah_bd_add_go_akm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{3}$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab 3 |
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_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_abj_ca_acu | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ab_ab |
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_abt_di_afe | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ac_c $\times$ 3.2.ae_j_ap |
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_abx_dq_afq | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
5.2.ag_u_abv_dk_afg | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.b $\times$ 2.2.ad_f |
5.2.ag_u_abt_dc_aeq | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ab_b |
5.2.ag_v_acb_ea_agi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ae_j_ap |
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.ag_w_acf_ek_agy | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.a $\times$ 2.2.ad_f |
5.2.ag_w_acd_ee_agm | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ab_d |
5.2.af_k_an_w_abm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 2.2.ac_c $\times$ 3.2.ad_c_b |
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_aj_ak_bg | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x^{2} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.a_ad |
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_at_ba_abk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ad_c_b |
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_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_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_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_at_s_aq | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x^{2} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.a_ab |
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_abd_ca_adc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} - 5 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_c_af |
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_abb_bs_acm | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} - 3 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_c_ad |
5.2.af_o_az_bk_abw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} - x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_c_ab |
5.2.af_p_abj_co_ady | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.ac_c $\times$ 2.2.ac_d |
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_ci_ado | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ad_f_ah |
5.2.af_p_abh_ck_ads | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.b $\times$ 2.2.ac_d |
5.2.af_p_abf_ca_acy | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 2.2.ab_a |
5.2.af_p_abf_cc_adc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_d_ad |
5.2.af_p_abd_bu_acm | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 + x^{2} + 4 x^{4} )$ | $3$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.a_b |
5.2.af_q_abl_cs_aee | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ad_g_aj |
5.2.af_q_abj_cm_ads | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 4 x^{2} - 3 x^{3} + 8 x^{4} - 4 x^{5} + 8 x^{6} )$ | $3$ | 1.2.ac 2 $\times$ 3.2.ab_e_ad |