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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.2.ak_by_age_nw_awu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{5}$ | $0$ | 1.2.ac 5 |
5.2.aj_bp_aes_kc_aqi | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.ad_f |
5.2.aj_bq_aey_ku_aro | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $1$ | 1.2.ac 4 $\times$ 1.2.ab |
5.2.ai_bg_adg_gi_ajw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 2.2.ac_c |
5.2.ai_bh_ado_hj_alu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $4$ | 1.2.ac $\times$ 2.2.ad_f 2 |
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_bh_adm_ha_alc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.ac_d |
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.ai_bi_ads_hs_ami | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $0$ | 1.2.ac 4 $\times$ 1.2.a |
5.2.ai_bj_ady_ik_ano | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $2$ | 1.2.ac 3 $\times$ 1.2.ab 2 |
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_x_abu_co_adk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.ab_ab |
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_y_aca_dg_aeq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 2 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 3 $\times$ 2.2.ab_a |
5.2.ah_z_ack_eq_ahg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ac_c |
5.2.ah_z_acj_el_agw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.af_n_az_bn |
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_z_acg_dy_afw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.ab_b |
5.2.ah_ba_acq_fg_aih | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ae_j_ap |
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_aco_ey_ahs | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ac 2 $\times$ 1.2.ab $\times$ 2.2.ac_c |
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_ba_acm_eq_ahc | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $1$ | 1.2.ac 4 $\times$ 1.2.b |
5.2.ah_bb_acv_ft_ajd | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ | $5$ | 1.2.ab $\times$ 2.2.ad_f 2 |
5.2.ah_bb_acu_fp_aiw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ae_j_ap |
5.2.ah_bb_acu_fq_aiy | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 2.2.ad_f |
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_bb_acs_fi_aii | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.ab_d |
5.2.ah_bc_acz_gd_aju | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 1.2.ab 2 $\times$ 2.2.ad_f |
5.2.ah_bc_acy_ga_ajo | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ | $1$ | 1.2.ac 3 $\times$ 1.2.ab $\times$ 1.2.a |
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_o_aj_abb_cs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ | $4$ | 1.2.ac $\times$ 4.2.ae_e_h_av |
5.2.ag_o_ai_abg_dc | $5$ | $\F_{2}$ | $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $0$ | 1.2.ac 3 $\times$ 2.2.a_ae |
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_p_ao_ao_bw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.a_ad |
5.2.ag_q_aba_bh_abr | $5$ | $\F_{2}$ | $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $5$ | 2.2.ad_f $\times$ 3.2.ad_c_b |
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_q_au_e_q | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 2.2.a_ac |
5.2.ag_r_abg_bx_acs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $4$ | 1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_ab |
5.2.ag_r_abd_bj_abq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ | $4$ | 1.2.ac $\times$ 1.2.ab $\times$ 3.2.ad_c_b |
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_r_aba_w_aq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac 3 $\times$ 2.2.a_ab |
5.2.ag_s_abo_cy_aeq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $0$ | 1.2.ac $\times$ 2.2.ac_c 2 |
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_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_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 |