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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.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_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.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_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_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_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_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_abg_bo_abw | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ | $0$ | 1.2.ac 4 $\times$ 1.2.c |
5.2.ag_u_abw_do_afo | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 2.2.ac_c |
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_u_abs_cy_aei | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 + 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 2.2.a_c |
5.2.ag_w_ace_ei_agu | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ | $0$ | 1.2.ac 3 $\times$ 1.2.a 2 |
5.2.ae_e_e_am_q | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 2.2.a_ae |
5.2.ae_g_ae_e_ai | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 2.2.a_ac |
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_a_aq_bg | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}$ | $0$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 2.2.a_ae |
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 |
5.2.ae_i_ao_y_abk | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 2.2.ac_c $\times$ 3.2.ac_c_ac |
5.2.ae_i_ao_ba_abq | $5$ | $\F_{2}$ | $1 - 4 x + 8 x^{2} - 14 x^{3} + 26 x^{4} - 42 x^{5} + 52 x^{6} - 56 x^{7} + 64 x^{8} - 64 x^{9} + 32 x^{10}$ | $0$ | simple |
5.2.ae_i_am_o_aq | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.ae_g_ae_c |
5.2.ae_i_am_u_abg | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 1.2.c $\times$ 2.2.ac_c |
5.2.ae_i_ak_i_ag | $5$ | $\F_{2}$ | $1 - 4 x + 8 x^{2} - 10 x^{3} + 8 x^{4} - 6 x^{5} + 16 x^{6} - 40 x^{7} + 64 x^{8} - 64 x^{9} + 32 x^{10}$ | $0$ | simple |
5.2.ae_i_ak_k_am | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_c_ac_c |
5.2.ae_i_ak_m_aq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{3} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.a_a_ac |
5.2.ae_i_ai_a_i | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_c_a_ae |
5.2.ae_i_ai_c_e | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_c_a_ac |
5.2.ae_i_ai_e_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 2.2.a_ac |
5.2.ae_i_ag_ag_u | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} + 2 x^{3} - 6 x^{4} + 4 x^{5} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_c_c_ag |
5.2.ae_i_ag_ae_q | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{3} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.a_a_c |
5.2.ae_i_ae_am_bg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{3}( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac 3 $\times$ 2.2.c_c |
5.2.ae_k_ay_bs_acm | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ | $0$ | 1.2.a $\times$ 2.2.ac_c 2 |
5.2.ae_k_aw_bo_aci | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 2.2.ac_c $\times$ 3.2.ac_e_ag |
5.2.ae_k_au_bi_aca | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 4 x^{2} - 8 x^{3} + 10 x^{4} - 16 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_e_ai_k |
5.2.ae_k_au_bi_aby | $5$ | $\F_{2}$ | $1 - 4 x + 10 x^{2} - 20 x^{3} + 34 x^{4} - 50 x^{5} + 68 x^{6} - 80 x^{7} + 80 x^{8} - 64 x^{9} + 32 x^{10}$ | $0$ | simple |
5.2.ae_k_au_bk_ace | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac $\times$ 2.2.ac_c $\times$ 2.2.a_c |
5.2.ae_k_as_bc_abo | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ac_c_ac |
5.2.ae_k_as_be_abs | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_e_ag_k |
5.2.ae_k_as_bg_abw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} - 2 x^{3} + 4 x^{4} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.a_c_ac |
5.2.ae_k_aq_w_abc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 4 x^{2} - 4 x^{3} + 6 x^{4} - 8 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.ac_e_ae_g |
5.2.ae_k_aq_y_abg | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ | $0$ | 1.2.ac 3 $\times$ 1.2.a $\times$ 1.2.c |
5.2.ae_k_ao_q_aq | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{6} )$ | $0$ | 1.2.ac 2 $\times$ 3.2.a_c_c |
5.2.ae_m_abc_ca_adc | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $0$ | 1.2.ac $\times$ 1.2.a 2 $\times$ 2.2.ac_c |
5.2.ae_m_aba_bw_acu | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 1.2.ac $\times$ 1.2.a $\times$ 3.2.ac_e_ag |
5.2.ae_m_ay_bs_acm | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac 2 $\times$ 1.2.a $\times$ 2.2.a_c |
5.2.ae_o_abg_cm_ads | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 2 x^{2} )^{3}$ | $0$ | 1.2.ac 2 $\times$ 1.2.a 3 |
5.2.ac_ag_q_i_abw | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{4}$ | $0$ | 1.2.ac $\times$ 2.2.a_ae 2 |
5.2.ac_ae_m_e_abg | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} )$ | $0$ | 1.2.ac $\times$ 2.2.a_ae $\times$ 2.2.a_ac |
5.2.ac_ac_g_a_ai | $5$ | $\F_{2}$ | $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ | $0$ | 2.2.a_ae $\times$ 3.2.ac_c_ac |
5.2.ac_ac_i_a_aq | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}$ | $0$ | 1.2.ac 2 $\times$ 1.2.c $\times$ 2.2.a_ae |