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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
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.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.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.ad_e_ag_k_ao | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.ae_g_ae_c |
5.2.ac_ac_i_c_au | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_ae_a_k |
5.2.ac_a_a_g_am | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.ae_g_ae_c |
5.2.ac_a_e_ac_ae | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_ac_a_c |
5.2.ac_c_a_ag_m | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_a_a_ag |
5.2.ac_c_a_g_am | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_a_a_g |
5.2.ac_e_ai_o_au | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_c_ae_c |
5.2.ac_e_ae_g_ae | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_c_a_c |
5.2.ac_e_a_ac_m | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_c_e_c |
5.2.ac_g_ai_s_au | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.a_e_a_k |
5.2.ab_ac_e_c_ak | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_ae_a_k |
5.2.ab_a_c_ac_ac | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_ac_a_c |
5.2.ab_c_a_ag_g | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_a_a_ag |
5.2.ab_c_a_g_ag | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_a_a_g |
5.2.ab_e_ag_k_as | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_c_ae_c |
5.2.ab_e_ac_g_ac | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_c_a_c |
5.2.ab_e_c_c_o | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_c_e_c |
5.2.ab_g_ae_s_ak | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.a_e_a_k |
5.2.a_ac_a_c_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_ae_a_k |
5.2.a_a_a_ac_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_ac_a_c |
5.2.a_c_a_ag_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_a_a_ag |
5.2.a_c_a_g_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_a_a_g |
5.2.a_e_ae_g_aq | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_c_ae_c |
5.2.a_e_a_g_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_c_a_c |
5.2.a_e_e_g_q | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_c_e_c |
5.2.a_g_a_s_a | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.a_e_a_k |
5.2.b_ac_ae_c_k | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_ae_a_k |
5.2.b_a_ac_ac_c | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_ac_a_c |
5.2.b_c_a_ag_ag | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_a_a_ag |
5.2.b_c_a_g_g | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_a_a_g |
5.2.b_e_ac_c_ao | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_c_ae_c |
5.2.b_e_c_g_c | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_c_a_c |
5.2.b_e_g_k_s | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_c_e_c |
5.2.b_g_e_s_k | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.a_e_a_k |
5.2.c_ac_ai_c_u | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 4 x^{2} + 10 x^{4} - 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_ae_a_k |
5.2.c_a_ae_ac_e | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 2 x^{2} + 2 x^{4} - 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_ac_a_c |
5.2.c_a_a_g_m | $5$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 4 x + 6 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 24 x^{6} + 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.ac $\times$ 4.2.e_g_e_c |
5.2.c_c_a_ag_am | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_a_a_ag |
5.2.c_c_a_g_m | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 6 x^{4} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_a_a_g |
5.2.c_e_a_ac_am | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_c_ae_c |
5.2.c_e_e_g_e | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} + 2 x^{4} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_c_a_c |
5.2.c_e_i_o_u | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 8 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_c_e_c |
5.2.c_g_i_s_u | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 4 x^{2} + 10 x^{4} + 16 x^{6} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.a_e_a_k |
5.2.d_e_g_k_o | $5$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 4 x + 6 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 24 x^{6} + 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.ab $\times$ 4.2.e_g_e_c |
5.2.e_i_m_o_q | $5$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + 4 x + 6 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 24 x^{6} + 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.a $\times$ 4.2.e_g_e_c |
5.2.f_m_s_s_s | $5$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 4 x + 6 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 24 x^{6} + 32 x^{7} + 16 x^{8} )$ | $1$ | 1.2.b $\times$ 4.2.e_g_e_c |
5.2.g_q_y_w_u | $5$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 + 4 x + 6 x^{2} + 4 x^{3} + 2 x^{4} + 8 x^{5} + 24 x^{6} + 32 x^{7} + 16 x^{8} )$ | $0$ | 1.2.c $\times$ 4.2.e_g_e_c |