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Results (1-50 of 57 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
6.2.af_n_aw_w_ai_ae $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.ad_f $\times$ 4.2.ac_c_a_ae
6.2.ae_i_ai_e_a_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 + 16 x^{8} )$ $0$ 1.2.ac 2 $\times$ 4.2.a_a_a_a
6.2.ae_l_as_s_ai_ae $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 1.2.ab 2 $\times$ 4.2.ac_c_a_ae
6.2.ad_d_ac_c_ai_u $6$ $\F_{2}$ $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.ab_ab $\times$ 4.2.ac_c_a_ae
6.2.ad_d_a_ac_a_e $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.ad_f $\times$ 4.2.a_ac_a_e
6.2.ad_f_ag_e_a_a $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.ad_f $\times$ 4.2.a_a_a_a
6.2.ad_h_am_s_ay_bk $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.ad_f $\times$ 4.2.a_c_a_e
6.2.ac_ab_g_ag_ai_bc $6$ $\F_{2}$ $( 1 - 3 x^{2} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_ad $\times$ 4.2.ac_c_a_ae
6.2.ac_b_c_ac_ai_u $6$ $\F_{2}$ $( 1 - x^{2} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_ab $\times$ 4.2.ac_c_a_ae
6.2.ac_d_ac_c_ai_m $6$ $\F_{2}$ $( 1 + x^{2} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_b $\times$ 4.2.ac_c_a_ae
6.2.ac_d_a_ac_a_e $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 1.2.ab 2 $\times$ 4.2.a_ac_a_e
6.2.ac_e_ae_e_a_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.a_a_a_a
6.2.ac_f_ag_g_ai_e $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 1.2.ab $\times$ 1.2.b $\times$ 4.2.ac_c_a_ae
6.2.ac_f_ae_e_a_a $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 + 16 x^{8} )$ $2$ 1.2.ab 2 $\times$ 4.2.a_a_a_a
6.2.ac_h_ai_s_aq_bk $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 1.2.ab 2 $\times$ 4.2.a_c_a_e
6.2.ab_ad_a_k_a_au $6$ $\F_{2}$ $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.ab_ab $\times$ 4.2.a_ac_a_e
6.2.ab_ab_ac_e_a_a $6$ $\F_{2}$ $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.ab_ab $\times$ 4.2.a_a_a_a
6.2.ab_ab_g_ag_ai_u $6$ $\F_{2}$ $( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.b_ab $\times$ 4.2.ac_c_a_ae
6.2.ab_b_ae_g_ai_m $6$ $\F_{2}$ $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.ab_ab $\times$ 4.2.a_c_a_e
6.2.ab_b_ac_ac_i_ae $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 2.2.ad_f $\times$ 4.2.c_c_a_ae
6.2.a_af_a_o_a_abc $6$ $\F_{2}$ $( 1 - 3 x^{2} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_ad $\times$ 4.2.a_ac_a_e
6.2.a_ae_a_e_a_a $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 + 16 x^{8} )$ $0$ 2.2.a_ae $\times$ 4.2.a_a_a_a
6.2.a_ad_a_e_a_a $6$ $\F_{2}$ $( 1 - 3 x^{2} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.a_ad $\times$ 4.2.a_a_a_a
6.2.a_ad_a_k_a_au $6$ $\F_{2}$ $( 1 - x^{2} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_ab $\times$ 4.2.a_ac_a_e
6.2.a_ab_a_c_a_e $6$ $\F_{2}$ $( 1 - 3 x^{2} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_ad $\times$ 4.2.a_c_a_e
6.2.a_ab_a_e_a_a $6$ $\F_{2}$ $( 1 - x^{2} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.a_ab $\times$ 4.2.a_a_a_a
6.2.a_ab_a_g_a_am $6$ $\F_{2}$ $( 1 + x^{2} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_b $\times$ 4.2.a_ac_a_e
6.2.a_a_a_e_a_a $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 16 x^{8} )$ $0$ 1.2.ac $\times$ 1.2.c $\times$ 4.2.a_a_a_a
6.2.a_b_a_c_a_ae $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 1.2.ab $\times$ 1.2.b $\times$ 4.2.a_ac_a_e
6.2.a_b_a_e_a_a $6$ $\F_{2}$ $( 1 + x^{2} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.a_b $\times$ 4.2.a_a_a_a
6.2.a_b_a_g_a_m $6$ $\F_{2}$ $( 1 - x^{2} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_ab $\times$ 4.2.a_c_a_e
6.2.a_d_ac_c_ai_ae $6$ $\F_{2}$ $( 1 + x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 1.2.b 2 $\times$ 4.2.ac_c_a_ae
6.2.a_d_a_e_a_a $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 16 x^{8} )$ $2$ 1.2.ab $\times$ 1.2.b $\times$ 4.2.a_a_a_a
6.2.a_d_a_k_a_u $6$ $\F_{2}$ $( 1 + x^{2} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.a_b $\times$ 4.2.a_c_a_e
6.2.a_d_c_c_i_ae $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 1.2.ab 2 $\times$ 4.2.c_c_a_ae
6.2.a_e_a_e_a_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 + 16 x^{8} )$ $0$ 1.2.a 2 $\times$ 4.2.a_a_a_a
6.2.a_f_a_o_a_bc $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 1.2.ab $\times$ 1.2.b $\times$ 4.2.a_c_a_e
6.2.b_ad_a_k_a_au $6$ $\F_{2}$ $( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 2.2.b_ab $\times$ 4.2.a_ac_a_e
6.2.b_ab_ag_ag_i_u $6$ $\F_{2}$ $( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 2.2.ab_ab $\times$ 4.2.c_c_a_ae
6.2.b_ab_c_e_a_a $6$ $\F_{2}$ $( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + 16 x^{8} )$ $2$ 2.2.b_ab $\times$ 4.2.a_a_a_a
6.2.b_b_c_ac_ai_ae $6$ $\F_{2}$ $( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} - 16 x^{7} + 16 x^{8} )$ $2$ 2.2.d_f $\times$ 4.2.ac_c_a_ae
6.2.b_b_e_g_i_m $6$ $\F_{2}$ $( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 2.2.b_ab $\times$ 4.2.a_c_a_e
6.2.c_ab_ag_ag_i_bc $6$ $\F_{2}$ $( 1 - 3 x^{2} + 4 x^{4} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_ad $\times$ 4.2.c_c_a_ae
6.2.c_b_ac_ac_i_u $6$ $\F_{2}$ $( 1 - x^{2} + 4 x^{4} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_ab $\times$ 4.2.c_c_a_ae
6.2.c_d_a_ac_a_e $6$ $\F_{2}$ $( 1 + x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} - 8 x^{6} + 16 x^{8} )$ $2$ 1.2.b 2 $\times$ 4.2.a_ac_a_e
6.2.c_d_c_c_i_m $6$ $\F_{2}$ $( 1 + x^{2} + 4 x^{4} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 2.2.a_b $\times$ 4.2.c_c_a_ae
6.2.c_e_e_e_a_a $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )( 1 + 16 x^{8} )$ $0$ 1.2.a $\times$ 1.2.c $\times$ 4.2.a_a_a_a
6.2.c_f_e_e_a_a $6$ $\F_{2}$ $( 1 + x + 2 x^{2} )^{2}( 1 + 16 x^{8} )$ $2$ 1.2.b 2 $\times$ 4.2.a_a_a_a
6.2.c_f_g_g_i_e $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} - 4 x^{4} + 8 x^{6} + 16 x^{7} + 16 x^{8} )$ $2$ 1.2.ab $\times$ 1.2.b $\times$ 4.2.c_c_a_ae
6.2.c_h_i_s_q_bk $6$ $\F_{2}$ $( 1 + x + 2 x^{2} )^{2}( 1 + 2 x^{2} + 4 x^{4} + 8 x^{6} + 16 x^{8} )$ $2$ 1.2.b 2 $\times$ 4.2.a_c_a_e
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