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Results (1-50 of 183607 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
4.2.ai_bg_adc_fg $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}$ $0$ 1.2.ac 4
4.2.ah_z_acg_ds $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ad_f
4.2.ah_ba_ack_ea $4$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ $1$ 1.2.ac 3 $\times$ 1.2.ab
4.2.ag_s_abk_ce $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $0$ 1.2.ac 2 $\times$ 2.2.ac_c
4.2.ag_t_abq_cr $4$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $4$ 2.2.ad_f 2
4.2.ag_t_abp_co $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ae_j_ap
4.2.ag_t_abo_cm $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ac_d
4.2.ag_u_abt_cw $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $3$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f
4.2.ag_u_abs_cu $4$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ $0$ 1.2.ac 3 $\times$ 1.2.a
4.2.ag_v_abw_dc $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}$ $2$ 1.2.ac 2 $\times$ 1.2.ab 2
4.2.af_k_aj_g $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ad_c_b
4.2.af_l_ao_q $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ab_ab
4.2.af_m_au_bd $4$ $\F_{2}$ $1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8}$ $4$ simple
4.2.af_m_as_y $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac 2 $\times$ 2.2.ab_a
4.2.af_n_aba_bq $4$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 2.2.ad_f $\times$ 2.2.ac_c
4.2.af_n_az_bn $4$ $\F_{2}$ $1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8}$ $4$ simple
4.2.af_n_ax_bi $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ad_f_ah
4.2.af_n_aw_bg $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ab_b
4.2.af_o_abd_bv $4$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $4$ 2.2.ad_f $\times$ 2.2.ac_d
4.2.af_o_abc_bs $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c
4.2.af_o_abb_bq $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ad_g_aj
4.2.af_o_aba_bo $4$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ $1$ 1.2.ac 3 $\times$ 1.2.b
4.2.af_p_abg_bz $4$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ $4$ 1.2.ab $\times$ 3.2.ae_j_ap
4.2.af_p_abg_ca $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 1.2.a $\times$ 2.2.ad_f
4.2.af_p_abf_by $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $3$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_d
4.2.af_p_abe_bw $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ab_d
4.2.af_q_abj_cf $4$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $4$ 1.2.ab 2 $\times$ 2.2.ad_f
4.2.af_q_abi_ce $4$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ac 2 $\times$ 1.2.ab $\times$ 1.2.a
4.2.af_r_abl_ck $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{3}$ $3$ 1.2.ac $\times$ 1.2.ab 3
4.2.ae_e_h_av $4$ $\F_{2}$ $1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8}$ $4$ simple
4.2.ae_e_i_ay $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}$ $0$ 1.2.ac 2 $\times$ 2.2.a_ae
4.2.ae_f_c_al $4$ $\F_{2}$ $1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8}$ $4$ simple
4.2.ae_f_e_aq $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x^{2} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.a_ad
4.2.ae_g_ae_c $4$ $\F_{2}$ $1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8}$ $0$ simple
4.2.ae_g_ab_ag $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ac_a_d
4.2.ae_g_a_ai $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} )$ $0$ 1.2.ac 2 $\times$ 2.2.a_ac
4.2.ae_h_ak_p $4$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $4$ 2.2.ad_f $\times$ 2.2.ab_ab
4.2.ae_h_ah_h $4$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ $4$ 1.2.ab $\times$ 3.2.ad_c_b
4.2.ae_h_ag_e $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ $2$ 1.2.ac $\times$ 3.2.ac_b_a
4.2.ae_h_af_c $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ac_b_b
4.2.ae_h_ae_a $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x^{2} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.a_ab
4.2.ae_i_aq_bc $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ $0$ 2.2.ac_c 2
4.2.ae_i_an_u $4$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $3$ 2.2.ad_f $\times$ 2.2.ab_a
4.2.ae_i_am_r $4$ $\F_{2}$ $1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8}$ $4$ simple
4.2.ae_i_al_o $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $3$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ab_ab
4.2.ae_i_ak_m $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ $0$ 1.2.ac $\times$ 3.2.ac_c_ac
4.2.ae_i_aj_k $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ $3$ 1.2.ac $\times$ 3.2.ac_c_ab
4.2.ae_i_ai_i $4$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ $0$ 1.2.ac 3 $\times$ 1.2.c
4.2.ae_j_as_be $4$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 2.2.ac_c $\times$ 2.2.ac_d
4.2.ae_j_ar_bb $4$ $\F_{2}$ $1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8}$ $4$ simple
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