Abelian variety search results

Results (1-50 of 9546 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
5.2.aj_bp_aes_kc_aqi	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$2$	$3$	$-6$	$1$	1.2.ac^3 $\times$ 2.2.ad_f
5.2.ai_bh_adm_ha_alc	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$2$	$3$	$-5$	$2$	1.2.ac^3 $\times$ 2.2.ac_d
5.2.ai_bi_adt_hw_amq	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$3$	$2$	$-5$	$2$	1.2.ac^2 $\times$ 1.2.ab $\times$ 2.2.ad_f
5.2.ai_bj_ady_ik_ano	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$	$2$	$3$	$-5$	$4$	1.2.ac^3 $\times$ 1.2.ab^2
5.2.ah_x_abu_co_adk	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$	$2$	$3$	$-4$	$1$	1.2.ac^3 $\times$ 2.2.ab_ab
5.2.ah_y_aca_dg_aeq	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - 2 x^{3} + 4 x^{4} )$	$1$	$4$	$-4$	$2$	1.2.ac^3 $\times$ 2.2.ab_a
5.2.ah_z_ack_eq_ahg	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$	$2$	$3$	$-4$	$1$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ac_c
5.2.ah_z_ach_ec_age	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$	$3$	$2$	$-4$	$2$	1.2.ac^2 $\times$ 3.2.ad_f_ah
5.2.ah_z_acg_dy_afw	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$	$2$	$3$	$-4$	$3$	1.2.ac^3 $\times$ 2.2.ab_b
5.2.ah_ba_acp_fd_aic	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$4$	$1$	$-4$	$2$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ac_d
5.2.ah_ba_acn_eu_ahk	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$	$3$	$2$	$-4$	$3$	1.2.ac^2 $\times$ 3.2.ad_g_aj
5.2.ah_bb_acu_fq_aiy	$5$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$2$	$3$	$-4$	$3$	1.2.ac^2 $\times$ 1.2.a $\times$ 2.2.ad_f
5.2.ah_bb_act_fm_aiq	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$3$	$2$	$-4$	$4$	1.2.ac^2 $\times$ 1.2.ab $\times$ 2.2.ac_d
5.2.ah_bb_acs_fi_aii	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$	$2$	$3$	$-4$	$5$	1.2.ac^3 $\times$ 2.2.ab_d
5.2.ah_bc_acz_gd_aju	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$4$	$1$	$-4$	$4$	1.2.ac $\times$ 1.2.ab^2 $\times$ 2.2.ad_f
5.2.ag_p_aq_af_be	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8} )$	$4$	$1$	$-3$	$1$	1.2.ac $\times$ 4.2.ae_f_c_al
5.2.ag_p_ao_ao_bw	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x^{2} + 4 x^{4} )$	$2$	$3$	$-3$	$2$	1.2.ac^3 $\times$ 2.2.a_ad
5.2.ag_q_av_i_i	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$2$	1.2.ac^2 $\times$ 3.2.ac_a_d
5.2.ag_r_abg_bx_acs	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$	$4$	$1$	$-3$	$1$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_ab
5.2.ag_r_abc_be_abg	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$	$2$	$3$	$-3$	$2$	1.2.ac^2 $\times$ 3.2.ac_b_a
5.2.ag_r_abb_ba_ay	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$3$	1.2.ac^2 $\times$ 3.2.ac_b_b
5.2.ag_r_aba_w_aq	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - x^{2} + 4 x^{4} )$	$2$	$3$	$-3$	$4$	1.2.ac^3 $\times$ 2.2.a_ab
5.2.ag_s_abl_ck_ado	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$2$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_a
5.2.ag_s_abk_cf_ade	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8} )$	$4$	$1$	$-3$	$2$	1.2.ac $\times$ 4.2.ae_i_am_r
5.2.ag_s_abi_bw_acm	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$	$0$	$5$	$-3$	$3$	1.2.ac^2 $\times$ 3.2.ac_c_ac
5.2.ag_s_abh_bs_ace	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$4$	1.2.ac^2 $\times$ 3.2.ac_c_ab
5.2.ag_t_abs_dg_afc	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$2$	$3$	$-3$	$2$	1.2.ac $\times$ 2.2.ac_c $\times$ 2.2.ac_d
5.2.ag_t_abq_cw_aei	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$	$2$	$3$	$-3$	$2$	1.2.ac^2 $\times$ 3.2.ac_d_ag
5.2.ag_t_abq_cx_aek	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$	$4$	$1$	$-3$	$3$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_b
5.2.ag_t_abp_cs_aea	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$3$	1.2.ac^2 $\times$ 3.2.ac_d_af
5.2.ag_t_abo_co_ads	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )$	$2$	$3$	$-3$	$4$	1.2.ac^2 $\times$ 1.2.ab $\times$ 2.2.ab_a
5.2.ag_t_abn_ck_adk	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$5$	1.2.ac^2 $\times$ 3.2.ac_d_ad
5.2.ag_t_abm_cg_adc	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{3}( 1 + x^{2} + 4 x^{4} )$	$2$	$3$	$-3$	$6$	1.2.ac^3 $\times$ 2.2.a_b
5.2.ag_u_abx_dq_afq	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$2$	1.2.ab $\times$ 2.2.ad_f $\times$ 2.2.ac_c
5.2.ag_u_abw_dp_afq	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$	$4$	$1$	$-3$	$4$	1.2.ac $\times$ 2.2.ac_d^2
5.2.ag_u_abv_dk_afg	$5$	$\F_{2}$	$2$	$( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$4$	1.2.ac^2 $\times$ 1.2.b $\times$ 2.2.ad_f
5.2.ag_u_abu_dg_aey	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$	$0$	$5$	$-3$	$5$	1.2.ac^2 $\times$ 3.2.ac_e_ag
5.2.ag_u_abt_dc_aeq	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$6$	1.2.ac^2 $\times$ 1.2.ab $\times$ 2.2.ab_b
5.2.ag_v_aca_dw_aga	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$	$2$	$3$	$-3$	$4$	1.2.ac $\times$ 1.2.ab^2 $\times$ 2.2.ac_c
5.2.ag_v_aca_dx_agc	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$	$4$	$1$	$-3$	$5$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.ab_d
5.2.ag_v_aca_dy_age	$5$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$2$	$3$	$-3$	$6$	1.2.ac^2 $\times$ 1.2.a $\times$ 2.2.ac_d
5.2.ag_v_abz_du_afw	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6} )$	$3$	$2$	$-3$	$7$	1.2.ac^2 $\times$ 3.2.ac_f_ah
5.2.ag_v_aby_dq_afo	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$	$2$	$3$	$-3$	$8$	1.2.ac^3 $\times$ 1.2.ab $\times$ 1.2.b
5.2.ag_w_acf_ek_agy	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$6$	1.2.ac $\times$ 1.2.ab $\times$ 1.2.a $\times$ 2.2.ad_f
5.2.ag_w_ace_eh_ags	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$	$4$	$1$	$-3$	$8$	1.2.ac $\times$ 1.2.ab^2 $\times$ 2.2.ac_d
5.2.ag_w_acd_ee_agm	$5$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$	$3$	$2$	$-3$	$10$	1.2.ac^2 $\times$ 1.2.ab $\times$ 2.2.ab_d
5.2.ag_x_aci_es_ahk	$5$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}$	$2$	$3$	$-3$	$12$	1.2.ac^2 $\times$ 1.2.ab^2 $\times$ 1.2.a
5.2.af_j_ac_aw_bw	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$	$2$	$3$	$-2$	$1$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.a_ae
5.2.af_k_ah_aj_ba	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x^{2} + 4 x^{4} )$	$4$	$1$	$-2$	$2$	1.2.ac $\times$ 2.2.ad_f $\times$ 2.2.a_ad
5.2.af_k_ae_ax_cc	$5$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$	$4$	$1$	$-2$	$3$	1.2.ac $\times$ 4.2.ad_c_g_ap