↑

Learn more

Refine search

Base field Base char. Dimension $p$-rank Initial coefficients
Simple Geom. simple Primitive Princ. polarizable Jacobian
Slopes Points on variety Points on curve Simple factors
Angle rank # Jacobians # Hyp. Jacobians # twists Max twist degree
End. degree $p$-rank deficit (Geom.) Sq.free
Use Geometric decomposition in the following inputs
Dim 1 factors Dim 2 factors Dim 3 factors Dim 4 factors Dim 5 factors
(distinct) (distinct) (distinct) Number field Galois group
Sort order Select

Results (1-50 of 1796 matches)

Next   displayed columns for results
Label Dimension Base field L-polynomial $p$-rank Isogeny factors
6.2.am_cu_aku_bea_acku_dwy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{6}$ $0$ 1.2.ac 6
6.2.al_cj_aio_wq_abtw_cuy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.ad_f
6.2.ak_bz_ags_qz_abho_cay $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $4$ 1.2.ac 2 $\times$ 2.2.ad_f 2
6.2.ak_ca_agy_rs_abjc_cdk $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{5}$ $0$ 1.2.ac 5 $\times$ 1.2.a
6.2.ak_cb_ahg_sy_abme_ciq $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ $2$ 1.2.ac 4 $\times$ 1.2.ab 2
6.2.aj_bn_aec_hw_ama_qy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.ab_ab
6.2.aj_bo_aem_jp_aqq_yy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 1.2.ac 2 $\times$ 4.2.af_m_au_bd
6.2.aj_bp_aew_li_avg_bgy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.ac_c
6.2.aj_bp_aev_lb_auk_bfk $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 1.2.ac 2 $\times$ 4.2.af_n_az_bn
6.2.aj_bq_afc_ma_awq_bjc $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.ac_c
6.2.aj_br_afl_nl_abaf_bpe $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $5$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f 2
6.2.aj_br_afk_ng_azs_boi $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ad_f
6.2.ai_bc_abx_t_ec_ajo $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ $4$ 1.2.ac 2 $\times$ 4.2.ae_e_h_av
6.2.ai_bc_abw_m_ey_alc $6$ $\F_{2}$ $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ $0$ 1.2.ac 4 $\times$ 2.2.a_ae
6.2.ai_bd_ace_bs_bw_afw $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 - 3 x^{2} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.a_ad
6.2.ai_bf_acu_ee_aei_eq $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 - x^{2} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.a_ab
6.2.ai_bg_adc_fk_ahk_jw $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{5}$ $0$ 1.2.ac 5 $\times$ 1.2.c
6.2.ai_bh_ads_il_apq_yc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $4$ 2.2.ad_f 2 $\times$ 2.2.ac_c
6.2.ai_bh_adr_if_apa_xb $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ $6$ 2.2.ad_f $\times$ 4.2.af_n_az_bn
6.2.ai_bh_adq_ic_aoy_xc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ac_d
6.2.ai_bh_adk_gq_akm_pc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x^{2} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.a_b
6.2.ai_bi_adw_is_apz_yo $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ $5$ 1.2.ac $\times$ 1.2.ab $\times$ 4.2.af_n_az_bn
6.2.ai_bj_aee_jx_asw_bdk $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $4$ 1.2.ac $\times$ 1.2.a $\times$ 2.2.ad_f 2
6.2.ai_bj_aec_jm_ars_bbk $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 1.2.ab 2 $\times$ 2.2.ac_c
6.2.ai_bj_aea_jc_aqq_zo $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{4}$ $2$ 1.2.ac 4 $\times$ 1.2.ab $\times$ 1.2.b
6.2.ai_bk_aei_ki_ats_beu $6$ $\F_{2}$ $( 1 + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{4}$ $0$ 1.2.ac 4 $\times$ 1.2.a 2
6.2.ai_bl_aeo_lc_avk_bho $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ $2$ 1.2.ac 3 $\times$ 1.2.ab 2 $\times$ 1.2.a
6.2.ah_v_abf_g_cu_agb $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ $6$ 2.2.ad_f $\times$ 4.2.ae_e_h_av
6.2.ah_v_abe_a_dk_ahc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ae
6.2.ah_w_abo_bt_abg_y $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{4} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ $4$ 1.2.ac 2 $\times$ 4.2.ad_c_a_b
6.2.ah_w_abj_k_db_agw $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8} )$ $5$ 1.2.ac $\times$ 1.2.ab $\times$ 4.2.ae_e_h_av
6.2.ah_x_aby_dm_afw_iy $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_ab
6.2.ah_x_abs_by_abc_i $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x^{2} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ac
6.2.ah_x_abm_m_dk_ahs $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{4}( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 4 $\times$ 2.2.b_ab
6.2.ah_y_acg_en_ahy_mc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 2.2.ac_c $\times$ 4.2.af_m_au_bd
6.2.ah_y_ace_ee_ahg_lc $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_a
6.2.ah_y_abz_cx_adi_ea $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x^{2} + 4 x^{4} )$ $4$ 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_ab
6.2.ah_y_abw_ce_abc_a $6$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x^{2} + 4 x^{4} )$ $1$ 1.2.ac 3 $\times$ 1.2.ab $\times$ 2.2.a_ac
6.2.ah_z_aco_fo_aka_pg $6$ $\F_{2}$ $( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ $2$ 2.2.ad_f $\times$ 2.2.ac_c 2
6.2.ah_z_acn_fj_ajq_os $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 2.2.ac_c $\times$ 4.2.af_n_az_bn
6.2.ah_z_ack_ew_aiq_ng $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 2 $\times$ 2.2.ac_c $\times$ 2.2.ab_b
6.2.ah_z_aci_ei_agy_ke $6$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 3 $\times$ 1.2.a $\times$ 2.2.ab_ab
6.2.ah_z_acg_dw_afo_hs $6$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $2$ 1.2.ac 3 $\times$ 1.2.c $\times$ 2.2.ad_f
6.2.ah_ba_acs_fw_akq_qi $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ $1$ 1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c 2
6.2.ah_ba_acq_fl_ajm_oi $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.af_m_au_bd
6.2.ah_ba_acq_fo_aka_pk $6$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ac 3 $\times$ 1.2.b $\times$ 2.2.ac_c
6.2.ah_ba_acn_ev_ahu_lk $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + x^{2} + 4 x^{4} )$ $4$ 1.2.ac 2 $\times$ 2.2.ad_f $\times$ 2.2.a_b
6.2.ah_bb_acy_go_ama_sm $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 1.2.a $\times$ 2.2.ad_f $\times$ 2.2.ac_c
6.2.ah_bb_acx_gj_alo_rs $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8} )$ $4$ 1.2.ac $\times$ 1.2.a $\times$ 4.2.af_n_az_bn
6.2.ah_bb_acx_gj_aln_rq $6$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ $5$ 1.2.ac $\times$ 1.2.b $\times$ 2.2.ad_f 2
Next   displayed columns for results