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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
5.3.ap_eb_ari_byf_adyv | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{5}$ | $0$ | 1.3.ad 5 |
5.3.ao_dp_aou_bpx_adhe | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{4}$ | $1$ | 1.3.ad 4 $\times$ 1.3.ac |
5.3.an_dc_alx_bgf_acmk | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ae_i |
5.3.an_dd_amg_bhp_acpn | $5$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{4}$ | $1$ | 1.3.ad 4 $\times$ 1.3.ab |
5.3.an_de_amp_biz_acsq | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )^{2}( 1 - 3 x + 3 x^{2} )^{3}$ | $2$ | 1.3.ad 3 $\times$ 1.3.ac 2 |
5.3.am_cq_ajj_xx_abut | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ad_f |
5.3.am_cr_ajs_zh_abxw | $5$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{4}$ | $0$ | 1.3.ad 4 $\times$ 1.3.a |
5.3.am_cs_akc_bax_acbo | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac $\times$ 2.3.ae_i |
5.3.am_cs_akb_bar_acaz | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ad_h |
5.3.am_ct_akk_bcb_acec | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{3}$ | $2$ | 1.3.ad 3 $\times$ 1.3.ac $\times$ 1.3.ab |
5.3.am_cu_aks_bdf_acgq | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 2 x + 3 x^{2} )^{3}$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac 3 |
5.3.al_cd_agm_of_azz | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ac_b |
5.3.al_ce_agv_pp_abdc | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ac_c |
5.3.al_cf_ahe_qz_abgf | $5$ | $\F_{3}$ | $( 1 + x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{4}$ | $1$ | 1.3.ad 4 $\times$ 1.3.b |
5.3.al_cg_aho_sp_abjx | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 45 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.af_n_az |
5.3.al_cg_ahn_sj_abji | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ac_e |
5.3.al_ch_aia_us_abow | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )^{2}$ | $4$ | 1.3.ad $\times$ 2.3.ae_i 2 |
5.3.al_ch_ahx_tz_abna | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac $\times$ 2.3.ad_f |
5.3.al_ch_ahw_tt_abml | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ac_f |
5.3.al_ci_aih_vp_abqs | $5$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ab $\times$ 2.3.ae_i |
5.3.al_ci_aig_vj_abqd | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 5 x + 15 x^{2} - 31 x^{3} + 45 x^{4} - 45 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.af_p_abf |
5.3.al_ci_aif_vd_abpo | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{3}$ | $1$ | 1.3.ad 3 $\times$ 1.3.ac $\times$ 1.3.a |
5.3.al_cj_aio_wm_abso | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $4$ | 1.3.ad $\times$ 1.3.ac 2 $\times$ 2.3.ae_i |
5.3.al_cj_aio_wn_absr | $5$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )^{2}( 1 - 3 x + 3 x^{2} )^{3}$ | $2$ | 1.3.ad 3 $\times$ 1.3.ab 2 |
5.3.al_cj_ain_wh_absc | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac $\times$ 2.3.ad_h |
5.3.al_ck_aiv_xl_abuq | $5$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 2 x + 3 x^{2} )^{2}$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac 2 $\times$ 1.3.ab |
5.3.al_cl_ajc_yk_abws | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{4}$ | $4$ | 1.3.ad $\times$ 1.3.ac 4 |
5.3.ak_br_ady_fx_aii | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ab_ac |
5.3.ak_bs_aeh_hh_all | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ab_ab |
5.3.ak_bt_aer_ix_apd | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 6 x^{2} - 7 x^{3} + 18 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_g_ah |
5.3.ak_bt_aeq_ir_aoo | $5$ | $\F_{3}$ | $( 1 + 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{4}$ | $1$ | 1.3.ad 4 $\times$ 1.3.c |
5.3.ak_bu_afa_kh_asg | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_h_ak |
5.3.ak_bu_aez_kb_arr | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x + x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ab_b |
5.3.ak_bv_afk_lx_avy | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac $\times$ 2.3.ac_b |
5.3.ak_bv_afj_lr_avj | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 13 x^{3} + 24 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_i_an |
5.3.ak_bv_afi_ll_auu | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ab_c |
5.3.ak_bw_aft_nh_azb | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_j_ar |
5.3.ak_bw_afs_nb_aym | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ac $\times$ 2.3.ac_c |
5.3.ak_bw_afr_mv_axx | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x + 3 x^{2} - 3 x^{3} + 9 x^{4} )$ | $1$ | 1.3.ad 3 $\times$ 2.3.ab_d |
5.3.ak_bx_agf_pk_abea | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ | $4$ | 1.3.ad $\times$ 2.3.ae_i $\times$ 2.3.ad_f |
5.3.ak_bx_agd_ox_abct | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 10 x^{2} - 21 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6} )$ | $2$ | 1.3.ad 2 $\times$ 3.3.ae_k_av |
5.3.ak_bx_agc_or_abce | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 10 x^{2} - 20 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_k_au |
5.3.ak_bx_agb_ol_abbp | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 10 x^{2} - 19 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_k_at |
5.3.ak_bx_aga_of_abba | $5$ | $\F_{3}$ | $( 1 - 2 x + 3 x^{2} )( 1 + x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{3}$ | $2$ | 1.3.ad 3 $\times$ 1.3.ac $\times$ 1.3.b |
5.3.ak_by_agm_qh_abfw | $5$ | $\F_{3}$ | $( 1 + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 2 $\times$ 1.3.a $\times$ 2.3.ae_i |
5.3.ak_by_agl_qb_abfh | $5$ | $\F_{3}$ | $( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ | $3$ | 1.3.ad 2 $\times$ 1.3.ab $\times$ 2.3.ad_f |
5.3.ak_by_agk_pu_abep | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 7 x + 26 x^{2} - 67 x^{3} + 131 x^{4} - 201 x^{5} + 234 x^{6} - 189 x^{7} + 81 x^{8} )$ | $4$ | 1.3.ad $\times$ 4.3.ah_ba_acp_fb |
5.3.ak_by_agk_pv_abes | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{2}( 1 - 4 x + 11 x^{2} - 22 x^{3} + 33 x^{4} - 36 x^{5} + 27 x^{6} )$ | $3$ | 1.3.ad 2 $\times$ 3.3.ae_l_aw |
5.3.ak_by_agj_po_abea | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 45 x^{5} + 27 x^{6} )$ | $4$ | 1.3.ad $\times$ 1.3.ac $\times$ 3.3.af_n_az |
5.3.ak_by_agj_pp_abed | $5$ | $\F_{3}$ | $( 1 - 3 x + 3 x^{2} )^{3}( 1 - x + 5 x^{2} - 3 x^{3} + 9 x^{4} )$ | $2$ | 1.3.ad 3 $\times$ 2.3.ab_f |