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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.13.av_he_abif | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )^{3}$ | $3$ | 1.13.ah 3 |
3.13.au_gq_abfi | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.ag |
3.13.at_gc_abcl | $3$ | $\F_{13}$ | $( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.af |
3.13.at_gd_abcs | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah $\times$ 1.13.ag 2 |
3.13.as_fo_azo | $3$ | $\F_{13}$ | $( 1 - 4 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.ae |
3.13.as_fp_azv | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 11 x + 55 x^{2} - 143 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.al_cd |
3.13.as_fq_abac | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.ag $\times$ 1.13.af |
3.13.as_fr_abai | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )^{3}$ | $3$ | 1.13.ag 3 |
3.13.ar_fa_awr | $3$ | $\F_{13}$ | $( 1 - 3 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.ad |
3.13.ar_fb_awy | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 10 x + 48 x^{2} - 130 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ak_bw |
3.13.ar_fc_axf | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 10 x + 49 x^{2} - 130 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ak_bx |
3.13.ar_fd_axm | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.ag $\times$ 1.13.ae |
3.13.ar_fe_axt | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah $\times$ 1.13.af 2 |
3.13.ar_fe_axs | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 11 x + 55 x^{2} - 143 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ag $\times$ 2.13.al_cd |
3.13.ar_ff_axy | $3$ | $\F_{13}$ | $( 1 - 5 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ag 2 $\times$ 1.13.af |
3.13.aq_el_atn | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 9 x + 39 x^{2} - 117 x^{3} + 169 x^{4} )$ | $2$ | 1.13.ah $\times$ 2.13.aj_bn |
3.13.aq_em_atu | $3$ | $\F_{13}$ | $( 1 - 2 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.ac |
3.13.aq_en_aub | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 9 x + 41 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.aj_bp |
3.13.aq_eo_aui | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 9 x + 42 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.aj_bq |
3.13.aq_ep_aup | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 9 x + 43 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.aj_br |
3.13.aq_eq_aux | $3$ | $\F_{13}$ | $1 - 16 x + 120 x^{2} - 543 x^{3} + 1560 x^{4} - 2704 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.aq_eq_auw | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.ag $\times$ 1.13.ad |
3.13.aq_er_ave | $3$ | $\F_{13}$ | $1 - 16 x + 121 x^{2} - 550 x^{3} + 1573 x^{4} - 2704 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.aq_er_avd | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 9 x + 45 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.aj_bt |
3.13.aq_er_avc | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 10 x + 48 x^{2} - 130 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ag $\times$ 2.13.ak_bw |
3.13.aq_es_avk | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.af $\times$ 1.13.ae |
3.13.aq_es_avj | $3$ | $\F_{13}$ | $1 - 16 x + 122 x^{2} - 555 x^{3} + 1586 x^{4} - 2704 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.aq_es_avi | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 10 x + 49 x^{2} - 130 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ag $\times$ 2.13.ak_bx |
3.13.aq_et_avp | $3$ | $\F_{13}$ | $( 1 - 5 x + 13 x^{2} )( 1 - 11 x + 55 x^{2} - 143 x^{3} + 169 x^{4} )$ | $3$ | 1.13.af $\times$ 2.13.al_cd |
3.13.aq_et_avo | $3$ | $\F_{13}$ | $( 1 - 4 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ag 2 $\times$ 1.13.ae |
3.13.aq_eu_avu | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ag $\times$ 1.13.af 2 |
3.13.ap_dx_aqq | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 32 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bg |
3.13.ap_dy_aqx | $3$ | $\F_{13}$ | $( 1 - x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ | $3$ | 1.13.ah 2 $\times$ 1.13.ab |
3.13.ap_dz_are | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 34 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bi |
3.13.ap_ea_arl | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 35 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bj |
3.13.ap_eb_ars | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 36 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bk |
3.13.ap_ec_asa | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 9 x + 39 x^{2} - 117 x^{3} + 169 x^{4} )$ | $2$ | 1.13.ag $\times$ 2.13.aj_bn |
3.13.ap_ec_arz | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 37 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bl |
3.13.ap_ed_ash | $3$ | $\F_{13}$ | $1 - 15 x + 107 x^{2} - 475 x^{3} + 1391 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_ed_asg | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.ag $\times$ 1.13.ac |
3.13.ap_ed_asf | $3$ | $\F_{13}$ | $1 - 15 x + 107 x^{2} - 473 x^{3} + 1391 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_ee_aso | $3$ | $\F_{13}$ | $1 - 15 x + 108 x^{2} - 482 x^{3} + 1404 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_ee_asn | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 39 x^{2} - 104 x^{3} + 169 x^{4} )$ | $2$ | 1.13.ah $\times$ 2.13.ai_bn |
3.13.ap_ee_asm | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 9 x + 41 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ag $\times$ 2.13.aj_bp |
3.13.ap_ef_asv | $3$ | $\F_{13}$ | $1 - 15 x + 109 x^{2} - 489 x^{3} + 1417 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_ef_asu | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 8 x + 40 x^{2} - 104 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ah $\times$ 2.13.ai_bo |
3.13.ap_ef_ast | $3$ | $\F_{13}$ | $1 - 15 x + 109 x^{2} - 487 x^{3} + 1417 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_ef_ass | $3$ | $\F_{13}$ | $( 1 - 6 x + 13 x^{2} )( 1 - 9 x + 42 x^{2} - 117 x^{3} + 169 x^{4} )$ | $3$ | 1.13.ag $\times$ 2.13.aj_bq |
3.13.ap_eg_atc | $3$ | $\F_{13}$ | $1 - 15 x + 110 x^{2} - 496 x^{3} + 1430 x^{4} - 2535 x^{5} + 2197 x^{6}$ | $3$ | simple |
3.13.ap_eg_atb | $3$ | $\F_{13}$ | $( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$ | $3$ | 1.13.ah $\times$ 1.13.af $\times$ 1.13.ad |