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LMFDB label dimension base field Weil polynomial $p$-rank isogeny factors
4.3.am_co_aii_rr 4 $\F_{3}$ $(1-3x+3x^{2})^{4}$ $ 0$ 1.3.ad 4
4.3.al_cf_agy_oo 4 $\F_{3}$ $(1-2x+3x^{2})(1-3x+3x^{2})^{3}$ $ 1$ 1.3.ad 3 $\times$ 1.3.ac
4.3.ak_bv_afi_kw 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-4x+8x^{2}-12x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ae_i
4.3.ak_bw_afo_ll 4 $\F_{3}$ $(1-x+3x^{2})(1-3x+3x^{2})^{3}$ $ 1$ 1.3.ad 3 $\times$ 1.3.ab
4.3.ak_bx_afu_ma 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-2x+3x^{2})^{2}$ $ 2$ 1.3.ad 2 $\times$ 1.3.ac 2
4.3.aj_bm_ady_ht 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-3x+5x^{2}-9x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ad_f
4.3.aj_bn_aee_ii 4 $\F_{3}$ $(1+3x^{2})(1-3x+3x^{2})^{3}$ $ 0$ 1.3.ad 3 $\times$ 1.3.a
4.3.aj_bo_ael_ja 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})(1-4x+8x^{2}-12x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ac $\times$ 2.3.ae_i
4.3.aj_bo_aek_ix 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-3x+7x^{2}-9x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ad_h
4.3.aj_bp_aeq_jm 4 $\F_{3}$ $(1-2x+3x^{2})(1-x+3x^{2})(1-3x+3x^{2})^{2}$ $ 2$ 1.3.ad 2 $\times$ 1.3.ac $\times$ 1.3.ab
4.3.aj_bq_aev_jy 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})^{3}$ $ 3$ 1.3.ad $\times$ 1.3.ac 3
4.3.ai_bc_aci_eb 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-2x+x^{2}-6x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ac_b
4.3.ai_bd_aco_eq 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-2x+2x^{2}-6x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ac_c
4.3.ai_be_acu_ff 4 $\F_{3}$ $(1+x+3x^{2})(1-3x+3x^{2})^{3}$ $ 1$ 1.3.ad 3 $\times$ 1.3.b
4.3.ai_bf_adb_fx 4 $\F_{3}$ $(1-3x+3x^{2})(1-5x+13x^{2}-25x^{3}+39x^{4}-45x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.af_n_az
4.3.ai_bf_ada_fu 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-2x+4x^{2}-6x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ac_e
4.3.ai_bg_adk_gw 4 $\F_{3}$ $(1-4x+8x^{2}-12x^{3}+9x^{4})^{2}$ $ 4$ 2.3.ae_i 2
4.3.ai_bg_adh_gm 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})(1-3x+5x^{2}-9x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ac $\times$ 2.3.ad_f
4.3.ai_bg_adg_gj 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-2x+5x^{2}-6x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ac_f
4.3.ai_bh_ado_he 4 $\F_{3}$ $(1-3x+3x^{2})(1-x+3x^{2})(1-4x+8x^{2}-12x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ab $\times$ 2.3.ae_i
4.3.ai_bh_adn_hb 4 $\F_{3}$ $(1-3x+3x^{2})(1-5x+15x^{2}-31x^{3}+45x^{4}-45x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.af_p_abf
4.3.ai_bh_adm_gy 4 $\F_{3}$ $(1-2x+3x^{2})(1+3x^{2})(1-3x+3x^{2})^{2}$ $ 1$ 1.3.ad 2 $\times$ 1.3.ac $\times$ 1.3.a
4.3.ai_bi_ads_hm 4 $\F_{3}$ $(1-2x+3x^{2})^{2}(1-4x+8x^{2}-12x^{3}+9x^{4})$ $ 4$ 1.3.ac 2 $\times$ 2.3.ae_i
4.3.ai_bi_ads_hn 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x+3x^{2})^{2}$ $ 2$ 1.3.ad 2 $\times$ 1.3.ab 2
4.3.ai_bi_adr_hk 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})(1-3x+7x^{2}-9x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ac $\times$ 2.3.ad_h
4.3.ai_bj_adw_hw 4 $\F_{3}$ $(1-3x+3x^{2})(1-x+3x^{2})(1-2x+3x^{2})^{2}$ $ 3$ 1.3.ad $\times$ 1.3.ac 2 $\times$ 1.3.ab
4.3.ai_bk_aea_ig 4 $\F_{3}$ $(1-2x+3x^{2})^{4}$ $ 4$ 1.3.ac 4
4.3.ah_t_ay_y 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x-2x^{2}-3x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ab_ac
4.3.ah_u_abe_bn 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x-x^{2}-3x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ab_ab
4.3.ah_v_abl_cf 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+6x^{2}-7x^{3}+18x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_g_ah
4.3.ah_v_abk_cc 4 $\F_{3}$ $(1+2x+3x^{2})(1-3x+3x^{2})^{3}$ $ 1$ 1.3.ad 3 $\times$ 1.3.c
4.3.ah_w_abr_cu 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+7x^{2}-10x^{3}+21x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_h_ak
4.3.ah_w_abq_cr 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x+x^{2}-3x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ab_b
4.3.ah_x_aby_dm 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})(1-2x+x^{2}-6x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ac $\times$ 2.3.ac_b
4.3.ah_x_abx_dj 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+8x^{2}-13x^{3}+24x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_i_an
4.3.ah_x_abw_dg 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x+2x^{2}-3x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ab_c
4.3.ah_y_ace_eb 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+9x^{2}-17x^{3}+27x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_j_ar
4.3.ah_y_acd_dy 4 $\F_{3}$ $(1-3x+3x^{2})(1-2x+3x^{2})(1-2x+2x^{2}-6x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ac $\times$ 2.3.ac_c
4.3.ah_y_acc_dv 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x+3x^{2}-3x^{3}+9x^{4})$ $ 1$ 1.3.ad 2 $\times$ 2.3.ab_d
4.3.ah_z_acn_fa 4 $\F_{3}$ $(1-4x+8x^{2}-12x^{3}+9x^{4})(1-3x+5x^{2}-9x^{3}+9x^{4})$ $ 4$ 2.3.ae_i $\times$ 2.3.ad_f
4.3.ah_z_acl_et 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+10x^{2}-21x^{3}+30x^{4}-36x^{5}+27x^{6})$ $ 2$ 1.3.ad $\times$ 3.3.ae_k_av
4.3.ah_z_ack_eq 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+10x^{2}-20x^{3}+30x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_k_au
4.3.ah_z_acj_en 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+10x^{2}-19x^{3}+30x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_k_at
4.3.ah_z_aci_ek 4 $\F_{3}$ $(1-2x+3x^{2})(1+x+3x^{2})(1-3x+3x^{2})^{2}$ $ 2$ 1.3.ad 2 $\times$ 1.3.ac $\times$ 1.3.b
4.3.ah_ba_acr_fi 4 $\F_{3}$ $(1-3x+3x^{2})(1+3x^{2})(1-4x+8x^{2}-12x^{3}+9x^{4})$ $ 2$ 1.3.ad $\times$ 1.3.a $\times$ 2.3.ae_i
4.3.ah_ba_acq_ff 4 $\F_{3}$ $(1-3x+3x^{2})(1-x+3x^{2})(1-3x+5x^{2}-9x^{3}+9x^{4})$ $ 3$ 1.3.ad $\times$ 1.3.ab $\times$ 2.3.ad_f
4.3.ah_ba_acp_fb 4 $\F_{3}$ $1-7x+26x^{2}-67x^{3}+131x^{4}-201x^{5}+234x^{6}-189x^{7}+81x^{8}$ $ 4$ simple
4.3.ah_ba_acp_fc 4 $\F_{3}$ $(1-3x+3x^{2})(1-4x+11x^{2}-22x^{3}+33x^{4}-36x^{5}+27x^{6})$ $ 3$ 1.3.ad $\times$ 3.3.ae_l_aw
4.3.ah_ba_aco_ey 4 $\F_{3}$ $(1-2x+3x^{2})(1-5x+13x^{2}-25x^{3}+39x^{4}-45x^{5}+27x^{6})$ $ 4$ 1.3.ac $\times$ 3.3.af_n_az
4.3.ah_ba_aco_ez 4 $\F_{3}$ $(1-3x+3x^{2})^{2}(1-x+5x^{2}-3x^{3}+9x^{4})$ $ 2$ 1.3.ad 2 $\times$ 2.3.ab_f

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