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LMFDB label dimension base field Weil polynomial $p$-rank isogeny factors
4.5.aq_em_atc_cao 4 $\F_{5}$ $(1-4x+5x^{2})^{4}$ $ 4$ 1.5.ae 4
4.5.ap_ea_aqr_btm 4 $\F_{5}$ $(1-3x+5x^{2})(1-4x+5x^{2})^{3}$ $ 4$ 1.5.ae 3 $\times$ 1.5.ad
4.5.ao_dn_any_blk 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-6x+17x^{2}-30x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ag_r
4.5.ao_do_aog_bmk 4 $\F_{5}$ $(1-2x+5x^{2})(1-4x+5x^{2})^{3}$ $ 4$ 1.5.ae 3 $\times$ 1.5.ac
4.5.ao_dp_aoo_bnk 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+5x^{2})^{2}$ $ 4$ 1.5.ae 2 $\times$ 1.5.ad 2
4.5.an_db_aln_bei 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-5x+13x^{2}-25x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.af_n
4.5.an_dc_alv_bfi 4 $\F_{5}$ $(1-x+5x^{2})(1-4x+5x^{2})^{3}$ $ 4$ 1.5.ae 3 $\times$ 1.5.ab
4.5.an_dd_ame_bgm 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})(1-6x+17x^{2}-30x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ad $\times$ 2.5.ag_r
4.5.an_dd_amd_bgi 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-5x+15x^{2}-25x^{3}+25x^{4})$ $ 2$ 1.5.ae 2 $\times$ 2.5.af_p
4.5.an_de_aml_bhi 4 $\F_{5}$ $(1-3x+5x^{2})(1-2x+5x^{2})(1-4x+5x^{2})^{2}$ $ 4$ 1.5.ae 2 $\times$ 1.5.ad $\times$ 1.5.ac
4.5.an_df_ams_bie 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})^{3}$ $ 4$ 1.5.ae $\times$ 1.5.ad 3
4.5.am_co_aiu_wg 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-4x+8x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ae_i
4.5.am_cp_ajc_xg 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-4x+9x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ae_j
4.5.am_cq_ajk_yg 4 $\F_{5}$ $(1+5x^{2})(1-4x+5x^{2})^{3}$ $ 3$ 1.5.ae 3 $\times$ 1.5.a
4.5.am_cr_ajt_zk 4 $\F_{5}$ $(1-4x+5x^{2})(1-8x+32x^{2}-85x^{3}+160x^{4}-200x^{5}+125x^{6})$ $ 3$ 1.5.ae $\times$ 3.5.ai_bg_adh
4.5.am_cr_ajs_zg 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-4x+11x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ae_l
4.5.am_cs_ake_bax 4 $\F_{5}$ $(1-6x+17x^{2}-30x^{3}+25x^{4})^{2}$ $ 4$ 2.5.ag_r 2
4.5.am_cs_akb_bak 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})(1-5x+13x^{2}-25x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ad $\times$ 2.5.af_n
4.5.am_cs_aka_bag 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-4x+12x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ae_m
4.5.am_ct_akk_bbo 4 $\F_{5}$ $(1-4x+5x^{2})(1-2x+5x^{2})(1-6x+17x^{2}-30x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ac $\times$ 2.5.ag_r
4.5.am_ct_akj_bbk 4 $\F_{5}$ $(1-4x+5x^{2})(1-8x+34x^{2}-93x^{3}+170x^{4}-200x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ai_bi_adp
4.5.am_ct_aki_bbg 4 $\F_{5}$ $(1-3x+5x^{2})(1-x+5x^{2})(1-4x+5x^{2})^{2}$ $ 4$ 1.5.ae 2 $\times$ 1.5.ad $\times$ 1.5.ab
4.5.am_cu_akq_bcf 4 $\F_{5}$ $(1-3x+5x^{2})^{2}(1-6x+17x^{2}-30x^{3}+25x^{4})$ $ 4$ 1.5.ad 2 $\times$ 2.5.ag_r
4.5.am_cu_akq_bcg 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-2x+5x^{2})^{2}$ $ 4$ 1.5.ae 2 $\times$ 1.5.ac 2
4.5.am_cu_akp_bcc 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})(1-5x+15x^{2}-25x^{3}+25x^{4})$ $ 2$ 1.5.ae $\times$ 1.5.ad $\times$ 2.5.af_p
4.5.am_cv_akw_bcy 4 $\F_{5}$ $(1-4x+5x^{2})(1-2x+5x^{2})(1-3x+5x^{2})^{2}$ $ 4$ 1.5.ae $\times$ 1.5.ad 2 $\times$ 1.5.ac
4.5.am_cw_alc_bdr 4 $\F_{5}$ $(1-3x+5x^{2})^{4}$ $ 4$ 1.5.ad 4
4.5.al_cc_agj_pe 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+4x^{2}-15x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ad_e
4.5.al_cd_agr_qe 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+5x^{2}-15x^{3}+25x^{4})$ $ 3$ 1.5.ae 2 $\times$ 2.5.ad_f
4.5.al_ce_aha_ri 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+23x^{2}-55x^{3}+115x^{4}-175x^{5}+125x^{6})$ $ 3$ 1.5.ae $\times$ 3.5.ah_x_acd
4.5.al_ce_agz_re 4 $\F_{5}$ $(1+x+5x^{2})(1-4x+5x^{2})^{3}$ $ 4$ 1.5.ae 3 $\times$ 1.5.b
4.5.al_cf_ahi_si 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+24x^{2}-59x^{3}+120x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_y_ach
4.5.al_cf_ahh_se 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+7x^{2}-15x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ad_h
4.5.al_cg_ahr_tm 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})(1-4x+8x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ad $\times$ 2.5.ae_i
4.5.al_cg_ahq_ti 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+25x^{2}-63x^{3}+125x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_z_acl
4.5.al_cg_ahp_te 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+8x^{2}-15x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ad_i
4.5.al_ch_ahz_um 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+26x^{2}-68x^{3}+130x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_ba_acq
4.5.al_ch_ahy_ui 4 $\F_{5}$ $(1-4x+5x^{2})(1-3x+5x^{2})(1-4x+9x^{2}-20x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ad $\times$ 2.5.ae_j
4.5.al_ch_ahx_ue 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+9x^{2}-15x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ad_j
4.5.al_ci_aik_vz 4 $\F_{5}$ $(1-6x+17x^{2}-30x^{3}+25x^{4})(1-5x+13x^{2}-25x^{3}+25x^{4})$ $ 4$ 2.5.ag_r $\times$ 2.5.af_n
4.5.al_ci_aii_vq 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+27x^{2}-73x^{3}+135x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_bb_acv
4.5.al_ci_aih_vm 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+27x^{2}-72x^{3}+135x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_bb_acu
4.5.al_ci_aig_vi 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+27x^{2}-71x^{3}+135x^{4}-175x^{5}+125x^{6})$ $ 4$ 1.5.ae $\times$ 3.5.ah_bb_act
4.5.al_ci_aif_ve 4 $\F_{5}$ $(1-3x+5x^{2})(1+5x^{2})(1-4x+5x^{2})^{2}$ $ 3$ 1.5.ae 2 $\times$ 1.5.ad $\times$ 1.5.a
4.5.al_cj_aiq_wq 4 $\F_{5}$ $(1-4x+5x^{2})(1-x+5x^{2})(1-6x+17x^{2}-30x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ab $\times$ 2.5.ag_r
4.5.al_cj_aip_wm 4 $\F_{5}$ $(1-4x+5x^{2})(1-2x+5x^{2})(1-5x+13x^{2}-25x^{3}+25x^{4})$ $ 4$ 1.5.ae $\times$ 1.5.ac $\times$ 2.5.af_n
4.5.al_cj_aio_wh 4 $\F_{5}$ $1-11x+61x^{2}-222x^{3}+579x^{4}-1110x^{5}+1525x^{6}-1375x^{7}+625x^{8}$ $ 4$ simple
4.5.al_cj_aio_wi 4 $\F_{5}$ $(1-4x+5x^{2})(1-7x+28x^{2}-75x^{3}+140x^{4}-175x^{5}+125x^{6})$ $ 3$ 1.5.ae $\times$ 3.5.ah_bc_acx
4.5.al_cj_ain_wd 4 $\F_{5}$ $(1-3x+5x^{2})(1-8x+32x^{2}-85x^{3}+160x^{4}-200x^{5}+125x^{6})$ $ 3$ 1.5.ad $\times$ 3.5.ai_bg_adh
4.5.al_cj_ain_we 4 $\F_{5}$ $(1-4x+5x^{2})^{2}(1-3x+11x^{2}-15x^{3}+25x^{4})$ $ 4$ 1.5.ae 2 $\times$ 2.5.ad_l

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