# Stored data for abelian variety isogeny class 4.5.al_cc_agj_pe, downloaded from the LMFDB on 16 April 2026.
{"abvar_count": 48, "abvar_counts": [48, 230400, 173606976, 148163788800, 101953185785328, 60838550898278400, 37541881767426974832, 23478119514722480947200, 14587053626073722920017984, 9093036552015063765432960000], "abvar_counts_str": "48 230400 173606976 148163788800 101953185785328 60838550898278400 37541881767426974832 23478119514722480947200 14587053626073722920017984 9093036552015063765432960000 ", "angle_corank": 2, "angle_rank": 2, "angles": [0.0673911931187034, 0.147583617650433, 0.147583617650433, 0.599275473547963], "center_dim": 6, "curve_count": -5, "curve_counts": [-5, 13, 82, 605, 3335, 15946, 78731, 393885, 1957834, 9763573], "curve_counts_str": "-5 13 82 605 3335 15946 78731 393885 1957834 9763573 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 4, "galois_groups": ["2T1", "4T2"], "geom_dim1_distinct": 2, "geom_dim1_factors": 4, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.4.1"], "geometric_splitting_field": "4.0.1936.1", "geometric_splitting_polynomials": [[9, 0, -5, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "label": "4.5.al_cc_agj_pe", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 6, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1", "4.0.1089.1"], "p": 5, "p_rank": 4, "p_rank_deficit": 0, "poly": [1, -11, 54, -165, 394, -825, 1350, -1375, 625], "poly_str": "1 -11 54 -165 394 -825 1350 -1375 625 ", "primitive_models": [], "q": 5, "real_poly": [1, -11, 34, 0, -96], "simple_distinct": ["1.5.ae", "2.5.ad_e"], "simple_factors": ["1.5.aeA", "1.5.aeB", "2.5.ad_eA"], "simple_multiplicities": [2, 1], "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_field": "8.0.303595776.1", "splitting_polynomials": [[81, 0, 45, 0, 16, 0, 5, 0, 1]], "twist_count": 96, "twists": [["4.5.af_g_v_adi", "4.25.an_cw_aet_aig", 2], ["4.5.ad_ac_d_ba", "4.25.an_cw_aet_aig", 2], ["4.5.d_ac_ad_ba", "4.25.an_cw_aet_aig", 2], ["4.5.f_g_av_adi", "4.25.an_cw_aet_aig", 2], ["4.5.l_cc_gj_pe", "4.25.an_cw_aet_aig", 2], ["4.5.ac_ad_ag_cm", "4.125.abs_brk_abdcm_oopq", 3], ["4.5.b_d_am_aba", "4.125.abs_brk_abdcm_oopq", 3], ["4.5.k_cc_hk_tf", "4.125.abs_brk_abdcm_oopq", 3], ["4.5.aj_bo_aet_lq", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ah_be_adp_is", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.af_m_abn_eo", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ad_e_p_acg", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ad_k_abh_cw", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ab_a_ad_ac", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ab_g_v_ao", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.b_a_d_ac", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.b_g_av_ao", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.d_e_ap_acg", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.d_k_bh_cw", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.f_m_bn_eo", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.h_be_dp_is", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.j_bo_et_lq", "4.625.av_cte_abyrj_dozrm", 4], ["4.5.ao_dp_aoo_bnk", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ak_cc_ahk_tf", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ai_bb_abw_cy", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ah_bb_adg_ig", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ag_n_g_acm", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ae_m_ay_cj", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ac_g_a_t", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ab_d_m_aba", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.a_af_a_bs", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.c_ad_g_cm", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.c_g_a_t", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.e_m_y_cj", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.g_n_ag_acm", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.h_bb_dg_ig", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.i_bb_bw_cy", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.o_dp_oo_bnk", "4.15625.mi_dbcm_uselc_euualba", 6], ["4.5.ad_ae_j_s", "4.390625.evj_lmwfa_roeyxij_tacbcgsas", 8], ["4.5.ad_m_abn_de", "4.390625.evj_lmwfa_roeyxij_tacbcgsas", 8], ["4.5.d_ae_aj_s", "4.390625.evj_lmwfa_roeyxij_tacbcgsas", 8], ["4.5.d_m_bn_de", "4.390625.evj_lmwfa_roeyxij_tacbcgsas", 8], ["4.5.am_cv_akw_bcy", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ak_cf_aic_vk", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ai_z_abg_y", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ai_be_acu_fv", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ai_bh_adm_ia", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ag_r_ay_bg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ag_t_abk_cq", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ag_z_aco_gi", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.af_j_abe_ec", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ae_g_y_adl", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ae_j_g_abg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ae_k_aq_bn", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ae_n_aq_bk", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ae_p_ay_cm", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ac_ac_ai_bz", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ac_a_am_bx", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ac_b_ai_bw", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ac_d_am_ca", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ac_j_as_cy", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ab_ad_g_ao", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.a_ah_a_ce", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.a_b_ag_bg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.a_b_g_bg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.a_f_a_bs", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.a_h_a_ce", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.b_ad_ag_ao", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.c_ac_i_bz", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.c_a_m_bx", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.c_b_i_bw", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.c_d_m_ca", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.c_j_s_cy", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.e_g_ay_adl", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.e_j_ag_abg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.e_k_q_bn", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.e_n_q_bk", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.e_p_y_cm", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.f_j_be_ec", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.g_r_y_bg", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.g_t_bk_cq", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.g_z_co_gi", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.i_z_bg_y", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.i_be_cu_fv", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.i_bh_dm_ia", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.k_cf_ic_vk", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.m_cv_kw_bcy", "4.244140625.gsm_atjgyns_ctmqhclwa_bkydypuagomwk", 12], ["4.5.ag_l_s_ady", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.ag_bb_ada_hu", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.a_aj_a_cg", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.a_ah_a_bq", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.a_h_a_bq", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.a_j_a_cg", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.g_l_as_ady", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24], ["4.5.g_bb_da_hu", "4.59604644775390625.abolonwy_diwbzyybaeaxg_adcpaoztkkgssjzdbltg_dkovmnptdgylaupwzuhpvwmvu", 24]]}