# Stored data for abelian variety isogeny class 4.5.am_ct_aki_bbg, downloaded from the LMFDB on 16 April 2026.
{"abvar_count": 60, "abvar_counts": [60, 378000, 300061440, 164505600000, 98719892274300, 61339279712256000, 37810356625693780860, 23357411582290329600000, 14547811432321238032362240, 9094947685034230503272250000], "abvar_counts_str": "60 378000 300061440 164505600000 98719892274300 61339279712256000 37810356625693780860 23357411582290329600000 14547811432321238032362240 9094947685034230503272250000 ", "angle_corank": 1, "angle_rank": 3, "angles": [0.147583617650433, 0.147583617650433, 0.26594214021463, 0.428216853435647], "center_dim": 6, "curve_count": -6, "curve_counts": [-6, 24, 150, 672, 3234, 16074, 79290, 391872, 1952574, 9765624], "curve_counts_str": "-6 24 150 672 3234 16074 79290 391872 1952574 9765624 ", "curves": [], "dim1_distinct": 3, "dim1_factors": 4, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 4, "galois_groups": ["2T1", "2T1", "2T1"], "geom_dim1_distinct": 3, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1", "2T1"], "geometric_number_fields": ["2.0.4.1", "2.0.11.1", "2.0.19.1"], "geometric_splitting_field": "8.0.488455618816.6", "geometric_splitting_polynomials": [[3140, 548, -426, -238, 105, 14, 0, -4, 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.am_ct_aki_bbg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 6, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1", "2.0.11.1", "2.0.19.1"], "p": 5, "p_rank": 4, "p_rank_deficit": 0, "poly": [1, -12, 71, -268, 708, -1340, 1775, -1500, 625], "poly_str": "1 -12 71 -268 708 -1340 1775 -1500 625 ", "primitive_models": [], "q": 5, "real_poly": [1, -12, 51, -88, 48], "simple_distinct": ["1.5.ae", "1.5.ad", "1.5.ab"], "simple_factors": ["1.5.aeA", "1.5.aeB", "1.5.adA", "1.5.abA"], "simple_multiplicities": [2, 1, 1], "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "splitting_field": "8.0.488455618816.6", "splitting_polynomials": [[3140, 548, -426, -238, 105, 14, 0, -4, 1]], "twist_count": 64, "twists": [["4.5.ak_bx_agc_pc", "4.25.ac_z_dy_mm", 2], ["4.5.ag_r_abi_cu", "4.25.ac_z_dy_mm", 2], ["4.5.ae_h_au_cq", "4.25.ac_z_dy_mm", 2], ["4.5.ae_h_e_abc", "4.25.ac_z_dy_mm", 2], ["4.5.ac_b_c_i", "4.25.ac_z_dy_mm", 2], ["4.5.c_b_ac_i", "4.25.ac_z_dy_mm", 2], ["4.5.e_h_ae_abc", "4.25.ac_z_dy_mm", 2], ["4.5.e_h_u_cq", "4.25.ac_z_dy_mm", 2], ["4.5.g_r_bi_cu", "4.25.ac_z_dy_mm", 2], ["4.5.k_bx_gc_pc", "4.25.ac_z_dy_mm", 2], ["4.5.m_ct_ki_bbg", "4.25.ac_z_dy_mm", 2], ["4.5.a_i_i_bh", "4.125.y_ts_lci_ftcg", 3], ["4.5.ak_cd_ahs_ue", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ai_bl_aeo_lk", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ai_br_afs_pc", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ag_x_acm_ga", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ag_bd_adi_iu", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ae_n_abm_ea", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ae_n_aba_ce", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ae_t_abs_ey", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ac_h_aq_bs", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ac_h_i_ae", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ac_n_aw_do", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ac_n_ak_cq", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.a_f_ak_y", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.a_f_k_y", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.a_l_ae_cu", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.a_l_e_cu", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.c_h_ai_ae", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.c_h_q_bs", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.c_n_k_cq", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.c_n_w_do", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.e_n_ba_ce", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.e_n_bm_ea", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.e_t_bs_ey", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.g_x_cm_ga", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.g_bd_di_iu", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.i_bl_eo_lk", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.i_br_fs_pc", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.k_cd_hs_ue", "4.625.bu_cmr_crxe_cgegi", 4], ["4.5.ai_bo_afg_np", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.ag_ba_adc_hz", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.ac_k_aq_bv", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.a_i_ai_bh", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.c_k_q_bv", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.g_ba_dc_hz", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.i_bo_fg_np", "4.15625.rg_fxse_bnmcqi_iftvfzq", 6], ["4.5.ae_f_m_acc", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.ae_v_aca_fy", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.ac_ab_g_ag", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.ac_p_aba_ec", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.c_ab_ag_ag", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.c_p_ba_ec", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.e_f_am_acc", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.e_v_ca_fy", "4.390625.bvy_bdurp_aqsssja_abhbszcqxg", 8], ["4.5.ag_u_aca_en", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.ae_k_abg_df", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.ac_e_u_abr", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.a_c_aq_d", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.a_c_q_d", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.c_e_au_abr", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.e_k_bg_df", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12], ["4.5.g_u_ca_en", "4.244140625.kmy_axygilw_dqvunzwom_bnqjbbxrmmayw", 12]]}