# Stored data for abelian variety isogeny class 4.2.af_n_aba_bq, downloaded from the LMFDB on 03 May 2024.
{"label": "4.2.af_n_aba_bq", "g": 4, "p": 2, "q": 2, "poly": [1, -5, 13, -26, 42, -52, 52, -40, 16], "poly_str": "1 -5 13 -26 42 -52 52 -40 16 ", "slopes": ["0A", "0B", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 2, "angles": [0.0833333333333333, 0.123548644960916, 0.45688197829425, 0.583333333333333], "angle_rank": 1, "number_fields": ["4.0.225.1", "4.0.144.1"], "galois_groups": ["4T2", "4T2"], "center_dim": 8, "abvar_counts": [1, 247, 1900, 28899, 1269481, 24403600, 318614899, 5212483731, 77631642100, 1166763483847], "abvar_counts_str": "1 247 1900 28899 1269481 24403600 318614899 5212483731 77631642100 1166763483847 ", "abvar_count": 1, "curve_counts": [-2, 6, 1, 2, 38, 87, 152, 306, 577, 1086], "curve_counts_str": "-2 6 1 2 38 87 152 306 577 1086 ", "curve_count": -2, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 12, "geometric_center_dim": 3, "geometric_number_fields": ["1.1.1.1", "2.0.15.1"], "geometric_galois_groups": ["1T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["4.2.ab_b_c_ag", "4.4.b_ah_a_bs", 2], ["4.2.b_b_ac_ag", "4.4.b_ah_a_bs", 2], ["4.2.f_n_ba_bq", "4.4.b_ah_a_bs", 2], ["4.2.ac_b_ac_g", "4.8.ai_br_afw_sm", 3], ["4.2.b_b_ac_a", "4.8.ai_br_afw_sm", 3], ["4.2.e_h_e_a", "4.8.ai_br_afw_sm", 3], ["4.2.h_z_cg_ds", "4.8.ai_br_afw_sm", 3], ["4.2.f_n_ba_bq", "4.16.ap_fh_abgi_fto", 4], ["4.2.ah_z_acg_ds", "4.64.w_on_ggm_chgy", 6], ["4.2.ae_h_ae_a", "4.64.w_on_ggm_chgy", 6], ["4.2.ad_f_ag_i", "4.64.w_on_ggm_chgy", 6], ["4.2.ab_b_c_a", "4.64.w_on_ggm_chgy", 6], ["4.2.a_ab_a_i", "4.64.w_on_ggm_chgy", 6], ["4.2.c_b_c_g", "4.64.w_on_ggm_chgy", 6], ["4.2.d_f_g_i", "4.64.w_on_ggm_chgy", 6], ["4.2.f_n_ba_bq", "4.64.w_on_ggm_chgy", 6], ["4.2.ad_d_a_ac", "4.256.bx_bzt_bnlg_ytkq", 8], ["4.2.ad_h_am_s", "4.256.bx_bzt_bnlg_ytkq", 8], ["4.2.d_d_a_ac", "4.256.bx_bzt_bnlg_ytkq", 8], ["4.2.d_h_m_s", "4.256.bx_bzt_bnlg_ytkq", 8], ["4.2.ae_j_am_q", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.ac_d_ag_k", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.a_b_a_i", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.c_d_g_k", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.e_j_m_q", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.f_n_ba_bq", "4.4096.kk_cbwb_hunuu_wiwsro", 12], ["4.2.af_p_abg_ca", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.ad_b_g_am", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.ad_j_as_bc", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.ac_d_ac_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.ac_f_ag_m", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.ab_d_ae_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_af_a_m", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_ad_a_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_ad_a_k", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_ab_a_g", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_b_a_g", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_d_a_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_d_a_k", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.a_f_a_m", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.b_d_e_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.c_d_c_e", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.c_f_g_m", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.d_b_ag_am", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.d_j_s_bc", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24], ["4.2.f_p_bg_ca", "4.16777216.adu_afpckih_ffbvzrk_ludmiewvang", 24]], "twist_count": 44, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["2.2.ad_f", "2.2.ac_c"], "simple_multiplicities": [1, 1], "simple_factors": ["2.2.ad_fA", "2.2.ac_cA"], "dim1_factors": 0, "dim2_factors": 2, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 2, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 4, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 2, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1, -5, 5, 4, -2], "jacobian_count": 0, "curves": [], "hyp_count": 0, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 36, "geometric_splitting_field": "2.0.15.1", "splitting_field": "8.0.12960000.1", "geometric_splitting_polynomials": [[4, -1, 1]], "splitting_polynomials": [[1, 0, -3, 0, 8, 0, -3, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 2, "principal_polarization_count": 0, "pic_prime_gens": []}