# Stored data for abelian variety isogeny class 3.4.af_f_e, downloaded from the LMFDB on 02 May 2024.
{"label": "3.4.af_f_e", "g": 3, "p": 2, "q": 4, "poly": [1, -5, 5, 4, 20, -80, 64], "poly_str": "1 -5 5 4 20 -80 64 ", "slopes": ["0A", "0B", "1/2A", "1/2B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 1, "angles": [0.0, 0.0, 0.0862360434115004, 0.752902710078167], "angle_rank": 1, "number_fields": ["1.1.1.1", "4.0.225.1"], "galois_groups": ["1T1", "4T2"], "center_dim": 5, "abvar_counts": [9, 1539, 142884, 15736275, 950187789, 66849136704, 4396680061461, 278328896453475, 18051316005094596, 1152508529819247579], "abvar_counts_str": "9 1539 142884 15736275 950187789 66849136704 4396680061461 278328896453475 18051316005094596 1152508529819247579 ", "abvar_count": 9, "curve_counts": [0, 2, 27, 242, 900, 3983, 16380, 64802, 262683, 1048202], "curve_counts_str": "0 2 27 242 900 3983 16380 64802 262683 1048202 ", "curve_count": 0, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 3, "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": [["3.4.ad_ad_u", "3.16.ap_eb_asu", 2], ["3.4.d_ad_au", "3.16.ap_eb_asu", 2], ["3.4.f_f_ae", "3.16.ap_eb_asu", 2], ["3.4.ac_f_au", "3.64.abm_zp_akbo", 3], ["3.4.b_ab_ao", "3.64.abm_zp_akbo", 3], ["3.4.e_r_bi", "3.64.abm_zp_akbo", 3], ["3.4.ab_b_ai", "3.256.ap_ajv_lie", 4], ["3.4.b_b_i", "3.256.ap_ajv_lie", 4], ["3.4.ag_v_aca", "3.4096.aek_ppp_acbmua", 6], ["3.4.ae_l_abc", "3.4096.aek_ppp_acbmua", 6], ["3.4.ae_r_abi", "3.4096.aek_ppp_acbmua", 6], ["3.4.ad_d_ac", "3.4096.aek_ppp_acbmua", 6], ["3.4.ac_l_ao", "3.4096.aek_ppp_acbmua", 6], ["3.4.ab_ab_o", "3.4096.aek_ppp_acbmua", 6], ["3.4.a_j_ac", "3.4096.aek_ppp_acbmua", 6], ["3.4.a_j_c", "3.4096.aek_ppp_acbmua", 6], ["3.4.c_f_u", "3.4096.aek_ppp_acbmua", 6], ["3.4.c_l_o", "3.4096.aek_ppp_acbmua", 6], ["3.4.d_d_c", "3.4096.aek_ppp_acbmua", 6], ["3.4.e_l_bc", "3.4096.aek_ppp_acbmua", 6], ["3.4.g_v_ca", "3.4096.aek_ppp_acbmua", 6], ["3.4.ae_ad_bc", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.ac_ad_o", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.ac_n_aq", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.a_ad_a", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.a_l_a", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.c_ad_ao", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.c_n_q", "3.16777216.lzi_abkskvf_abhvgcecyi", 12], ["3.4.e_ad_abc", "3.16777216.lzi_abkskvf_abhvgcecyi", 12]], "twist_count": 30, "max_twist_degree": 12, "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.4.ae", "2.4.ab_ad"], "simple_multiplicities": [1, 1], "simple_factors": ["1.4.aeA", "2.4.ab_adA"], "dim1_factors": 1, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 3, "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, -7, 44], "curves": [], "geometric_splitting_field": "2.0.15.1", "splitting_field": "4.0.225.1", "geometric_splitting_polynomials": [[4, -1, 1]], "splitting_polynomials": [[1, 1, 2, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": false}