# Stored data for abelian variety isogeny class 6.2.b_c_b_f_ab_a, downloaded from the LMFDB on 19 January 2026.
{"abvar_count": 163, "abvar_counts": [163, 13855, 177181, 50778575, 520439603, 50889040915, 6430605536567, 405742395144375, 18606948071910559, 1220971436639646025], "abvar_counts_str": "163 13855 177181 50778575 520439603 50889040915 6430605536567 405742395144375 18606948071910559 1220971436639646025 ", "angle_corank": 0, "angle_rank": 6, "angles": [0.122288410051245, 0.352712914252087, 0.396487740570725, 0.673524735983525, 0.723527324953471, 0.843848571432412], "center_dim": 12, "curve_count": 4, "curve_counts": [4, 8, 7, 32, 9, 47, 179, 352, 529, 1083], "curve_counts_str": "4 8 7 32 9 47 179 352 529 1083 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "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": 6, "galois_groups": ["12T293"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 12, "geometric_extension_degree": 1, "geometric_galois_groups": ["12T293"], "geometric_number_fields": ["12.0.82246146636020436296.1"], "geometric_splitting_field": "12.0.82246146636020436296.1", "geometric_splitting_polynomials": [[64, -32, 32, -8, 20, 2, 0, 1, 5, -1, 2, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "6.2.b_c_b_f_ab_a", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 11, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["12.0.82246146636020436296.1"], "p": 2, "p_rank": 5, "p_rank_deficit": 1, "poly": [1, 1, 2, 1, 5, -1, 0, -2, 20, 8, 32, 32, 64], "poly_str": "1 1 2 1 5 -1 0 -2 20 8 32 32 64 ", "primitive_models": [], "q": 2, "real_poly": [1, 1, -10, -9, 25, 13, -20], "simple_distinct": ["6.2.b_c_b_f_ab_a"], "simple_factors": ["6.2.b_c_b_f_ab_aA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "0D", "0E", "1/2A", "1/2B", "1A", "1B", "1C", "1D", "1E"], "splitting_field": "12.0.82246146636020436296.1", "splitting_polynomials": [[64, -32, 32, -8, 20, 2, 0, 1, 5, -1, 2, -1, 1]], "twist_count": 2, "twists": [["6.2.ab_c_ab_f_b_a", "6.4.d_m_v_ct_fb_oi", 2]]}