# Stored data for abelian variety isogeny class 3.17.g_bk_hd, downloaded from the LMFDB on 18 June 2026. {"abvar_count": 7487, "abvar_counts": [7487, 27230219, 121621470911, 577795865773699, 2858567333749876207, 14069394306343834440659, 69086129006648750221885447, 339458743108992455519910862851, 1667708090722312117062315581684672, 8193467423914103244738145052435150339], "abvar_counts_str": "7487 27230219 121621470911 577795865773699 2858567333749876207 14069394306343834440659 69086129006648750221885447 339458743108992455519910862851 1667708090722312117062315581684672 8193467423914103244738145052435150339 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.398047938739333, 0.537067515513115, 0.876997200470165], "center_dim": 6, "curve_count": 24, "curve_counts": [24, 326, 5037, 82826, 1417944, 24148397, 410304198, 6975964418, 118587646716, 2015994318266], "curve_counts_str": "24 326 5037 82826 1417944 24148397 410304198 6975964418 118587646716 2015994318266 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T6"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "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": ["6T6"], "geometric_number_fields": ["6.0.260412651.1"], "geometric_splitting_field": "6.0.260412651.1", "geometric_splitting_polynomials": [[809, -117, 240, -10, 30, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "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, "label": "3.17.g_bk_hd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.260412651.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 6, 36, 185, 612, 1734, 4913], "poly_str": "1 6 36 185 612 1734 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, 6, -15, -19], "simple_distinct": ["3.17.g_bk_hd"], "simple_factors": ["3.17.g_bk_hdA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.260412651.1", "splitting_polynomials": [[809, -117, 240, -10, 30, 0, 1]], "twist_count": 2, "twists": [["3.17.ag_bk_ahd", "3.289.bk_lo_abrz", 2]]}