# Stored data for abelian variety isogeny class 1.16.a, downloaded from the LMFDB on 15 May 2024.
{"label": "1.16.a", "g": 1, "p": 2, "q": 16, "poly": [1, 0, 16], "poly_str": "1 0 16 ", "slopes": ["1/2A", "1/2B"], "p_rank": 0, "p_rank_deficit": 1, "angles": [0.5], "angle_rank": 0, "number_fields": ["2.0.4.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [17, 289, 4097, 65025, 1048577, 16785409, 268435457, 4294836225, 68719476737, 1099513724929], "abvar_counts_str": "17 289 4097 65025 1048577 16785409 268435457 4294836225 68719476737 1099513724929 ", "abvar_count": 17, "curve_counts": [17, 289, 4097, 65025, 1048577, 16785409, 268435457, 4294836225, 68719476737, 1099513724929], "curve_counts_str": "17 289 4097 65025 1048577 16785409 268435457 4294836225 68719476737 1099513724929 ", "curve_count": 17, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 1, "geometric_number_fields": ["1.1.1.1"], "geometric_galois_groups": ["1T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.16.ai", "1.65536.ats", 4], ["1.16.i", "1.65536.ats", 4], ["1.16.ae", "1.281474976710656.acvlctc", 12], ["1.16.e", "1.281474976710656.acvlctc", 12]], "twist_count": 5, "max_twist_degree": 12, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.16.a"], "simple_multiplicities": [1], "simple_factors": ["1.16.aA"], "dim1_factors": 1, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 1, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1], "jacobian_count": 1, "hyp_count": 1, "geometric_splitting_field": "1.1.1.1", "splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[0, 1]], "splitting_polynomials": [[1, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}