# Stored data for abelian variety isogeny class 2.3.b_d, downloaded from the LMFDB on 25 April 2024. {"label": "2.3.b_d", "g": 2, "p": 3, "q": 3, "poly": [1, 1, 3, 3, 9], "poly_str": "1 1 3 3 9 ", "slopes": ["0A", "1/2A", "1/2B", "1A"], "p_rank": 1, "p_rank_deficit": 1, "angles": [0.377272149102848, 0.731463671465265], "angle_rank": 2, "number_fields": ["4.0.11661.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [17, 153, 731, 8109, 49232, 493425, 5068703, 43147989, 390674909, 3480899328], "abvar_counts_str": "17 153 731 8109 49232 493425 5068703 43147989 390674909 3480899328 ", "abvar_count": 17, "curve_counts": [5, 15, 29, 99, 200, 675, 2315, 6579, 19847, 58950], "curve_counts_str": "5 15 29 99 200 675 2315 6579 19847 58950 ", "curve_count": 5, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.11661.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.ab_d", "2.9.f_v", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["2.3.b_d"], "simple_multiplicities": [1], "simple_factors": ["2.3.b_dA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, 1, -3], "jacobian_count": 2, "curves": ["y^2=x^6+2*x^4+2*x^3+2", "y^2=2*x^6+2*x^4+2*x^3+1"], "hyp_count": 2, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 69, "geometric_splitting_field": "4.0.11661.1", "splitting_field": "4.0.11661.1", "geometric_splitting_polynomials": [[9, -3, 3, -1, 1]], "splitting_polynomials": [[9, -3, 3, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 2, "principal_polarization_count": 0, "pic_prime_gens": [[1, 3, 1, 2]]}