# Stored data for abelian variety isogeny class 2.3.ad_h, downloaded from the LMFDB on 18 April 2024.
{"label": "2.3.ad_h", "g": 2, "p": 3, "q": 3, "poly": [1, -3, 7, -9, 9], "poly_str": "1 -3 7 -9 9 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.227267020856067, 0.464830336654373], "angle_rank": 2, "number_fields": ["4.0.1525.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [5, 145, 1055, 6525, 62000, 581305, 4870955, 41505525, 377427305, 3480928000], "abvar_counts_str": "5 145 1055 6525 62000 581305 4870955 41505525 377427305 3480928000 ", "abvar_count": 5, "curve_counts": [1, 15, 37, 83, 256, 795, 2227, 6323, 19171, 58950], "curve_counts_str": "1 15 37 83 256 795 2227 6323 19171 58950 ", "curve_count": 1, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.1525.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.d_h", "2.9.f_n", 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.ad_h"], "simple_multiplicities": [1], "simple_factors": ["2.3.ad_hA"], "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, -3, 1], "jacobian_count": 1, "curves": ["y^2=2*x^6+2*x^5+x^4+2*x^2+2*x+2"], "hyp_count": 1, "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": 61, "geometric_splitting_field": "4.0.1525.1", "splitting_field": "4.0.1525.1", "geometric_splitting_polynomials": [[5, -5, 6, -2, 1]], "splitting_polynomials": [[5, -5, 6, -2, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}