# Stored data for abelian variety isogeny class 2.2.ab_b, downloaded from the LMFDB on 16 April 2024.
{"label": "2.2.ab_b", "g": 2, "p": 2, "q": 2, "poly": [1, -1, 1, -2, 4], "poly_str": "1 -1 1 -2 4 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.197201053960792, 0.652365995579139], "angle_rank": 2, "number_fields": ["4.0.2873.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [3, 27, 36, 459, 1803, 3888, 18357, 70227, 225612, 989847], "abvar_counts_str": "3 27 36 459 1803 3888 18357 70227 225612 989847 ", "abvar_count": 3, "curve_counts": [2, 6, 5, 26, 52, 63, 142, 274, 437, 966], "curve_counts_str": "2 6 5 26 52 63 142 274 437 966 ", "curve_count": 2, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.2873.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.b_b", "2.4.b_f", 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": ["2.2.ab_b"], "simple_multiplicities": [1], "simple_factors": ["2.2.ab_bA"], "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": 1, "curves": ["y^2+(x^3+x+1)*y=x^3+x+1"], "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": 17, "geometric_splitting_field": "4.0.2873.1", "splitting_field": "4.0.2873.1", "geometric_splitting_polynomials": [[4, -2, 1, -1, 1]], "splitting_polynomials": [[4, -2, 1, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}