# Stored data for abelian variety isogeny class 2.2.b_d, downloaded from the LMFDB on 19 April 2024.
{"label": "2.2.b_d", "g": 2, "p": 2, "q": 2, "poly": [1, 1, 3, 2, 4], "poly_str": "1 1 3 2 4 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.42988101955133, 0.693856106094751], "angle_rank": 2, "number_fields": ["4.0.1025.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [11, 55, 44, 275, 781, 3520, 22649, 66275, 226556, 1073875], "abvar_counts_str": "11 55 44 275 781 3520 22649 66275 226556 1073875 ", "abvar_count": 11, "curve_counts": [4, 10, 7, 18, 24, 55, 172, 258, 439, 1050], "curve_counts_str": "4 10 7 18 24 55 172 258 439 1050 ", "curve_count": 4, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.1025.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.ab_d", "2.4.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": ["2.2.b_d"], "simple_multiplicities": [1], "simple_factors": ["2.2.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, -1], "jacobian_count": 1, "curves": ["y^2+(x^3+x+1)*y=x^6+x^5+x^4+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": 41, "geometric_splitting_field": "4.0.1025.1", "splitting_field": "4.0.1025.1", "geometric_splitting_polynomials": [[4, -2, 3, -1, 1]], "splitting_polynomials": [[4, -2, 3, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}