# Stored data for abelian variety isogeny class 2.2.a_b, downloaded from the LMFDB on 09 August 2022.
{"label": "2.2.a_b", "g": 2, "p": 2, "q": 2, "poly": [1, 0, 1, 0, 4], "poly_str": "1 0 1 0 4 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.290215311627583, 0.709784688372417], "angle_rank": 1, "number_fields": ["4.0.3600.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [6, 36, 54, 576, 1086, 2916, 16134, 57600, 262926, 1179396], "abvar_counts_str": "6 36 54 576 1086 2916 16134 57600 262926 1179396 ", "abvar_count": 6, "curve_counts": [3, 7, 9, 31, 33, 43, 129, 223, 513, 1147], "curve_counts_str": "3 7 9 31 33 43 129 223 513 1147 ", "curve_count": 3, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.15.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.a_ab", "2.16.o_dd", 4], ["2.2.ad_f", "2.4096.o_mez", 12], ["2.2.d_f", "2.4096.o_mez", 12]], "twist_count": 4, "max_twist_degree": 12, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.2.a_b"], "simple_multiplicities": [1], "simple_factors": ["2.2.a_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": 2, "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": false, "real_poly": [1, 0, -3], "jacobian_count": 1, "curves": ["y^2+(x^2+x+1)*y=x^5+x^3+x^2+1"], "hyp_count": 1, "geometric_splitting_field": "2.0.15.1", "splitting_field": "4.0.3600.1", "geometric_splitting_polynomials": [[4, -1, 1]], "splitting_polynomials": [[4, 0, 1, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false}