# Stored data for abelian variety isogeny class 1.149.at, downloaded from the LMFDB on 01 May 2024.
{"label": "1.149.at", "g": 1, "p": 149, "q": 149, "poly": [1, -19, 149], "poly_str": "1 -19 149 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.216097335442516], "angle_rank": 1, "number_fields": ["2.0.235.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [131, 22139, 3309584, 492924835, 73440300511, 10942530532544, 1630436458187059, 242935032100070115, 36197319867767333456, 5393400661934913955379], "abvar_counts_str": "131 22139 3309584 492924835 73440300511 10942530532544 1630436458187059 242935032100070115 36197319867767333456 5393400661934913955379 ", "abvar_count": 131, "curve_counts": [131, 22139, 3309584, 492924835, 73440300511, 10942530532544, 1630436458187059, 242935032100070115, 36197319867767333456, 5393400661934913955379], "curve_counts_str": "131 22139 3309584 492924835 73440300511 10942530532544 1630436458187059 242935032100070115 36197319867767333456 5393400661934913955379 ", "curve_count": 131, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.235.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.149.t", "1.22201.acl", 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": ["1.149.at"], "simple_multiplicities": [1], "simple_factors": ["1.149.atA"], "dim1_factors": 1, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 1, "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, -19], "jacobian_count": 2, "hyp_count": 2, "geometric_splitting_field": "2.0.235.1", "splitting_field": "2.0.235.1", "geometric_splitting_polynomials": [[59, -1, 1]], "splitting_polynomials": [[59, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}