# Stored data for abelian variety isogeny class 1.361.abc, downloaded from the LMFDB on 30 April 2024.
{"label": "1.361.abc", "g": 1, "p": 19, "q": 361, "poly": [1, -28, 361], "poly_str": "1 -28 361 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.23631610201659], "angle_rank": 1, "number_fields": ["2.0.660.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [334, 130260, 47054254, 16983819840, 6131070425854, 2213314943067540, 799006684950255934, 288441413535643080960, 104127350297316433880494, 37589973457540847668396500], "abvar_counts_str": "334 130260 47054254 16983819840 6131070425854 2213314943067540 799006684950255934 288441413535643080960 104127350297316433880494 37589973457540847668396500 ", "abvar_count": 334, "curve_counts": [334, 130260, 47054254, 16983819840, 6131070425854, 2213314943067540, 799006684950255934, 288441413535643080960, 104127350297316433880494, 37589973457540847668396500], "curve_counts_str": "334 130260 47054254 16983819840 6131070425854 2213314943067540 799006684950255934 288441413535643080960 104127350297316433880494 37589973457540847668396500 ", "curve_count": 334, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.660.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.361.bc", "1.130321.ack", 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": ["1.361.abc"], "simple_multiplicities": [1], "simple_factors": ["1.361.abcA"], "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, -28], "jacobian_count": 8, "hyp_count": 8, "geometric_splitting_field": "2.0.660.1", "splitting_field": "2.0.660.1", "geometric_splitting_polynomials": [[165, 0, 1]], "splitting_polynomials": [[165, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}