# Stored data for abelian variety isogeny class 1.491.abc, downloaded from the LMFDB on 05 May 2024.
{"label": "1.491.abc", "g": 1, "p": 491, "q": 491, "poly": [1, -28, 491], "poly_str": "1 -28 491 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.282311816346155], "angle_rank": 1, "number_fields": ["2.0.295.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [464, 241280, 118390064, 58120491520, 28536946773904, 14011639291694720, 6879714953491846384, 3377940044653026478080, 1658568561964231396026704, 814357163924324418334352000], "abvar_counts_str": "464 241280 118390064 58120491520 28536946773904 14011639291694720 6879714953491846384 3377940044653026478080 1658568561964231396026704 814357163924324418334352000 ", "abvar_count": 464, "curve_counts": [464, 241280, 118390064, 58120491520, 28536946773904, 14011639291694720, 6879714953491846384, 3377940044653026478080, 1658568561964231396026704, 814357163924324418334352000], "curve_counts_str": "464 241280 118390064 58120491520 28536946773904 14011639291694720 6879714953491846384 3377940044653026478080 1658568561964231396026704 814357163924324418334352000 ", "curve_count": 464, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.295.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.491.bc", "1.241081.hq", 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": ["1.491.abc"], "simple_multiplicities": [1], "simple_factors": ["1.491.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": 16, "hyp_count": 16, "geometric_splitting_field": "2.0.295.1", "splitting_field": "2.0.295.1", "geometric_splitting_polynomials": [[74, -1, 1]], "splitting_polynomials": [[74, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}