# Stored data for abelian variety isogeny class 1.137.ak, downloaded from the LMFDB on 02 May 2024.
{"label": "1.137.ak", "g": 1, "p": 137, "q": 137, "poly": [1, -10, 137], "poly_str": "1 -10 137 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.359507476071201], "angle_rank": 1, "number_fields": ["2.0.7.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [128, 18944, 2574464, 352282624, 48261371008, 6611851721216, 905824309462144, 124097930619494400, 17001416411661711488, 2329194047534988491264], "abvar_counts_str": "128 18944 2574464 352282624 48261371008 6611851721216 905824309462144 124097930619494400 17001416411661711488 2329194047534988491264 ", "abvar_count": 128, "curve_counts": [128, 18944, 2574464, 352282624, 48261371008, 6611851721216, 905824309462144, 124097930619494400, 17001416411661711488, 2329194047534988491264], "curve_counts_str": "128 18944 2574464 352282624 48261371008 6611851721216 905824309462144 124097930619494400 17001416411661711488 2329194047534988491264 ", "curve_count": 128, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.7.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.137.k", "1.18769.gs", 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": ["1.137.ak"], "simple_multiplicities": [1], "simple_factors": ["1.137.akA"], "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, -10], "jacobian_count": 8, "hyp_count": 8, "geometric_splitting_field": "2.0.7.1", "splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "splitting_polynomials": [[2, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}