# Stored data for abelian variety isogeny class 1.59.k, downloaded from the LMFDB on 05 May 2024.
{"label": "1.59.k", "g": 1, "p": 59, "q": 59, "poly": [1, 10, 59], "poly_str": "1 10 59 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.725626973200426], "angle_rank": 1, "number_fields": ["2.0.136.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [70, 3500, 204610, 12124000, 714903350, 42180351500, 2488654542290, 146830417776000, 8662995836547430, 511116754291587500], "abvar_counts_str": "70 3500 204610 12124000 714903350 42180351500 2488654542290 146830417776000 8662995836547430 511116754291587500 ", "abvar_count": 70, "curve_counts": [70, 3500, 204610, 12124000, 714903350, 42180351500, 2488654542290, 146830417776000, 8662995836547430, 511116754291587500], "curve_counts_str": "70 3500 204610 12124000 714903350 42180351500 2488654542290 146830417776000 8662995836547430 511116754291587500 ", "curve_count": 70, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.136.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.59.ak", "1.3481.s", 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": ["1.59.k"], "simple_multiplicities": [1], "simple_factors": ["1.59.kA"], "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": 4, "hyp_count": 4, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 136, "geometric_splitting_field": "2.0.136.1", "splitting_field": "2.0.136.1", "geometric_splitting_polynomials": [[34, 0, 1]], "splitting_polynomials": [[34, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 4, "principal_polarization_count": 4, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 4]]}