# Stored data for abelian variety isogeny class 1.25.h, downloaded from the LMFDB on 04 May 2024.
{"label": "1.25.h", "g": 1, "p": 5, "q": 25, "poly": [1, 7, 25], "poly_str": "1 7 25 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.746816688893365], "angle_rank": 1, "number_fields": ["2.0.51.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [33, 627, 15444, 391875, 9761433, 244138752, 6103633569, 152587111875, 3814699768308, 95367433590627], "abvar_counts_str": "33 627 15444 391875 9761433 244138752 6103633569 152587111875 3814699768308 95367433590627 ", "abvar_count": 33, "curve_counts": [33, 627, 15444, 391875, 9761433, 244138752, 6103633569, 152587111875, 3814699768308, 95367433590627], "curve_counts_str": "33 627 15444 391875 9761433 244138752 6103633569 152587111875 3814699768308 95367433590627 ", "curve_count": 33, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.51.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.25.ah", "1.625.b", 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": ["1.25.h"], "simple_multiplicities": [1], "simple_factors": ["1.25.hA"], "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, 7], "jacobian_count": 2, "hyp_count": 2, "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": 51, "geometric_splitting_field": "2.0.51.1", "splitting_field": "2.0.51.1", "geometric_splitting_polynomials": [[13, -1, 1]], "splitting_polynomials": [[13, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 2, "principal_polarization_count": 2, "pic_prime_gens": [[1, 3, 1, 2]]}