# Stored data for abelian variety isogeny class 5.3.b_f_c_x_t, downloaded from the LMFDB on 11 March 2026.
{"abvar_count": 597, "abvar_counts": [597, 211935, 9950796, 6681250875, 1000984796247, 179155922327280, 46980772466701929, 12046829994726271875, 2952918516036361029588, 715099625614312890383175], "abvar_counts_str": "597 211935 9950796 6681250875 1000984796247 179155922327280 46980772466701929 12046829994726271875 2952918516036361029588 715099625614312890383175 ", "angle_corank": 0, "angle_rank": 5, "angles": [0.244840734562288, 0.308355288910736, 0.610856821699259, 0.65914476611472, 0.771312796682439], "center_dim": 10, "curve_count": 5, "curve_counts": [5, 19, 20, 135, 285, 628, 2049, 6503, 19676, 58819], "curve_counts_str": "5 19 20 135 285 628 2049 6503 19676 58819 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 1, "dim5_factors": 1, "g": 5, "galois_groups": ["10T39"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 1, "geom_dim5_factors": 1, "geometric_center_dim": 10, "geometric_extension_degree": 1, "geometric_galois_groups": ["10T39"], "geometric_number_fields": ["10.0.86427828766225152.1"], "geometric_splitting_field": "10.0.86427828766225152.1", "geometric_splitting_polynomials": [[243, -81, 135, -18, 69, -19, 23, -2, 5, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "5.3.b_f_c_x_t", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 9, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["10.0.86427828766225152.1"], "p": 3, "p_rank": 5, "p_rank_deficit": 0, "poly": [1, 1, 5, 2, 23, 19, 69, 18, 135, 81, 243], "poly_str": "1 1 5 2 23 19 69 18 135 81 243 ", "primitive_models": [], "q": 3, "real_poly": [1, 1, -10, -10, 23, 25], "simple_distinct": ["5.3.b_f_c_x_t"], "simple_factors": ["5.3.b_f_c_x_tA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "0D", "0E", "1A", "1B", "1C", "1D", "1E"], "splitting_field": "10.0.86427828766225152.1", "splitting_polynomials": [[243, -81, 135, -18, 69, -19, 23, -2, 5, -1, 1]], "twist_count": 2, "twists": [["5.3.ab_f_ac_x_at", "5.9.j_cp_mo_caz_gnv", 2]]}