# Stored data for abelian variety isogeny class 3.5.c_h_x, downloaded from the LMFDB on 24 December 2025.
{"abvar_count": 243, "abvar_counts": [243, 22599, 2601072, 227278143, 28602678528, 3869427537216, 477191791255527, 59849284535678511, 7436445313202772336, 931605418704864006144], "abvar_counts_str": "243 22599 2601072 227278143 28602678528 3869427537216 477191791255527 59849284535678511 7436445313202772336 931605418704864006144 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.376847748143729, 0.469230501932483, 0.872660818877528], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 36, 161, 580, 2923, 15849, 78184, 392228, 1949417, 9768591], "curve_counts_str": "8 36 161 580 2923 15849 78184 392228 1949417 9768591 ", "curves": ["4*x^3*y+4*x^3*z+x^2*y^2+2*x^2*y*z+x^2*z^2+x*z^3+y^3*z=0", "4*x^3*y+4*x^3*z+x^2*y^2+3*x^2*y*z+x^2*z^2+x*y*z^2+x*z^3+y^3*z=0", "x^4+2*x^3*z+3*x^2*y^2+3*x^2*y*z+x^2*z^2+x*y*z^2+x*z^3+y^3*z=0", "3*x^4+4*x^3*y+x^3*z+3*x^2*y^2+2*x^2*y*z+3*x^2*z^2+x*z^3+y^4+y^2*z^2=0", "x^3*y+x^3*z+2*x^2*y^2+2*x^2*y*z+4*x^2*z^2+x*z^3+y^4+y^2*z^2=0"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.1249779231.1"], "geometric_splitting_field": "6.0.1249779231.1", "geometric_splitting_polynomials": [[125, -50, 35, -23, 7, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "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, "jacobian_count": 5, "label": "3.5.c_h_x", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.1249779231.1"], "p": 5, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 2, 7, 23, 35, 50, 125], "poly_str": "1 2 7 23 35 50 125 ", "primitive_models": [], "q": 5, "real_poly": [1, 2, -8, 3], "simple_distinct": ["3.5.c_h_x"], "simple_factors": ["3.5.c_h_xA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.1249779231.1", "splitting_polynomials": [[125, -50, 35, -23, 7, -2, 1]], "twist_count": 2, "twists": [["3.5.ac_h_ax", "3.25.k_bb_l", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1031, "zfv_singular_count": 0, "zfv_singular_primes": []}