# Stored data for abelian variety isogeny class 3.3.ae_g_ah, downloaded from the LMFDB on 15 May 2024.
{"label": "3.3.ae_g_ah", "g": 3, "p": 3, "q": 3, "poly": [1, -4, 6, -7, 18, -36, 27], "poly_str": "1 -4 6 -7 18 -36 27 ", "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "p_rank": 3, "p_rank_deficit": 0, "angles": [0.0452398905209979, 0.23933530700568, 0.691360448188009], "angle_rank": 3, "number_fields": ["6.0.2461019.1"], "galois_groups": ["6T3"], "center_dim": 6, "abvar_counts": [5, 495, 11465, 636075, 14736775, 350725815, 10376297545, 272317065075, 7417764013760, 206718770265975], "abvar_counts_str": "5 495 11465 636075 14736775 350725815 10376297545 272317065075 7417764013760 206718770265975 ", "abvar_count": 5, "curve_counts": [0, 6, 15, 98, 250, 657, 2170, 6322, 19140, 59286], "curve_counts_str": "0 6 15 98 250 657 2170 6322 19140 59286 ", "curve_count": 0, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 6, "geometric_number_fields": ["6.0.2461019.1"], "geometric_galois_groups": ["6T3"], "primitive_models": [], "is_primitive": true, "twists": [["3.3.e_g_h", "3.9.ae_q_acp", 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": ["3.3.ae_g_ah"], "simple_multiplicities": [1], "simple_factors": ["3.3.ae_g_ahA"], "dim1_factors": 0, "dim2_factors": 0, "dim3_factors": 1, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 0, "dim3_distinct": 1, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 0, "geom_dim3_factors": 1, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 0, "geom_dim3_distinct": 1, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -4, -3, 17], "jacobian_count": 1, "curves": ["x^4+2*x^3*z+2*x^2*y^2+x^2*y*z+x^2*z^2+x*y^2*z+y^4+z^4=0"], "hyp_count": 0, "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": 11, "geometric_splitting_field": "6.0.2461019.1", "splitting_field": "6.0.2461019.1", "geometric_splitting_polynomials": [[5, 11, 8, 3, 1, -2, 1]], "splitting_polynomials": [[5, 11, 8, 3, 1, -2, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}