# Stored data for abelian variety isogeny class 2.2.a_ac, downloaded from the LMFDB on 24 April 2024.
{"label": "2.2.a_ac", "g": 2, "p": 2, "q": 2, "poly": [1, 0, -2, 0, 4], "poly_str": "1 0 -2 0 4 ", "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "p_rank": 0, "p_rank_deficit": 2, "angles": [0.166666666666667, 0.833333333333333], "angle_rank": 0, "number_fields": ["4.0.576.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [3, 9, 81, 441, 993, 6561, 16257, 74529, 263169, 986049], "abvar_counts_str": "3 9 81 441 993 6561 16257 74529 263169 986049 ", "abvar_count": 3, "curve_counts": [3, 1, 9, 25, 33, 97, 129, 289, 513, 961], "curve_counts_str": "3 1 9 25 33 97 129 289 513 961 ", "curve_count": 3, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 1, "geometric_number_fields": ["1.1.1.1"], "geometric_galois_groups": ["1T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.a_e", "2.8.a_q", 3], ["2.2.a_c", "2.16.i_bw", 4], ["2.2.ac_c", "2.256.bg_bdo", 8], ["2.2.c_c", "2.256.bg_bdo", 8], ["2.2.a_ae", "2.4096.ajw_bkjg", 12], ["2.2.ae_i", "2.16777216.ayge_imhifg", 24], ["2.2.ac_e", "2.16777216.ayge_imhifg", 24], ["2.2.a_a", "2.16777216.ayge_imhifg", 24], ["2.2.c_e", "2.16777216.ayge_imhifg", 24], ["2.2.e_i", "2.16777216.ayge_imhifg", 24]], "twist_count": 11, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.2.a_ac"], "simple_multiplicities": [1], "simple_factors": ["2.2.a_acA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "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": true, "real_poly": [1, 0, -6], "jacobian_count": 0, "curves": [], "hyp_count": 0, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4, "geometric_splitting_field": "1.1.1.1", "splitting_field": "4.0.576.1", "geometric_splitting_polynomials": [[0, 1]], "splitting_polynomials": [[4, 0, -2, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 2, "principal_polarization_count": 0, "pic_prime_gens": []}