# Stored data for abelian variety isogeny class 3.2.ad_j_an, downloaded from the LMFDB on 04 June 2024.
{"abvar_count": 8, "abvar_counts": [8, 512, 2744, 4096, 10648, 175616, 2863288, 23887872, 138991832, 907039232], "abvar_counts_str": "8 512 2744 4096 10648 175616 2863288 23887872 138991832 907039232 ", "angle_rank": 1, "angles": [0.384973271918692, 0.384973271918692, 0.384973271918692], "center_dim": 2, "curve_count": 0, "curve_counts": [0, 14, 24, 14, 0, 38, 168, 350, 528, 854], "curve_counts_str": "0 14 24 14 0 38 168 350 528 854 ", "curves": ["x^4+x^2*y^2+x^2*y*z+x^2*z^2+x*y^2*z+x*y*z^2+y^4+y^2*z^2+z^4=0"], "dim1_distinct": 1, "dim1_factors": 3, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 3, "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": 0, "geom_dim5_factors": 0, "geometric_center_dim": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "jacobian_count": 1, "label": "3.2.ad_j_an", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 14, "number_fields": ["2.0.7.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -3, 9, -13, 18, -12, 8], "poly_str": "1 -3 9 -13 18 -12 8 ", "primitive_models": [], "q": 2, "real_poly": [1, -3, 3, -1], "simple_distinct": ["1.2.ab"], "simple_factors": ["1.2.abA", "1.2.abB", "1.2.abC"], "simple_multiplicities": [3], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "2.0.7.1", "splitting_polynomials": [[2, -1, 1]], "twist_count": 14, "twists": [["3.2.ab_f_ad", "3.4.j_bn_dv", 2], ["3.2.b_f_d", "3.4.j_bn_dv", 2], ["3.2.d_j_n", "3.4.j_bn_dv", 2], ["3.2.a_a_f", "3.8.p_dv_ob", 3], ["3.2.ab_ab_d", "3.16.ad_bz_adt", 4], ["3.2.b_ab_ad", "3.16.ad_bz_adt", 4], ["3.2.ac_c_ad", "3.64.abb_qt_agez", 6], ["3.2.a_a_af", "3.64.abb_qt_agez", 6], ["3.2.c_c_d", "3.64.abb_qt_agez", 6], ["3.2.ad_c_b", "3.128.bn_bih_san", 7], ["3.2.e_j_p", "3.128.bn_bih_san", 7], ["3.2.ae_j_ap", "3.16384.kb_echv_uebrj", 14], ["3.2.d_c_ab", "3.16384.kb_echv_uebrj", 14]]}