# Stored data for abelian variety isogeny class 3.2.ad_c_b, downloaded from the LMFDB on 27 April 2024.
{"label": "3.2.ad_c_b", "g": 3, "p": 2, "q": 2, "poly": [1, -3, 2, 1, 4, -12, 8], "poly_str": "1 -3 2 1 4 -12 8 ", "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "p_rank": 3, "p_rank_deficit": 0, "angles": [0.0992589862044063, 0.186455299509879, 0.757883870938451], "angle_rank": 1, "number_fields": ["6.0.16807.1"], "galois_groups": ["6T1"], "center_dim": 6, "abvar_counts": [1, 29, 301, 8149, 34861, 375347, 2863288, 16436533, 149808001, 1062528419], "abvar_counts_str": "1 29 301 8149 34861 375347 2863288 16436533 149808001 1062528419 ", "abvar_count": 1, "curve_counts": [0, 0, 3, 28, 35, 87, 168, 252, 570, 1015], "curve_counts_str": "0 0 3 28 35 87 168 252 570 1015 ", "curve_count": 0, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 7, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.7.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["3.2.d_c_ab", "3.4.af_s_abp", 2], ["3.2.ad_j_an", "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.ab_f_ad", "3.16384.kb_echv_uebrj", 14], ["3.2.b_f_d", "3.16384.kb_echv_uebrj", 14], ["3.2.d_j_n", "3.16384.kb_echv_uebrj", 14], ["3.2.a_a_f", "3.2097152.amkn_cnbjqp_ahcntlshn", 21], ["3.2.ab_ab_d", "3.268435456.ehvp_iucxeut_kkzjegfeih", 28], ["3.2.b_ab_ad", "3.268435456.ehvp_iucxeut_kkzjegfeih", 28], ["3.2.ac_c_ad", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42], ["3.2.a_a_af", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42], ["3.2.c_c_d", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42]], "twist_count": 14, "max_twist_degree": 42, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["3.2.ad_c_b"], "simple_multiplicities": [1], "simple_factors": ["3.2.ad_c_bA"], "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": 3, "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": false, "real_poly": [1, -3, -4, 13], "jacobian_count": 1, "curves": ["x^4+x^3*y+x^2*y*z+x*z^3+y^4+y^3*z+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": 7, "geometric_splitting_field": "2.0.7.1", "splitting_field": "6.0.16807.1", "geometric_splitting_polynomials": [[2, -1, 1]], "splitting_polynomials": [[1, -1, 1, -1, 1, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}