# Stored data for abelian variety isogeny class 3.2.ad_h_am, downloaded from the LMFDB on 01 July 2026.
{"abvar_count": 3, "abvar_counts": [3, 171, 684, 1539, 31713, 467856, 2844579, 15736275, 134079732, 1212927111], "abvar_counts_str": "3 171 684 1539 31713 467856 2844579 15736275 134079732 1212927111 ", "angle_corank": 2, "angle_rank": 1, "angles": [0.123548644960916, 0.45688197829425, 0.5], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 0, "curve_counts": [0, 10, 9, 2, 30, 103, 168, 242, 513, 1150], "curve_counts_str": "0 10 9 2 30 103 168 242 513 1150 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["2T1", "4T2"], "geom_dim1_distinct": 2, "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": 3, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.15.1"], "geometric_splitting_field": "2.0.15.1", "geometric_splitting_polynomials": [[4, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "3.2.ad_h_am", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 3, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["2.0.8.1", "4.0.225.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 1, "poly": [1, -3, 7, -12, 14, -12, 8], "poly_str": "1 -3 7 -12 14 -12 8 ", "primitive_models": [], "q": 2, "real_poly": [1, -3, 1], "simple_distinct": ["1.2.a", "2.2.ad_f"], "simple_factors": ["1.2.aA", "2.2.ad_fA"], "simple_multiplicities": [1, 1], "singular_primes": [], "slopes": ["0A", "0B", "1/2A", "1/2B", "1A", "1B"], "splitting_field": "8.0.207360000.2", "splitting_polynomials": [[16, 0, -24, 0, 32, 0, -6, 0, 1]], "twist_count": 12, "twists": [["3.2.d_h_m", "3.4.f_f_ae", 2], ["3.2.a_b_a", "3.8.a_t_a", 3], ["3.2.af_n_aw", "3.256.ap_ajv_lie", 8], ["3.2.ab_b_ac", "3.256.ap_ajv_lie", 8], ["3.2.b_b_c", "3.256.ap_ajv_lie", 8], ["3.2.f_n_w", "3.256.ap_ajv_lie", 8], ["3.2.a_d_a", "3.4096.aek_ppp_acbmua", 12], ["3.2.ac_b_c", "3.16777216.lzi_abkskvf_abhvgcecyi", 24], ["3.2.ac_d_ac", "3.16777216.lzi_abkskvf_abhvgcecyi", 24], ["3.2.c_b_ac", "3.16777216.lzi_abkskvf_abhvgcecyi", 24], ["3.2.c_d_c", "3.16777216.lzi_abkskvf_abhvgcecyi", 24]], "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": 72, "zfv_singular_count": 0, "zfv_singular_primes": []}