# Stored data for abelian variety isogeny class 3.2.ad_f_ag, downloaded from the LMFDB on 01 July 2026.
{"abvar_count": 3, "abvar_counts": [3, 135, 468, 11475, 73923, 252720, 2074341, 15801075, 108519372, 1014593175], "abvar_counts_str": "3 135 468 11475 73923 252720 2074341 15801075 108519372 1014593175 ", "angle_corank": 1, "angle_rank": 2, "angles": [0.197201053960792, 0.25, 0.652365995579139], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 0, "curve_counts": [0, 6, 9, 34, 60, 63, 126, 242, 405, 966], "curve_counts_str": "0 6 9 34 60 63 126 242 405 966 ", "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", "4T3"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 5, "geometric_extension_degree": 4, "geometric_galois_groups": ["1T1", "4T3"], "geometric_number_fields": ["1.1.1.1", "4.0.2873.1"], "geometric_splitting_field": "4.0.2873.1", "geometric_splitting_polynomials": [[4, -2, 1, -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": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "3.2.ad_f_ag", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 8, "newton_coelevation": 3, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "4.0.2873.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 1, "poly": [1, -3, 5, -6, 10, -12, 8], "poly_str": "1 -3 5 -6 10 -12 8 ", "primitive_models": [], "q": 2, "real_poly": [1, -3, -1, 6], "simple_distinct": ["1.2.ac", "2.2.ab_b"], "simple_factors": ["1.2.acA", "2.2.ab_bA"], "simple_multiplicities": [1, 1], "singular_primes": [], "slopes": ["0A", "0B", "1/2A", "1/2B", "1A", "1B"], "splitting_field": "8.0.2113057024.3", "splitting_polynomials": [[16, 0, -4, 0, 5, 0, -1, 0, 1]], "twist_count": 6, "twists": [["3.2.ab_b_c", "3.4.b_j_i", 2], ["3.2.b_b_ac", "3.4.b_j_i", 2], ["3.2.d_f_g", "3.4.b_j_i", 2], ["3.2.ab_d_ae", "3.256.ap_bh_acii", 8], ["3.2.b_d_e", "3.256.ap_bh_acii", 8]], "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": 68, "zfv_singular_count": 0, "zfv_singular_primes": []}