# Stored data for abelian variety isogeny class 3.2.ac_c_ab, downloaded from the LMFDB on 01 July 2026.
{"abvar_count": 4, "abvar_counts": [4, 104, 592, 11024, 31604, 246272, 2553436, 16778528, 154949488, 1118339144], "abvar_counts_str": "4 104 592 11024 31604 246272 2553436 16778528 154949488 1118339144 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.161334789179573, 0.32700905884545, 0.73988280264235], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 1, "curve_counts": [1, 5, 10, 33, 31, 62, 155, 257, 586, 1065], "curve_counts_str": "1 5 10 33 31 62 155 257 586 1065 ", "curves": ["y^2+(x^4+x^2+x+1)*y=x^8+x^7+x^5+x^3+x^2+1", "x^4+x^3*y+x^2*z^2+x*z^3+y^4+y^3*z+y^2*z^2=0"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.2464727.1"], "geometric_splitting_field": "6.0.2464727.1", "geometric_splitting_polynomials": [[8, -8, 4, -1, 2, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "3.2.ac_c_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.2464727.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -2, 2, -1, 4, -8, 8], "poly_str": "1 -2 2 -1 4 -8 8 ", "primitive_models": [], "q": 2, "real_poly": [1, -2, -4, 7], "simple_distinct": ["3.2.ac_c_ab"], "simple_factors": ["3.2.ac_c_abA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.2464727.1", "splitting_polynomials": [[8, -8, 4, -1, 2, -2, 1]], "twist_count": 2, "twists": [["3.2.c_c_b", "3.4.a_i_ab", 2]], "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": 47, "zfv_singular_count": 0, "zfv_singular_primes": []}