# Stored data for abelian variety isogeny class 3.2.a_ab_b, downloaded from the LMFDB on 18 October 2025.
{"abvar_count": 7, "abvar_counts": [7, 35, 931, 2275, 40957, 423605, 2480968, 18184075, 128099083, 1233829625], "abvar_counts_str": "7 35 931 2275 40957 423605 2480968 18184075 128099083 1233829625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 3, "angles": [0.136803573082331, 0.483868732217172, 0.909340018529656], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 3, "curve_counts": [3, 3, 12, 7, 38, 96, 150, 279, 489, 1168], "curve_counts_str": "3 3 12 7 38 96 150 279 489 1168 ", "curves": ["x^4+x^3*y+x^3*z+x*z^3+y^3*z=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": ["6.0.12663175.1"], "geometric_splitting_field": "6.0.12663175.1", "geometric_splitting_polynomials": [[8, 0, -2, -1, -1, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 1, "label": "3.2.a_ab_b", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["6.0.12663175.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, 0, -1, 1, -2, 0, 8], "poly_str": "1 0 -1 1 -2 0 8 ", "primitive_models": [], "principal_polarization_count": 1, "q": 2, "real_poly": [1, 0, -7, 1], "simple_distinct": ["3.2.a_ab_b"], "simple_factors": ["3.2.a_ab_bA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.12663175.1", "splitting_polynomials": [[8, 0, -2, -1, -1, 0, 1]], "twist_count": 2, "twists": [["3.2.a_ab_ab", "3.4.ac_ad_t", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 7, "zfv_singular_count": 0, "zfv_singular_primes": []}