# Stored data for abelian variety isogeny class 3.2.ab_e_ad, downloaded from the LMFDB on 28 October 2025.
{"abvar_count": 13, "abvar_counts": [13, 377, 559, 4901, 37843, 210743, 2070536, 16472261, 114948847, 1120493387], "abvar_counts_str": "13 377 559 4901 37843 210743 2070536 16472261 114948847 1120493387 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 3, "angles": [0.280141586831443, 0.449706191355169, 0.645331392110945], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 2, "curve_counts": [2, 12, 11, 20, 37, 51, 128, 252, 434, 1067], "curve_counts_str": "2 12 11 20 37 51 128 252 434 1067 ", "curves": [], "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": ["6T6"], "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": ["6T6"], "geometric_number_fields": ["6.0.573839.1"], "geometric_splitting_field": "6.0.573839.1", "geometric_splitting_polynomials": [[8, -4, 8, -3, 4, -1, 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": 0, "label": "3.2.ab_e_ad", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["6.0.573839.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -1, 4, -3, 8, -4, 8], "poly_str": "1 -1 4 -3 8 -4 8 ", "primitive_models": [], "principal_polarization_count": 1, "q": 2, "real_poly": [1, -1, -2, 1], "simple_distinct": ["3.2.ab_e_ad"], "simple_factors": ["3.2.ab_e_adA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.573839.1", "splitting_polynomials": [[8, -4, 8, -3, 4, -1, 1]], "twist_count": 2, "twists": [["3.2.b_e_d", "3.4.h_ba_cl", 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": 239, "zfv_singular_count": 0, "zfv_singular_primes": []}