# Stored data for abelian variety isogeny class 3.7.ad_s_abn, downloaded from the LMFDB on 13 January 2026.
{"abvar_count": 299, "abvar_counts": [299, 202423, 42605108, 13577927571, 4814963325029, 1634512418117488, 557205511383658163, 191397984389375339979, 65701722544579764977516, 22539155846911509738063703], "abvar_counts_str": "299 202423 42605108 13577927571 4814963325029 1634512418117488 557205511383658163 191397984389375339979 65701722544579764977516 22539155846911509738063703 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 3, "angles": [0.261695992286018, 0.460186622799622, 0.576642003019329], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 5, "curve_counts": [5, 77, 362, 2357, 17045, 118088, 821567, 5759285, 40347074, 282472937], "curve_counts_str": "5 77 362 2357 17045 118088 821567 5759285 40347074 282472937 ", "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": ["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": ["6.0.6252032304.1"], "geometric_splitting_field": "6.0.6252032304.1", "geometric_splitting_polynomials": [[299, -51, 102, -23, 18, -3, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.7.ad_s_abn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.6252032304.1"], "p": 7, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 21]], "poly": [1, -3, 18, -39, 126, -147, 343], "poly_str": "1 -3 18 -39 126 -147 343 ", "primitive_models": [], "principal_polarization_count": 21, "q": 7, "real_poly": [1, -3, -3, 3], "simple_distinct": ["3.7.ad_s_abn"], "simple_factors": ["3.7.ad_s_abnA"], "simple_multiplicities": [1], "singular_primes": [], "size": 21, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.6252032304.1", "splitting_polynomials": [[299, -51, 102, -23, 18, -3, 1]], "twist_count": 2, "twists": [["3.7.d_s_bn", "3.49.bb_ne_eel", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 21, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 10939, "zfv_singular_count": 0, "zfv_singular_primes": []}