# Stored data for abelian variety isogeny class 1.97.as, downloaded from the LMFDB on 09 December 2025.
{"abvar_count": 80, "abvar_counts": [80, 9280, 912080, 88531200, 8587432400, 832973477440, 80798302045520, 7837433767756800, 760231060071363920, 73742412698177358400], "abvar_counts_str": "80 9280 912080 88531200 8587432400 832973477440 80798302045520 7837433767756800 760231060071363920 73742412698177358400 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.133124938747657], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 9280, 912080, 88531200, 8587432400, 832973477440, 80798302045520, 7837433767756800, 760231060071363920, 73742412698177358400], "curve_counts_str": "80 9280 912080 88531200 8587432400 832973477440 80798302045520 7837433767756800 760231060071363920 73742412698177358400 ", "curves": ["y^2=x^3+87*x+87", "y^2=x^3+11*x+55", "y^2=x^3+x", "y^2=x^3+95*x+87"], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 3, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "1.97.as", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1"], "p": 97, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2]], "poly": [1, -18, 97], "poly_str": "1 -18 97 ", "primitive_models": [], "principal_polarization_count": 4, "q": 97, "real_poly": [1, -18], "simple_distinct": ["1.97.as"], "simple_factors": ["1.97.asA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 4, "twists": [["1.97.s", "1.9409.afa", 2], ["1.97.ai", "1.88529281.cvu", 4], ["1.97.i", "1.88529281.cvu", 4]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 64, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}