# Stored data for abelian variety isogeny class 2.3.ac_g, downloaded from the LMFDB on 25 April 2024.
{"label": "2.3.ac_g", "g": 2, "p": 3, "q": 3, "poly": [1, -2, 6, -6, 9], "poly_str": "1 -2 6 -6 9 ", "slopes": ["0A", "1/2A", "1/2B", "1A"], "p_rank": 1, "p_rank_deficit": 1, "angles": [0.304086723984696, 0.5], "angle_rank": 1, "number_fields": ["2.0.8.1", "2.0.3.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [8, 192, 1064, 6144, 59048, 536256, 4599176, 41779200, 391199816, 3544297152], "abvar_counts_str": "8 192 1064 6144 59048 536256 4599176 41779200 391199816 3544297152 ", "abvar_count": 8, "curve_counts": [2, 18, 38, 78, 242, 738, 2102, 6366, 19874, 60018], "curve_counts_str": "2 18 38 78 242 738 2102 6366 19874 60018 ", "curve_count": 2, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 3, "geometric_number_fields": ["1.1.1.1", "2.0.8.1"], "geometric_galois_groups": ["1T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.c_g", "2.9.i_be", 2], ["2.3.af_m", "2.27.k_cc", 3], ["2.3.b_a", "2.27.k_cc", 3], ["2.3.ab_a", "2.729.i_abnm", 6], ["2.3.f_m", "2.729.i_abnm", 6]], "twist_count": 6, "max_twist_degree": 6, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.3.ac", "1.3.a"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.acA", "1.3.aA"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 2, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 2, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1, -2], "jacobian_count": 2, "curves": ["y^2=2*x^5+x^4+2*x^3+x^2+2*x", "y^2=2*x^6+2*x^5+x^4+x^3+x^2+2*x+2"], "hyp_count": 2, "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 96, "geometric_splitting_field": "2.0.8.1", "splitting_field": "4.0.576.1", "geometric_splitting_polynomials": [[2, 0, 1]], "splitting_polynomials": [[4, 0, -2, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 6, "principal_polarization_count": 0, "pic_prime_gens": [[1, 3, 1, 2]]}