# Stored data for abelian variety isogeny class 2.3.a_ag, downloaded from the LMFDB on 20 May 2024.
{"abvar_count": 4, "abvar_counts": [4, 16, 676, 4096, 58564, 456976, 4778596, 40960000, 387381124, 3429742096], "abvar_counts_str": "4 16 676 4096 58564 456976 4778596 40960000 387381124 3429742096 ", "angle_rank": 0, "angles": [0.0, 0.0, 1.0, 1.0], "center_dim": 2, "curve_count": 4, "curve_counts": [4, -2, 28, 46, 244, 622, 2188, 6238, 19684, 58078], "curve_counts_str": "4 -2 28 46 244 622 2188 6238 19684 58078 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "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": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 0, "label": "2.3.a_ag", "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "max_twist_degree": 12, "number_fields": ["2.2.12.1"], "p": 3, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, -6, 0, 9], "poly_str": "1 0 -6 0 9 ", "primitive_models": [], "q": 3, "real_poly": [1, 0, -12], "simple_distinct": ["2.3.a_ag"], "simple_factors": ["2.3.a_agA"], "simple_multiplicities": [1], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "2.2.12.1", "splitting_polynomials": [[-3, 0, 1]], "twist_count": 9, "twists": [["2.3.a_d", "2.27.a_acc", 3], ["2.3.a_g", "2.81.abk_ss", 4], ["2.3.a_a", "2.6561.amm_cggc", 8], ["2.3.ag_p", "2.531441.aeie_gzkyg", 12], ["2.3.ad_g", "2.531441.aeie_gzkyg", 12], ["2.3.a_ad", "2.531441.aeie_gzkyg", 12], ["2.3.d_g", "2.531441.aeie_gzkyg", 12], ["2.3.g_p", "2.531441.aeie_gzkyg", 12]]}