# Stored data for abelian variety isogeny class 2.3.ag_p, downloaded from the LMFDB on 19 April 2024.
{"label": "2.3.ag_p", "g": 2, "p": 3, "q": 3, "poly": [1, -6, 15, -18, 9], "poly_str": "1 -6 15 -18 9 ", "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "p_rank": 0, "p_rank_deficit": 2, "angles": [0.166666666666667, 0.166666666666667], "angle_rank": 0, "number_fields": ["2.0.3.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [1, 49, 784, 8281, 73441, 614656, 5148361, 44129449, 387459856, 3458263249], "abvar_counts_str": "1 49 784 8281 73441 614656 5148361 44129449 387459856 3458263249 ", "abvar_count": 1, "curve_counts": [-2, 4, 28, 100, 298, 838, 2350, 6724, 19684, 58564], "curve_counts_str": "-2 4 28 100 298 838 2350 6724 19684 58564 ", "curve_count": -2, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 1, "geometric_number_fields": ["1.1.1.1"], "geometric_galois_groups": ["1T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.a_ad", "2.9.ag_bb", 2], ["2.3.g_p", "2.9.ag_bb", 2], ["2.3.ad_g", "2.27.a_cc", 3], ["2.3.a_ad", "2.27.a_cc", 3], ["2.3.a_g", "2.27.a_cc", 3], ["2.3.d_g", "2.27.a_cc", 3], ["2.3.g_p", "2.27.a_cc", 3], ["2.3.a_d", "2.81.s_jj", 4], ["2.3.a_ad", "2.729.ee_gmg", 6], ["2.3.a_ag", "2.531441.aeie_gzkyg", 12], ["2.3.a_a", "2.282429536481.aeqyqe_iczorenwg", 24]], "twist_count": 9, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.3.ad"], "simple_multiplicities": [2], "simple_factors": ["1.3.adA", "1.3.adB"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "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": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1, -6, 9], "jacobian_count": 0, "curves": [], "hyp_count": 0, "geometric_splitting_field": "1.1.1.1", "splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[0, 1]], "splitting_polynomials": [[1, -1, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}