# Stored data for abelian variety isogeny class 2.3.ad_g, downloaded from the LMFDB on 19 April 2024.
{"label": "2.3.ad_g", "g": 2, "p": 3, "q": 3, "poly": [1, -3, 6, -9, 9], "poly_str": "1 -3 6 -9 9 ", "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "p_rank": 0, "p_rank_deficit": 2, "angles": [0.166666666666667, 0.5], "angle_rank": 0, "number_fields": ["2.0.3.1", "2.0.3.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [4, 112, 784, 5824, 66124, 614656, 4964572, 42515200, 387459856, 3501133552], "abvar_counts_str": "4 112 784 5824 66124 614656 4964572 42515200 387459856 3501133552 ", "abvar_count": 4, "curve_counts": [1, 13, 28, 73, 271, 838, 2269, 6481, 19684, 59293], "curve_counts_str": "1 13 28 73 271 838 2269 6481 19684 59293 ", "curve_count": 1, "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.ag_p", "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_ad", "2.729.ee_gmg", 6], ["2.3.a_ag", "2.531441.aeie_gzkyg", 12], ["2.3.a_d", "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", "1.3.a"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.adA", "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": 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, -3], "jacobian_count": 1, "curves": ["y^2=2*x^6+2*x+2"], "hyp_count": 1, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 18, "zfv_index_factorization": [[2, 1], [3, 2]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 36, "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": true, "is_geometrically_squarefree": false, "size": 6, "principal_polarization_count": 0, "pic_prime_gens": []}