# Stored data for abelian variety isogeny class 2.31.aq_ew, downloaded from the LMFDB on 22 May 2024.
{"abvar_count": 576, "abvar_counts": [576, 921600, 901440576, 856439193600, 820095180388416, 787673006089113600, 756932564465162911296, 727419997301923617177600, 699053183884578456828196416, 671790513743165867950656000000], "abvar_counts_str": "576 921600 901440576 856439193600 820095180388416 787673006089113600 756932564465162911296 727419997301923617177600 699053183884578456828196416 671790513743165867950656000000 ", "angle_rank": 1, "angles": [0.244865078763254, 0.244865078763254], "center_dim": 2, "curve_count": 16, "curve_counts": [16, 958, 30256, 927358, 28645456, 887515198, 27512200816, 852887374078, 26439605665936, 819628268587198], "curve_counts_str": "16 958 30256 927358 28645456 887515198 27512200816 852887374078 26439605665936 819628268587198 ", "curves": ["y^2=x^6+14*x^3+16", "y^2=x^6+18*x^3+4", "y^2=16*x^6+27*x^5+6*x^4+7*x^3+6*x^2+27*x+16", "y^2=15*x^6+11*x^4+11*x^2+15", "y^2=15*x^6+17*x^5+7*x^4+6*x^3+7*x^2+17*x+15", "y^2=29*x^5+20*x^4+25*x^3+5*x^2+27*x", "y^2=29*x^6+6*x^5+10*x^4+6*x^3+5*x^2+17*x+23", "y^2=10*x^6+20*x^4+20*x^2+10", "y^2=22*x^6+22*x^5+29*x^4+29*x^2+22*x+22", "y^2=27*x^6+13*x^4+13*x^2+27", "y^2=17*x^6+28*x^5+16*x^4+x^3+16*x^2+28*x+17", "y^2=4*x^6+19*x^5+9*x^4+11*x^3+9*x^2+19*x+4", "y^2=6*x^6+9*x^4+9*x^2+6", "y^2=30*x^6+15*x^5+x^4+13*x^3+x^2+15*x+30"], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.15.1"], "geometric_splitting_field": "2.0.15.1", "geometric_splitting_polynomials": [[4, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "jacobian_count": 14, "label": "2.31.aq_ew", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "number_fields": ["2.0.15.1"], "p": 31, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -16, 126, -496, 961], "poly_str": "1 -16 126 -496 961 ", "primitive_models": [], "q": 31, "real_poly": [1, -16, 64], "simple_distinct": ["1.31.ai"], "simple_factors": ["1.31.aiA", "1.31.aiB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.15.1", "splitting_polynomials": [[4, -1, 1]], "twist_count": 6, "twists": [["2.31.a_ac", "2.961.ae_cwc", 2], ["2.31.q_ew", "2.961.ae_cwc", 2], ["2.31.i_bh", "2.29791.rw_gltu", 3], ["2.31.a_c", "2.923521.fro_mckfm", 4], ["2.31.ai_bh", "2.887503681.ray_fweuttm", 6]]}