# Stored data for abelian variety isogeny class 2.83.bg_qg, downloaded from the LMFDB on 10 November 2025.
{"abvar_count": 10000, "abvar_counts": [10000, 46240000, 327069610000, 2252831296000000, 15515252262540250000, 106890747299335219360000, 736364732284885060266010000, 5072820581287523460473856000000, 34946658968188357798601065260010000, 240747534056326506412743217552996000000], "abvar_counts_str": "10000 46240000 327069610000 2252831296000000 15515252262540250000 106890747299335219360000 736364732284885060266010000 5072820581287523460473856000000 34946658968188357798601065260010000 240747534056326506412743217552996000000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.841198311972968, 0.841198311972968], "center_dim": 2, "curve_count": 116, "curve_counts": [116, 6710, 572012, 47469678, 3938840356, 326942635430, 27136031420572, 2252292357492958, 186940254886109396, 15516041182904374550], "curve_counts_str": "116 6710 572012 47469678 3938840356 326942635430 27136031420572 2252292357492958 186940254886109396 15516041182904374550 ", "curves": ["y^2=78*x^6+63*x^5+62*x^4+6*x^3+62*x^2+63*x+78", "y^2=43*x^6+53*x^5+38*x^4+81*x^2+62*x", "y^2=47*x^6+22*x^5+61*x^4+77*x^3+61*x^2+22*x+47", "y^2=67*x^6+11*x^5+17*x^4+34*x^3+46*x^2+62*x+70", "y^2=75*x^6+40*x^5+79*x^4+11*x^3+79*x^2+40*x+75", "y^2=67*x^6+13*x^4+13*x^2+67", "y^2=40*x^6+34*x^5+64*x^4+64*x^2+34*x+40", "y^2=3*x^6+45*x^5+57*x^4+13*x^3+47*x^2+46*x+40", "y^2=2*x^6+32*x^5+29*x^4+56*x^3+48*x^2+51*x+43", "y^2=70*x^6+55*x^5+70*x^4+66*x^3+29*x^2+8*x+51", "y^2=19*x^6+79*x^4+79*x^2+19", "y^2=4*x^6+51*x^5+55*x^4+32*x^3+30*x^2+81*x+33", "y^2=3*x^6+x^4+x^2+3", "y^2=38*x^6+11*x^5+77*x^4+33*x^3+12*x^2+44*x+28"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -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, "is_supersingular": false, "jacobian_count": 14, "label": "2.83.bg_qg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.19.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 32, 422, 2656, 6889], "poly_str": "1 32 422 2656 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 32, 256], "simple_distinct": ["1.83.q"], "simple_factors": ["1.83.qA", "1.83.qB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.83.abg_qg", "2.6889.agy_bgjm", 2], ["2.83.a_adm", "2.6889.agy_bgjm", 2], ["2.83.aq_gr", "2.571787.iq_cnugc", 3], ["2.83.a_dm", "2.47458321.quu_ksgrby", 4], ["2.83.q_gr", "2.326940373369.eysgi_jgrsvhtco", 6]]}