# Stored data for abelian variety isogeny class 2.43.au_gx, downloaded from the LMFDB on 09 June 2024.
{"abvar_count": 1149, "abvar_counts": [1149, 3342441, 6334027956, 11691327169881, 21610086049060989, 39958756261077330576, 73885200706208265592821, 136614065225001885510870825, 252599368412657221660661101524, 467056179485191178186514472862121], "abvar_counts_str": "1149 3342441 6334027956 11691327169881 21610086049060989 39958756261077330576 73885200706208265592821 136614065225001885510870825 252599368412657221660661101524 467056179485191178186514472862121 ", "angle_rank": 2, "angles": [0.0853946760970075, 0.310510497030457], "center_dim": 4, "curve_count": 24, "curve_counts": [24, 1808, 79668, 3419716, 146998944, 6321224702, 271818034848, 11688203656708, 502592681255724, 21611482855023728], "curve_counts_str": "24 1808 79668 3419716 146998944 6321224702 271818034848 11688203656708 502592681255724 21611482855023728 ", "curves": ["y^2=28*x^6+34*x^5+37*x^4+34*x^3+39*x^2+7*x+17", "y^2=37*x^6+40*x^5+31*x^4+9*x^3+37*x^2+42*x+6", "y^2=33*x^6+16*x^5+24*x^4+5*x^3+17*x^2+3", "y^2=17*x^6+22*x^5+16*x^4+42*x^3+25*x^2+19*x+8"], "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.1117200.1"], "geometric_splitting_field": "4.0.1117200.1", "geometric_splitting_polynomials": [[149, -70, 29, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 4, "label": "2.43.au_gx", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.1117200.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 19, 1, 2]], "poly": [1, -20, 179, -860, 1849], "poly_str": "1 -20 179 -860 1849 ", "primitive_models": [], "principal_polarization_count": 4, "q": 43, "real_poly": [1, -20, 93], "simple_distinct": ["2.43.au_gx"], "simple_factors": ["2.43.au_gxA"], "simple_multiplicities": [1], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1117200.1", "splitting_polynomials": [[149, -70, 29, 0, 1]], "twist_count": 2, "twists": [["2.43.u_gx", "2.1849.abq_bzn", 2]], "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1425}