# Stored data for abelian variety isogeny class 2.43.au_he, downloaded from the LMFDB on 04 September 2025.
{"abvar_count": 1156, "abvar_counts": [1156, 3370896, 6367720804, 11712164668416, 21618113196628036, 39960577932700465296, 73885237467286894797604, 136613898879618190141440000, 252599288559205909250984800516, 467056158506693896838274475460496], "abvar_counts_str": "1156 3370896 6367720804 11712164668416 21618113196628036 39960577932700465296 73885237467286894797604 136613898879618190141440000 252599288559205909250984800516 467056158506693896838274475460496 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.223975234504292, 0.223975234504292], "center_dim": 2, "curve_count": 24, "curve_counts": [24, 1822, 80088, 3425806, 147053544, 6321512878, 271818170088, 11688189424798, 502592522372664, 21611481884313022], "curve_counts_str": "24 1822 80088 3425806 147053544 6321512878 271818170088 11688189424798 502592522372664 21611481884313022 ", "curves": ["y^2=3*x^6+3*x^3+19", "y^2=20*x^6+37*x^4+37*x^2+20", "y^2=21*x^5+30*x^4+2*x^3+30*x^2+21*x", "y^2=42*x^6+32*x^5+8*x^4+33*x^3+8*x^2+32*x+42", "y^2=29*x^6+x^5+6*x^4+29*x^3+38*x^2+26*x+8", "y^2=10*x^6+8*x^5+16*x^4+21*x^3+23*x^2+34*x+6", "y^2=39*x^6+33*x^5+25*x^4+21*x^3+35*x^2+21*x+5", "y^2=37*x^6+20*x^5+36*x^4+36*x^2+20*x+37", "y^2=3*x^6+4*x^5+28*x^4+28*x^2+39*x+3", "y^2=3*x^6+8*x^3+33", "y^2=17*x^5+7*x^4+3*x^3+13*x^2+13*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": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 11, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 11, "label": "2.43.au_he", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.8.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -20, 186, -860, 1849], "poly_str": "1 -20 186 -860 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -20, 100], "simple_distinct": ["1.43.ak"], "simple_factors": ["1.43.akA", "1.43.akB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.8.1", "splitting_polynomials": [[2, 0, 1]], "twist_count": 8, "twists": [["2.43.a_ao", "2.1849.abc_ftu", 2], ["2.43.u_he", "2.1849.abc_ftu", 2], ["2.43.k_cf", "2.79507.wi_nvqo", 3], ["2.43.a_o", "2.3418801.kjk_bpuuve", 4], ["2.43.ak_cf", "2.6321363049.inqq_chclatoo", 6], ["2.43.am_cu", "2.11688200277601.axtmlo_jsyqjmytjq", 8], ["2.43.m_cu", "2.11688200277601.axtmlo_jsyqjmytjq", 8]]}