# Stored data for abelian variety isogeny class 2.43.av_hl, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1119, "abvar_counts": [1119, 3320073, 6336421425, 11698519580829, 21613841264552304, 39959801513617966425, 73885315348722468342261, 136614031022846898553386069, 252599350686232713154888068675, 467056177247011426712346638838528], "abvar_counts_str": "1119 3320073 6336421425 11698519580829 21613841264552304 39959801513617966425 73885315348722468342261 136614031022846898553386069 252599350686232713154888068675 467056177247011426712346638838528 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.112604323979706, 0.269216105065725], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 23, "curve_counts": [23, 1795, 79697, 3421819, 147024488, 6321390055, 271818456611, 11688200730499, 502592645985761, 21611482751459350], "curve_counts_str": "23 1795 79697 3421819 147024488 6321390055 271818456611 11688200730499 502592645985761 21611482751459350 ", "curves": ["y^2=32*x^6+30*x^5+23*x^4+17*x^3+19*x^2+5*x+32", "y^2=35*x^6+15*x^5+37*x^4+32*x^3+39*x^2+39*x+2", "y^2=17*x^6+32*x^5+9*x^4+5*x^3+24*x^2+20*x+24", "y^2=9*x^6+x^5+33*x^4+13*x^3+42*x+27", "y^2=28*x^6+2*x^5+24*x^4+15*x^3+30*x^2+26", "y^2=x^6+9*x^5+21*x^4+37*x^3+40*x^2+21*x+12", "y^2=35*x^6+26*x^5+29*x^4+4*x^3+13*x^2+33*x+8", "y^2=9*x^6+5*x^5+28*x^4+17*x^3+39*x^2+24*x+3"], "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, "endomorphism_ring_count": 1, "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": ["4.0.336141.1"], "geometric_splitting_field": "4.0.336141.1", "geometric_splitting_polynomials": [[159, -48, 28, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.43.av_hl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.336141.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -21, 193, -903, 1849], "poly_str": "1 -21 193 -903 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -21, 107], "simple_distinct": ["2.43.av_hl"], "simple_factors": ["2.43.av_hlA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.336141.1", "splitting_polynomials": [[159, -48, 28, -1, 1]], "twist_count": 2, "twists": [["2.43.v_hl", "2.1849.acd_emf", 2]], "weak_equivalence_count": 1, "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": 1989, "zfv_singular_count": 0, "zfv_singular_primes": []}