# Stored data for abelian variety isogeny class 2.43.au_gy, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1150, "abvar_counts": [1150, 3346500, 6338837950, 11694344250000, 21611320896760750, 39959111692159618500, 73885273999043677641550, 136614076951650028608000000, 252599370891112412801730008350, 467056180405415066021337841162500], "abvar_counts_str": "1150 3346500 6338837950 11694344250000 21611320896760750 39959111692159618500 73885273999043677641550 136614076951650028608000000 252599370891112412801730008350 467056180405415066021337841162500 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.101829535551091, 0.304721441119339], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 24, "curve_counts": [24, 1810, 79728, 3420598, 147007344, 6321280930, 271818304488, 11688204659998, 502592686187064, 21611482897604050], "curve_counts_str": "24 1810 79728 3420598 147007344 6321280930 271818304488 11688204659998 502592686187064 21611482897604050 ", "curves": ["y^2=37*x^6+39*x^5+34*x^4+3*x^3+6*x^2+19*x+13", "y^2=18*x^6+6*x^5+15*x^4+2*x^3+22*x^2+26", "y^2=16*x^6+36*x^5+42*x^4+18*x^3+19*x^2+24*x+39", "y^2=39*x^6+15*x^5+28*x^4+21*x^3+3*x^2+9*x+27", "y^2=22*x^6+x^5+2*x^4+2*x^3+4*x^2+8", "y^2=7*x^6+42*x^5+x^4+3*x^3+27*x^2+5*x+33", "y^2=29*x^6+29*x^5+40*x^4+31*x^3+39*x^2+13*x+1", "y^2=22*x^6+23*x^5+6*x^4+36*x^3+27*x^2+9*x+39", "y^2=5*x^6+35*x^5+14*x^4+40*x^3+7*x^2+x+30", "y^2=29*x^6+11*x^5+6*x^4+2*x^3+28*x^2+33*x+4", "y^2=29*x^6+17*x^5+8*x^4+28*x^3+20*x^2+23*x+31", "y^2=18*x^6+18*x^5+35*x^4+10*x^3+17*x^2+14*x", "y^2=9*x^6+2*x^5+31*x^4+42*x^3+5*x^2+x+29", "y^2=29*x^6+10*x^5+9*x^3+16*x^2+6*x+7", "y^2=33*x^6+22*x^5+6*x^4+10*x^3+24*x^2+13*x+1", "y^2=42*x^6+11*x^5+4*x^4+5*x^3+10*x^2+17*x+19", "y^2=12*x^6+18*x^5+34*x^4+40*x^3+22*x^2+16*x+20", "y^2=30*x^6+9*x^5+26*x^4+25*x^3+21*x^2+12*x+12", "y^2=30*x^6+21*x^5+12*x^4+18*x^3+42*x^2+5*x+29", "y^2=33*x^6+7*x^5+13*x^4+32*x^3+17*x^2+2*x+21"], "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": ["4.0.1126656.1"], "geometric_splitting_field": "4.0.1126656.1", "geometric_splitting_polynomials": [[174, -60, 30, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "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": 20, "label": "2.43.au_gy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.1126656.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -20, 180, -860, 1849], "poly_str": "1 -20 180 -860 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -20, 94], "simple_distinct": ["2.43.au_gy"], "simple_factors": ["2.43.au_gyA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1126656.1", "splitting_polynomials": [[174, -60, 30, 0, 1]], "twist_count": 2, "twists": [["2.43.u_gy", "2.1849.abo_cni", 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": 1956, "zfv_singular_count": 0, "zfv_singular_primes": []}