# Stored data for abelian variety isogeny class 2.43.at_gr, downloaded from the LMFDB on 09 February 2026.
{"abvar_count": 1187, "abvar_counts": [1187, 3393633, 6365338541, 11705091570189, 21614622116806832, 39959817680476962225, 73885325235790641554153, 136614036953005400084706549, 252599345307791543092649464799, 467056170507064276868628573481728], "abvar_counts_str": "1187 3393633 6365338541 11705091570189 21614622116806832 39959817680476962225 73885325235790641554153 136614036953005400084706549 252599345307791543092649464799 467056170507064276868628573481728 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.169319344706652, 0.300345078312288], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 25, "curve_counts": [25, 1835, 80059, 3423739, 147029800, 6321392615, 271818492985, 11688201237859, 502592635284367, 21611482439590550], "curve_counts_str": "25 1835 80059 3423739 147029800 6321392615 271818492985 11688201237859 502592635284367 21611482439590550 ", "curves": ["y^2=14*x^6+4*x^5+9*x^4+11*x^3+7*x^2+7*x+25", "y^2=19*x^6+40*x^5+7*x^4+18*x^3+29*x^2+32*x+21", "y^2=x^6+2*x^4+12*x^3+5*x^2+35*x+33", "y^2=13*x^6+20*x^5+19*x^4+9*x^3+34*x^2+9*x+19", "y^2=16*x^6+16*x^5+12*x^4+8*x^3+12*x^2+19*x+33", "y^2=20*x^6+7*x^5+6*x^4+30*x^3+3*x^2+28*x+18"], "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": ["4.0.843141.1"], "geometric_splitting_field": "4.0.843141.1", "geometric_splitting_polynomials": [[339, 12, 38, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "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": 6, "label": "2.43.at_gr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.843141.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -19, 173, -817, 1849], "poly_str": "1 -19 173 -817 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -19, 87], "simple_distinct": ["2.43.at_gr"], "simple_factors": ["2.43.at_grA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.843141.1", "splitting_polynomials": [[339, 12, 38, -1, 1]], "twist_count": 2, "twists": [["2.43.t_gr", "2.1849.ap_dvh", 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": 4989, "zfv_singular_count": 0, "zfv_singular_primes": []}