# Stored data for abelian variety isogeny class 2.43.as_gg, downloaded from the LMFDB on 31 May 2026.
{"abvar_count": 1220, "abvar_counts": [1220, 3420880, 6368767220, 11702419974400, 21613226197800500, 39959630784922749520, 73885410836429622092420, 136614084626603791880294400, 252599352113729074811305942820, 467056167777397921243392440722000], "abvar_counts_str": "1220 3420880 6368767220 11702419974400 21613226197800500 39959630784922749520 73885410836429622092420 136614084626603791880294400 252599352113729074811305942820 467056167777397921243392440722000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.172484797802574, 0.327515202197426], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 26, "curve_counts": [26, 1850, 80102, 3422958, 147020306, 6321363050, 271818807902, 11688205316638, 502592648826026, 21611482313284250], "curve_counts_str": "26 1850 80102 3422958 147020306 6321363050 271818807902 11688205316638 502592648826026 21611482313284250 ", "curves": ["y^2=29*x^6+25*x^5+28*x^4+19*x^3+29*x^2+42*x+37", "y^2=29*x^6+5*x^5+28*x^4+34*x^3+3*x^2+33*x+42", "y^2=4*x^6+14*x^5+42*x^4+40*x^3+36*x^2+39*x+26", "y^2=11*x^6+9*x^5+34*x^4+31*x^3+12*x^2+20*x+29", "y^2=29*x^6+37*x^5+29*x^4+29*x^3+33*x^2+15*x+22", "y^2=27*x^6+3*x^5+31*x^4+28*x^3+31*x^2+30*x+22", "y^2=14*x^6+28*x^5+40*x^4+26*x^3+39*x^2+7*x+3", "y^2=34*x^6+10*x^5+34*x^4+13*x^3+12*x^2+29*x+34", "y^2=32*x^6+40*x^5+26*x^4+29*x^3+19*x^2+42*x+26", "y^2=39*x^6+22*x^5+25*x^4+26*x^3+30*x^2+24*x+7", "y^2=12*x^6+9*x^5+4*x^4+36*x^3+42*x^2+39*x+20", "y^2=24*x^6+39*x^5+30*x^4+19*x^2+5*x+3", "y^2=11*x^6+37*x^5+38*x^4+9*x^3+23*x^2+33*x+29", "y^2=19*x^6+17*x^5+14*x^4+15*x^3+32*x^2+39*x+30", "y^2=11*x^6+5*x^5+40*x^4+21*x^3+9*x^2+38*x+18", "y^2=28*x^6+38*x^5+4*x^4+7*x^3+39*x^2+3", "y^2=35*x^6+33*x^5+5*x^4+14*x^3+2*x^2+32*x+42", "y^2=20*x^6+27*x^5+31*x^4+8*x^3+42*x^2+40*x+15", "y^2=17*x^6+10*x^5+40*x^4+38*x^3+21*x^2+12*x+19", "y^2=37*x^6+19*x^5+26*x^4+14*x^3+40*x+15", "y^2=42*x^6+3*x^5+13*x^4+13*x^2+40*x+42", "y^2=13*x^6+12*x^5+15*x^4+6*x^3+7*x^2+15*x+19", "y^2=12*x^6+2*x^5+13*x^4+12*x^3+7*x^2+8*x+17", "y^2=x^6+17*x^5+5*x^4+34*x^3+41*x^2+40*x+27", "y^2=35*x^6+37*x^5+28*x^4+10*x^3+13*x^2+8*x+30", "y^2=37*x^6+33*x^5+16*x^4+28*x^3+7*x^2+16*x+31", "y^2=30*x^6+35*x^5+15*x^4+13*x^3+6*x^2+29*x+19", "y^2=41*x^6+28*x^5+13*x^4+24*x^3+5*x^2+28*x+18", "y^2=32*x^6+22*x^5+11*x^4+14*x^3+3*x^2+15*x+32", "y^2=41*x^6+19*x^5+22*x^4+5*x^3+x+25", "y^2=40*x^6+25*x^5+14*x^4+28*x^3+42*x^2+7*x+39", "y^2=8*x^6+39*x^5+26*x^4+29*x^3+23*x^2+31*x+2"], "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": 6, "g": 2, "galois_groups": ["4T2"], "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": 4, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.20.1"], "geometric_splitting_field": "2.0.20.1", "geometric_splitting_polynomials": [[5, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.43.as_gg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.400.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 5], [1, 3, 1, 20]], "poly": [1, -18, 162, -774, 1849], "poly_str": "1 -18 162 -774 1849 ", "primitive_models": [], "principal_polarization_count": 32, "q": 43, "real_poly": [1, -18, 76], "simple_distinct": ["2.43.as_gg"], "simple_factors": ["2.43.as_ggA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-18*F-5*V+86", "19,83*F+21*V-366"], "size": 43, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.400.1", "splitting_polynomials": [[1, 0, 3, 0, 1]], "twist_count": 4, "twists": [["2.43.s_gg", "2.1849.a_dby", 2], ["2.43.s_gg", "2.3418801.gdw_yksmw", 4], ["2.43.a_acy", "2.11688200277601.lasfc_fmivpskenu", 8], ["2.43.a_cy", "2.11688200277601.lasfc_fmivpskenu", 8]], "weak_equivalence_count": 6, "zfv_index": 76, "zfv_index_factorization": [[2, 2], [19, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 20, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 5776, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F^2-18*F-5*V+86", "19,83*F+21*V-366"]}