# Stored data for abelian variety isogeny class 2.43.as_fy, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1212, "abvar_counts": [1212, 3388752, 6334199244, 11684254235904, 21607828357647372, 39958907340318779088, 73885513310466782937468, 136614152552087068741619712, 252599365903022147171363180508, 467056170859367844534948168702672], "abvar_counts_str": "1212 3388752 6334199244 11684254235904 21607828357647372 39958907340318779088 73885513310466782937468 136614152552087068741619712 252599365903022147171363180508 467056170859367844534948168702672 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0890013239984745, 0.365066878507706], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 26, "curve_counts": [26, 1834, 79670, 3417646, 146983586, 6321248602, 271819184894, 11688211128094, 502592676262346, 21611482455892234], "curve_counts_str": "26 1834 79670 3417646 146983586 6321248602 271819184894 11688211128094 502592676262346 21611482455892234 ", "curves": ["y^2=4*x^6+36*x^5+35*x^4+33*x^3+8*x^2+8*x+42", "y^2=2*x^6+6*x^5+35*x^4+37*x^3+2*x^2+10*x+33", "y^2=20*x^6+25*x^5+x^4+8*x^3+4*x^2+37*x+20", "y^2=5*x^6+12*x^5+2*x^4+26*x^3+8*x^2+15*x+19", "y^2=5*x^6+36*x^5+2*x^4+21*x^3+33*x^2+16*x+35", "y^2=35*x^5+12*x^4+17*x^3+19*x^2+3*x+8", "y^2=37*x^6+26*x^5+19*x^4+31*x^3+28*x^2+39*x+42", "y^2=20*x^6+36*x^5+40*x^4+36*x^3+37*x^2+8*x+10", "y^2=22*x^6+3*x^5+31*x^4+14*x^3+2*x^2+35*x+12", "y^2=15*x^6+37*x^5+40*x^4+22*x^3+30*x^2+8*x+5", "y^2=27*x^6+38*x^5+18*x^4+30*x^3+40*x+38", "y^2=30*x^6+7*x^5+32*x^4+38*x^3+9*x^2+10*x+15", "y^2=33*x^6+11*x^5+23*x^4+42*x^3+40*x^2+21*x+12", "y^2=17*x^6+34*x^5+5*x^4+5*x^3+27*x^2+14*x+39", "y^2=34*x^6+14*x^5+4*x^4+28*x^3+28*x^2+x+25", "y^2=27*x^6+5*x^5+9*x^4+33*x^3+5*x^2+28*x+42", "y^2=28*x^6+11*x^5+x^4+18*x^3+10*x^2+25*x+30", "y^2=29*x^6+31*x^5+35*x^4+19*x^3+7*x^2+11*x+36", "y^2=26*x^6+22*x^5+18*x^4+x^3+x^2+23*x+35", "y^2=20*x^6+4*x^5+31*x^4+24*x^3+3*x^2+18*x+32", "y^2=18*x^6+22*x^5+17*x^4+16*x^3+23*x^2+2*x", "y^2=21*x^5+16*x^4+35*x^3+17*x^2+11*x+34", "y^2=27*x^6+35*x^5+16*x^4+35*x^3+23*x^2+11*x+22", "y^2=12*x^6+25*x^5+40*x^4+24*x^3+9*x^2+9*x+22"], "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": 3, "g": 2, "galois_groups": ["4T1"], "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": ["4T1"], "geometric_number_fields": ["4.0.316368.2"], "geometric_splitting_field": "4.0.316368.2", "geometric_splitting_polynomials": [[117, 0, 39, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.43.as_fy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.316368.2"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -18, 154, -774, 1849], "poly_str": "1 -18 154 -774 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -18, 68], "simple_distinct": ["2.43.as_fy"], "simple_factors": ["2.43.as_fyA"], "simple_multiplicities": [1], "singular_primes": ["2,15*F+4*V-71"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.316368.2", "splitting_polynomials": [[117, 0, 39, 0, 1]], "twist_count": 2, "twists": [["2.43.s_fy", "2.1849.aq_ari", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1872, "zfv_singular_count": 2, "zfv_singular_primes": ["2,15*F+4*V-71"]}