# Stored data for abelian variety isogeny class 2.47.au_hi, downloaded from the LMFDB on 07 September 2025.
{"abvar_count": 1440, "abvar_counts": [1440, 4838400, 10839618720, 23837829120000, 52604614020247200, 116191855409151513600, 256666975253996314776480, 566977454963171156459520000, 1252453075192867082464142508960, 2766668728070394039372991378560000], "abvar_counts_str": "1440 4838400 10839618720 23837829120000 52604614020247200 116191855409151513600 256666975253996314776480 566977454963171156459520000 1252453075192867082464142508960 2766668728070394039372991378560000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.160736311099588, 0.301698511018155], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 28, "curve_counts": [28, 2190, 104404, 4885118, 229368908, 10779249870, 506623098884, 23811290125438, 1119130526148988, 52599132542071950], "curve_counts_str": "28 2190 104404 4885118 229368908 10779249870 506623098884 23811290125438 1119130526148988 52599132542071950 ", "curves": ["y^2=30*x^6+43*x^5+34*x^4+34*x^3+33*x^2+5*x+24", "y^2=2*x^6+28*x^5+21*x^4+4*x^3+2*x^2+x+8", "y^2=27*x^6+9*x^5+45*x^3+16*x+17", "y^2=23*x^6+43*x^5+18*x^4+43*x^3+34*x^2+13*x+22", "y^2=5*x^6+21*x^5+14*x^4+25*x^3+14*x^2+21*x+5", "y^2=26*x^6+6*x^5+14*x^4+2*x^3+23*x^2+21*x+5", "y^2=6*x^6+28*x^5+6*x^4+8*x^3+6*x^2+28*x+6", "y^2=46*x^6+2*x^5+22*x^4+3*x^3+22*x^2+2*x+46", "y^2=45*x^6+x^5+19*x^4+5*x^3+19*x^2+x+45", "y^2=20*x^6+11*x^5+36*x^4+18*x^3+36*x^2+11*x+20", "y^2=24*x^6+13*x^5+38*x^4+43*x^3+38*x^2+13*x+24", "y^2=19*x^6+6*x^5+7*x^4+39*x^3+16*x^2+14*x+43", "y^2=3*x^6+42*x^5+46*x^4+19*x^3+30*x^2+12*x+28", "y^2=38*x^6+7*x^5+45*x^4+26*x^3+13*x^2+2*x+10", "y^2=29*x^6+26*x^5+39*x^4+23*x^3+39*x^2+26*x+29", "y^2=43*x^6+38*x^5+2*x^4+5*x^3+2*x^2+38*x+43", "y^2=27*x^6+6*x^5+13*x^4+16*x^3+46*x^2+17*x+14", "y^2=23*x^6+21*x^5+27*x^4+27*x^2+21*x+23", "y^2=4*x^6+x^5+11*x^3+21*x+28", "y^2=35*x^6+29*x^5+5*x^4+46*x^3+14*x^2+7*x+6", "y^2=30*x^6+41*x^5+10*x^4+24*x^3+10*x^2+41*x+30", "y^2=25*x^6+19*x^5+29*x^4+25*x^3+44*x^2+11*x+23", "y^2=9*x^6+32*x^5+16*x^4+38*x^3+16*x^2+32*x+9", "y^2=43*x^6+x^5+32*x^4+42*x^3+4*x^2+21*x+26", "y^2=33*x^6+13*x^5+29*x^3+23*x^2+45*x+26", "y^2=26*x^6+11*x^5+28*x^4+25*x^3+27*x^2+20*x+23", "y^2=23*x^6+8*x^5+39*x^4+30*x^3+10*x^2+36*x+41", "y^2=10*x^6+45*x^5+5*x^4+32*x^3+5*x^2+45*x+10", "y^2=25*x^6+6*x^5+38*x^4+25*x^3+7*x^2+35*x+31", "y^2=13*x^6+36*x^5+8*x^4+23*x^3+42*x^2+17*x+43", "y^2=41*x^6+11*x^5+24*x^3+18*x^2+x+38", "y^2=29*x^6+40*x^5+26*x^4+9*x^3+20*x^2+22*x+43", "y^2=33*x^6+11*x^5+x^4+x^3+32*x^2+31*x+15", "y^2=23*x^6+16*x^5+45*x^4+43*x^3+41*x^2+44*x+5", "y^2=16*x^6+8*x^5+36*x^4+7*x^3+23*x^2+38*x+23", "y^2=26*x^6+7*x^5+8*x^4+44*x^3+8*x^2+7*x+26", "y^2=31*x^6+15*x^5+42*x^4+35*x^3+5*x^2+40*x+2", "y^2=43*x^6+26*x^5+34*x^4+x^3+34*x^2+26*x+43", "y^2=6*x^6+4*x^5+20*x^4+20*x^3+7*x^2+38*x+12", "y^2=22*x^6+39*x^5+25*x^4+24*x^3+16*x^2+17*x+36", "y^2=30*x^6+12*x^5+38*x^4+35*x^3+38*x^2+12*x+30", "y^2=46*x^6+29*x^5+9*x^4+9*x^3+9*x^2+29*x+46", "y^2=11*x^6+41*x^5+40*x^4+30*x^3+40*x^2+41*x+11", "y^2=31*x^6+11*x^5+27*x^4+15*x^3+46*x^2+12*x", "y^2=38*x^6+23*x^5+46*x^4+x^3+44*x^2+19*x+39", "y^2=15*x^6+3*x^5+35*x^4+38*x^3+23*x^2+29*x+29", "y^2=15*x^6+14*x^5+33*x^3+14*x+15", "y^2=19*x^6+44*x^5+21*x^4+3*x^3+7*x^2+21*x+31", "y^2=41*x^6+35*x^5+28*x^4+27*x^3+8*x^2+23*x+10", "y^2=13*x^6+13*x^5+27*x^4+34*x^3+37*x^2+15*x+31", "y^2=39*x^6+21*x^5+38*x^4+31*x^3+6*x^2+40*x+44", "y^2=15*x^6+45*x^5+18*x^4+13*x^3+14*x^2+22*x+44", "y^2=19*x^6+4*x^5+36*x^4+21*x^3+4*x^2+25*x+38", "y^2=26*x^6+45*x^5+17*x^4+9*x^3+32*x^2+23*x+15"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 14, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.31.1"], "geometric_splitting_field": "4.0.116281.1", "geometric_splitting_polynomials": [[25, 0, 21, 0, 1]], "group_structure_count": 6, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 54, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 54, "label": "2.47.au_hi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.11.1", "2.0.31.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -20, 190, -940, 2209], "poly_str": "1 -20 190 -940 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, -20, 96], "simple_distinct": ["1.47.am", "1.47.ai"], "simple_factors": ["1.47.amA", "1.47.aiA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,9*F-7"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.116281.1", "splitting_polynomials": [[25, 0, 21, 0, 1]], "twist_count": 4, "twists": [["2.47.ae_ac", "2.2209.au_eig", 2], ["2.47.e_ac", "2.2209.au_eig", 2], ["2.47.u_hi", "2.2209.au_eig", 2]], "weak_equivalence_count": 24, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 5456, "zfv_singular_count": 2, "zfv_singular_primes": ["2,9*F-7"]}