# Stored data for abelian variety isogeny class 2.73.aw_kh, downloaded from the LMFDB on 10 September 2025.
{"abvar_count": 3969, "abvar_counts": [3969, 28676025, 152174889216, 807030088475625, 4297757139061247169, 22901931807121208217600, 122044869619667279722909521, 650377809067703123830468775625, 3465863720918660212791307612326144, 18469587799151938816194835966351325625], "abvar_counts_str": "3969 28676025 152174889216 807030088475625 4297757139061247169 22901931807121208217600 122044869619667279722909521 650377809067703123830468775625 3465863720918660212791307612326144 18469587799151938816194835966351325625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.277387524566635, 0.277387524566635], "center_dim": 2, "curve_count": 52, "curve_counts": [52, 5380, 391174, 28418308, 2073134932, 151333458190, 11047385446324, 806460004164868, 58871586697559062, 4297625835989992900], "curve_counts_str": "52 5380 391174 28418308 2073134932 151333458190 11047385446324 806460004164868 58871586697559062 4297625835989992900 ", "curves": ["y^2=21*x^6+44*x^5+8*x^4+21*x^3+36*x^2+15*x+43", "y^2=5*x^6+50*x^5+58*x^4+42*x^3+33*x^2+23*x+11", "y^2=18*x^6+12*x^5+22*x^4+40*x^3+5*x^2+70*x+67", "y^2=59*x^6+3*x^5+14*x^4+56*x^3+63*x^2+6*x+20", "y^2=47*x^6+21*x^5+9*x^4+62*x^3+9*x^2+21*x+47", "y^2=11*x^6+60*x^5+29*x^4+23*x^3+65*x^2+43*x+2", "y^2=x^6+x^3+46", "y^2=21*x^6+27*x^5+67*x^4+58*x^3+70*x^2+25*x+30", "y^2=59*x^6+31*x^5+46*x^4+63*x^3+36*x^2+47*x+44", "y^2=45*x^6+25*x^5+29*x^4+9*x^3+13*x^2+65*x+21", "y^2=24*x^6+42*x^5+12*x^4+70*x^3+66*x^2+36*x+62", "y^2=66*x^6+37*x^5+57*x^4+10*x^3+41*x^2+2*x+17", "y^2=17*x^6+44*x^5+23*x^4+45*x^3+3*x^2+22*x+63", "y^2=12*x^6+58*x^5+61*x^4+42*x^3+18*x^2+21*x+69", "y^2=5*x^6+59*x^5+63*x^4+62*x^3+11*x^2+40*x+47", "y^2=15*x^6+45*x^5+8*x^4+45*x^3+46*x^2+5*x+40", "y^2=x^6+66*x^5+42*x^4+68*x^3+33*x^2+40*x+70", "y^2=13*x^6+62*x^5+49*x^4+16*x^3+x^2+47*x+59", "y^2=36*x^6+23*x^5+20*x^4+59*x^3+56*x^2+5", "y^2=34*x^6+65*x^5+44*x^4+21*x^3+63*x^2+2*x+60", "y^2=61*x^6+65*x^5+72*x^4+12*x^3+20*x^2+40*x+42", "y^2=65*x^6+67*x^5+55*x^4+49*x^3+2*x^2+54*x+65", "y^2=29*x^6+71*x^5+22*x^4+5*x^3+66*x^2+55*x+53", "y^2=68*x^6+17*x^5+27*x^4+4*x^3+45*x^2+57*x+53", "y^2=x^6+x^3+64", "y^2=29*x^6+68*x^5+34*x^4+30*x^3+36*x^2+61*x+54", "y^2=27*x^6+24*x^5+30*x^4+34*x^3+33*x^2+67*x+9", "y^2=26*x^6+72*x^5+35*x^4+25*x^3+69*x^2+x+28", "y^2=56*x^6+53*x^5+48*x^4+29*x^3+62*x^2+15*x+13", "y^2=32*x^6+64*x^5+26*x^4+52*x^3+53*x^2+18*x+38", "y^2=56*x^6+56*x^5+55*x^4+17*x^3+64*x^2+14*x+7", "y^2=x^6+37*x^5+53*x^4+11*x^3+7*x^2+8*x+9", "y^2=x^6+67*x^3+3", "y^2=11*x^6+41*x^5+64*x^4+52*x^3+11*x^2+66*x+60", "y^2=63*x^6+66*x^5+31*x^4+4*x^3+53*x^2+10*x+51", "y^2=37*x^6+55*x^5+69*x^4+64*x^3+54*x^2+62*x+14", "y^2=55*x^6+32*x^5+67*x^4+11*x^3+23*x^2+16*x+71", "y^2=36*x^6+41*x^5+5*x^4+58*x^3+29*x^2+x+61", "y^2=6*x^6+66*x^5+64*x^4+4*x^3+6*x^2+38*x+27", "y^2=36*x^6+49*x^5+62*x^4+23*x^3+39*x^2+6*x+12", "y^2=27*x^6+3*x^5+48*x^4+62*x^3+12*x^2+23*x+70", "y^2=39*x^6+67*x^4+33*x^3+46*x^2+59", "y^2=46*x^6+39*x^5+55*x^4+17*x^3+67*x^2+53*x+72", "y^2=17*x^6+54*x^5+36*x^4+6*x^3+48*x^2+23*x+43", "y^2=x^6+19*x^3+70", "y^2=43*x^6+65*x^5+55*x^4+16*x^3+10*x^2+46*x+70", "y^2=32*x^6+10*x^5+52*x^4+27*x^3+52*x^2+10*x+32"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 47, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 47, "label": "2.73.aw_kh", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.19.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -22, 267, -1606, 5329], "poly_str": "1 -22 267 -1606 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, -22, 121], "simple_distinct": ["1.73.al"], "simple_factors": ["1.73.alA", "1.73.alB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.73.a_z", "2.5329.by_qrz", 2], ["2.73.w_kh", "2.5329.by_qrz", 2], ["2.73.l_bw", "2.389017.dey_egjzy", 3], ["2.73.a_az", "2.28398241.bdru_ngorkl", 4], ["2.73.al_bw", "2.151334226289.abrsgi_cebgcuxgo", 6]]}