# Stored data for abelian variety isogeny class 2.67.am_go, downloaded from the LMFDB on 21 September 2025.
{"abvar_count": 3844, "abvar_counts": [3844, 21049744, 91055476516, 406042489046016, 1822648562427420484, 8182650414573948931216, 36732254549099369654648164, 164890991168865833979568472064, 740195518048376059426226225754244, 3322737653639590642194893575516775824], "abvar_counts_str": "3844 21049744 91055476516 406042489046016 1822648562427420484 8182650414573948931216 36732254549099369654648164 164890991168865833979568472064 740195518048376059426226225754244 3322737653639590642194893575516775824 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.380553124364199, 0.380553124364199], "center_dim": 2, "curve_count": 56, "curve_counts": [56, 4686, 302744, 20149870, 1349984936, 90457625022, 6060716453960, 406067757377374, 27206534550360728, 1822837800128167086], "curve_counts_str": "56 4686 302744 20149870 1349984936 90457625022 6060716453960 406067757377374 27206534550360728 1822837800128167086 ", "curves": ["y^2=12*x^6+46*x^5+34*x^4+61*x^3+34*x^2+46*x+12", "y^2=66*x^6+36*x^5+5*x^4+9*x^3+8*x^2+26*x+18", "y^2=57*x^6+39*x^5+35*x^4+50*x^3+14*x^2+18*x+19", "y^2=6*x^6+12*x^5+66*x^4+64*x^3+60*x^2+54*x+21", "y^2=56*x^6+63*x^5+57*x^4+65*x^3+35*x^2+40*x+27", "y^2=22*x^6+x^5+30*x^4+55*x^3+56*x^2+60*x+26", "y^2=26*x^6+41*x^5+25*x^4+53*x^3+13*x^2+36*x+26", "y^2=28*x^6+2*x^5+52*x^4+42*x^3+56*x^2+66*x+6", "y^2=15*x^6+22*x^4+45*x^3+47*x^2+3*x+15", "y^2=16*x^6+7*x^5+54*x^4+46*x^3+28*x^2+8*x", "y^2=45*x^6+51*x^4+51*x^2+45", "y^2=64*x^6+19*x^5+39*x^4+50*x^3+13*x^2+53*x+32", "y^2=41*x^6+51*x^5+10*x^4+62*x^3+5*x^2+18*x+24", "y^2=9*x^6+18*x^5+49*x^4+10*x^3+20*x^2+34*x+59", "y^2=56*x^6+43*x^5+45*x^4+45*x^3+66*x^2+30*x+17", "y^2=19*x^6+32*x^5+3*x^4+65*x^3+45*x^2+18*x+38", "y^2=62*x^5+45*x^4+63*x^3+52*x^2+46*x+1", "y^2=34*x^6+59*x^5+38*x^4+14*x^3+58*x^2+35*x+63", "y^2=8*x^6+45*x^5+35*x^4+2*x^3+8*x^2+45*x+31", "y^2=27*x^6+42*x^4+16*x^3+58*x^2+27*x+28"], "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": ["2.0.232.1"], "geometric_splitting_field": "2.0.232.1", "geometric_splitting_polynomials": [[58, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 20, "label": "2.67.am_go", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.232.1"], "p": 67, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -12, 170, -804, 4489], "poly_str": "1 -12 170 -804 4489 ", "primitive_models": [], "q": 67, "real_poly": [1, -12, 36], "simple_distinct": ["1.67.ag"], "simple_factors": ["1.67.agA", "1.67.agB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.232.1", "splitting_polynomials": [[58, 0, 1]], "twist_count": 6, "twists": [["2.67.a_du", "2.4489.ho_bbms", 2], ["2.67.m_go", "2.4489.ho_bbms", 2], ["2.67.g_abf", "2.300763.cye_dlzru", 3], ["2.67.a_adu", "2.20151121.abwe_dlbikk", 4], ["2.67.ag_abf", "2.90458382169.abrcbc_bojpjddxm", 6]]}