# Stored data for abelian variety isogeny class 2.37.q_fi, downloaded from the LMFDB on 03 October 2025.
{"abvar_count": 2116, "abvar_counts": [2116, 1904400, 2527877284, 3522378240000, 4807587119338756, 6582746395262595600, 9012172682758580584804, 12337489359044385546240000, 16890054844853165880514809796, 23122484502999502322011284810000], "abvar_counts_str": "2116 1904400 2527877284 3522378240000 4807587119338756 6582746395262595600 9012172682758580584804 12337489359044385546240000 16890054844853165880514809796 23122484502999502322011284810000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.728426571754133, 0.728426571754133], "center_dim": 2, "curve_count": 54, "curve_counts": [54, 1390, 49902, 1879438, 69329574, 2565646270, 94933050462, 3512473032478, 129961747753494, 4808584546343950], "curve_counts_str": "54 1390 49902 1879438 69329574 2565646270 94933050462 3512473032478 129961747753494 4808584546343950 ", "curves": ["y^2=32*x^6+13*x^5+10*x^4+4*x^3+10*x^2+13*x+32", "y^2=3*x^6+28*x^5+21*x^4+27*x^3+36*x^2+3*x+30", "y^2=28*x^6+32*x^5+33*x^4+6*x^3+33*x^2+32*x+28", "y^2=35*x^6+x^5+7*x^4+7*x^3+7*x^2+x+35", "y^2=x^6+11*x^4+11*x^2+1", "y^2=19*x^6+22*x^5+30*x^4+26*x^3+30*x^2+22*x+19", "y^2=12*x^6+33*x^5+32*x^4+20*x^3+23*x^2+16*x+21", "y^2=27*x^6+21*x^4+21*x^2+27", "y^2=2*x^6+8*x^3+17", "y^2=22*x^6+13*x^5+36*x^4+4*x^3+36*x^2+13*x+22", "y^2=32*x^6+20*x^5+31*x^4+30*x^3+24*x+1", "y^2=30*x^6+21*x^5+29*x^4+14*x^3+11*x^2+2*x+7", "y^2=30*x^6+22*x^5+3*x^4+3*x^3+12*x^2+19*x+33", "y^2=18*x^6+5*x^5+5*x^4+15*x^3+5*x^2+5*x+18", "y^2=9*x^6+34*x^5+11*x^4+9*x^3+8*x^2+33*x+7", "y^2=3*x^6+22*x^5+21*x^4+28*x^3+21*x^2+22*x+3", "y^2=2*x^6+18*x^3+15", "y^2=26*x^6+36*x^5+34*x^4+26*x^3+15*x^2+18*x+26"], "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": ["2.0.84.1"], "geometric_splitting_field": "2.0.84.1", "geometric_splitting_polynomials": [[21, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 18, "label": "2.37.q_fi", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.84.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 16, 138, 592, 1369], "poly_str": "1 16 138 592 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, 16, 64], "simple_distinct": ["1.37.i"], "simple_factors": ["1.37.iA", "1.37.iB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.84.1", "splitting_polynomials": [[21, 0, 1]], "twist_count": 6, "twists": [["2.37.aq_fi", "2.1369.u_efe", 2], ["2.37.a_k", "2.1369.u_efe", 2], ["2.37.ai_bb", "2.50653.abcy_nuzy", 3], ["2.37.a_ak", "2.1874161.huy_xlfhu", 4], ["2.37.i_bb", "2.2565726409.aeooi_vvasbso", 6]]}