# Stored data for abelian variety isogeny class 2.37.aq_fi, downloaded from the LMFDB on 10 November 2025.
{"abvar_count": 900, "abvar_counts": [900, 1904400, 2604060900, 3522378240000, 4809582006322500, 6582746395262595600, 9011949910299512820900, 12337489359044385546240000, 16890052776273987134543856900, 23122484502999502322011284810000], "abvar_counts_str": "900 1904400 2604060900 3522378240000 4809582006322500 6582746395262595600 9011949910299512820900 12337489359044385546240000 16890052776273987134543856900 23122484502999502322011284810000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.271573428245867, 0.271573428245867], "center_dim": 2, "curve_count": 22, "curve_counts": [22, 1390, 51406, 1879438, 69358342, 2565646270, 94930703806, 3512473032478, 129961731836662, 4808584546343950], "curve_counts_str": "22 1390 51406 1879438 69358342 2565646270 94930703806 3512473032478 129961731836662 4808584546343950 ", "curves": ["y^2=27*x^6+26*x^5+20*x^4+8*x^3+20*x^2+26*x+27", "y^2=6*x^6+19*x^5+5*x^4+17*x^3+35*x^2+6*x+23", "y^2=19*x^6+27*x^5+29*x^4+12*x^3+29*x^2+27*x+19", "y^2=36*x^6+19*x^5+22*x^4+22*x^3+22*x^2+19*x+36", "y^2=19*x^6+24*x^4+24*x^2+19", "y^2=28*x^6+11*x^5+15*x^4+13*x^3+15*x^2+11*x+28", "y^2=24*x^6+29*x^5+27*x^4+3*x^3+9*x^2+32*x+5", "y^2=17*x^6+5*x^4+5*x^2+17", "y^2=x^6+4*x^3+27", "y^2=11*x^6+25*x^5+18*x^4+2*x^3+18*x^2+25*x+11", "y^2=27*x^6+3*x^5+25*x^4+23*x^3+11*x+2", "y^2=23*x^6+5*x^5+21*x^4+28*x^3+22*x^2+4*x+14", "y^2=23*x^6+7*x^5+6*x^4+6*x^3+24*x^2+x+29", "y^2=36*x^6+10*x^5+10*x^4+30*x^3+10*x^2+10*x+36", "y^2=23*x^6+17*x^5+24*x^4+23*x^3+4*x^2+35*x+22", "y^2=6*x^6+7*x^5+5*x^4+19*x^3+5*x^2+7*x+6", "y^2=x^6+9*x^3+26", "y^2=15*x^6+35*x^5+31*x^4+15*x^3+30*x^2+36*x+15"], "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.aq_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.ai"], "simple_factors": ["1.37.aiA", "1.37.aiB"], "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.a_k", "2.1369.u_efe", 2], ["2.37.q_fi", "2.1369.u_efe", 2], ["2.37.i_bb", "2.50653.bcy_nuzy", 3], ["2.37.a_ak", "2.1874161.huy_xlfhu", 4], ["2.37.ai_bb", "2.2565726409.aeooi_vvasbso", 6]]}