# Stored data for abelian variety isogeny class 2.37.ag_df, downloaded from the LMFDB on 21 September 2025.
{"abvar_count": 1225, "abvar_counts": [1225, 2059225, 2596921600, 3506911655625, 4806395848830625, 6582991369273446400, 9012176540244727333225, 12337522712663214229655625, 16890049171751646541239097600, 23122482604779810569801707155625], "abvar_counts_str": "1225 2059225 2596921600 3506911655625 4806395848830625 6582991369273446400 9012176540244727333225 12337522712663214229655625 16890049171751646541239097600 23122482604779810569801707155625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.420687118443938, 0.420687118443938], "center_dim": 2, "curve_count": 32, "curve_counts": [32, 1500, 51266, 1871188, 69312392, 2565741750, 94933091096, 3512482528228, 129961704101402, 4808584151587500], "curve_counts_str": "32 1500 51266 1871188 69312392 2565741750 94933091096 3512482528228 129961704101402 4808584151587500 ", "curves": ["y^2=9*x^6+24*x^5+3*x^4+20*x^3+30*x^2+9*x+25", "y^2=35*x^6+3*x^5+27*x^4+12*x^3+7*x^2+27*x+20", "y^2=23*x^6+29*x^5+36*x^4+35*x^3+10*x^2+14*x+14", "y^2=15*x^6+8*x^5+32*x^4+21*x^3+14*x^2+32*x+6", "y^2=29*x^6+36*x^5+33*x^4+5*x^3+23*x^2+16*x+28", "y^2=7*x^6+34*x^5+15*x^4+34*x^3+4*x^2+x+22", "y^2=5*x^6+26*x^5+4*x^4+29*x^3+34*x^2+10*x+32", "y^2=9*x^6+21*x^5+5*x^4+21*x^3+5*x^2+21*x+9", "y^2=22*x^6+2*x^5+11*x^4+21*x^3+3*x^2+24*x+35", "y^2=32*x^6+24*x^5+6*x^4+16*x^3+29*x^2+18*x+5", "y^2=18*x^6+8*x^5+4*x^4+19*x^3+12*x^2+35*x+5", "y^2=6*x^6+15*x^5+21*x^4+36*x^3+27*x^2+23*x+35", "y^2=4*x^6+16*x^5+18*x^4+20*x^3+35*x^2+34*x+34", "y^2=31*x^6+20*x^5+23*x^4+25*x^3+24*x^2+18*x+23", "y^2=24*x^6+11*x^5+23*x^4+35*x^3+22*x^2+3*x+32", "y^2=12*x^6+9*x^5+24*x^4+3*x^3+28*x^2+29*x+26", "y^2=27*x^6+3*x^5+19*x^4+10*x^3+34*x^2+22*x+1", "y^2=21*x^6+27*x^5+13*x^3+10*x^2+27*x+16", "y^2=14*x^6+16*x^5+16*x^4+27*x^2+34*x+8", "y^2=6*x^6+12*x^5+26*x^4+4*x^3+20*x^2+4*x+22", "y^2=8*x^6+28*x^5+18*x^4+31*x^3+17*x^2+30*x+31"], "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": ["2.0.139.1"], "geometric_splitting_field": "2.0.139.1", "geometric_splitting_polynomials": [[35, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 21, "label": "2.37.ag_df", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.139.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -6, 83, -222, 1369], "poly_str": "1 -6 83 -222 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -6, 9], "simple_distinct": ["1.37.ad"], "simple_factors": ["1.37.adA", "1.37.adB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.139.1", "splitting_polynomials": [[35, -1, 1]], "twist_count": 6, "twists": [["2.37.a_cn", "2.1369.fa_khv", 2], ["2.37.g_df", "2.1369.fa_khv", 2], ["2.37.d_abc", "2.50653.xo_lcju", 3], ["2.37.a_acn", "2.1874161.aekk_nbbvf", 4], ["2.37.ad_abc", "2.2565726409.wsa_quvxbny", 6]]}