# Stored data for abelian variety isogeny class 2.37.a_ace, downloaded from the LMFDB on 16 September 2026.
{"abvar_count": 1314, "abvar_counts": [1314, 1726596, 2565780786, 3510991527696, 4808584499012514, 6583231041806777796, 9012061295943483597426, 12337537133263511361945600, 16890053810563042984339857954, 23122484884143430253841128600196], "abvar_counts_str": "1314 1726596 2565780786 3510991527696 4808584499012514 6583231041806777796 9012061295943483597426 12337537133263511361945600 16890053810563042984339857954 23122484884143430253841128600196 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.113391364009214, 0.886608635990786], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 38, "curve_counts": [38, 1258, 50654, 1873366, 69343958, 2565835162, 94931877134, 3512486633758, 129961739795078, 4808584625607178], "curve_counts_str": "38 1258 50654 1873366 69343958 2565835162 94931877134 3512486633758 129961739795078 4808584625607178 ", "curves": ["y^2=15*x^6+13*x^5+27*x^4+3*x^3+20*x^2+16*x+20", "y^2=30*x^6+26*x^5+17*x^4+6*x^3+3*x^2+32*x+3", "y^2=36*x^6+11*x^5+23*x^4+6*x^3+24*x^2+11*x+6", "y^2=35*x^6+22*x^5+9*x^4+12*x^3+11*x^2+22*x+12", "y^2=24*x^6+3*x^5+24*x^4+2*x^3+6*x^2+8*x+22", "y^2=11*x^6+6*x^5+11*x^4+4*x^3+12*x^2+16*x+7", "y^2=17*x^6+12*x^5+25*x^4+7*x^3+31*x^2+x+8", "y^2=34*x^6+24*x^5+13*x^4+14*x^3+25*x^2+2*x+16", "y^2=4*x^6+x^5+30*x^4+16*x^3+32*x^2+30*x+24", "y^2=8*x^6+2*x^5+23*x^4+32*x^3+27*x^2+23*x+11", "y^2=6*x^6+17*x^5+16*x^4+11*x^3+3*x^2+15", "y^2=12*x^6+34*x^5+32*x^4+22*x^3+6*x^2+30", "y^2=12*x^6+8*x^5+11*x^4+5*x^3+25*x^2+13*x+13", "y^2=24*x^6+16*x^5+22*x^4+10*x^3+13*x^2+26*x+26", "y^2=11*x^6+30*x^5+31*x^4+6*x^3+13*x^2+5*x+31", "y^2=22*x^6+23*x^5+25*x^4+12*x^3+26*x^2+10*x+25", "y^2=13*x^6+x^5+34*x^4+19*x^3+5*x^2+36*x+23", "y^2=26*x^6+2*x^5+31*x^4+x^3+10*x^2+35*x+9", "y^2=18*x^6+3*x^5+28*x^4+30*x^3+17*x^2+22*x+9", "y^2=36*x^6+6*x^5+19*x^4+23*x^3+34*x^2+7*x+18", "y^2=31*x^6+11*x^5+33*x^4+22*x^3+26*x^2+17*x+28", "y^2=25*x^6+22*x^5+29*x^4+7*x^3+15*x^2+34*x+19", "y^2=28*x^6+20*x^5+9*x^4+9*x^3+28*x^2+9", "y^2=19*x^6+3*x^5+18*x^4+18*x^3+19*x^2+18"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 4, "g": 2, "galois_groups": ["4T2"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.260.1"], "geometric_splitting_field": "2.0.260.1", "geometric_splitting_polynomials": [[65, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.37.a_ace", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.1081600.7"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -56, 0, 1369], "poly_str": "1 0 -56 0 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, 0, -130], "simple_distinct": ["2.37.a_ace"], "simple_factors": ["2.37.a_aceA"], "simple_multiplicities": [1], "singular_primes": ["3,2*F^2+V+2", "3,8*F-6*V-2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1081600.7", "splitting_polynomials": [[1089, 0, -64, 0, 1]], "twist_count": 4, "twists": [["2.37.a_ce", "2.1874161.abeq_iohes", 4], ["2.37.ag_s", "2.3512479453921.psnbo_drjfftdksc", 8], ["2.37.g_s", "2.3512479453921.psnbo_drjfftdksc", 8]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 324, "zfv_singular_count": 4, "zfv_singular_primes": ["3,2*F^2+V+2", "3,8*F-6*V-2"]}