# Stored data for abelian variety isogeny class 2.31.m_dq, downloaded from the LMFDB on 15 January 2026.
{"abvar_count": 1440, "abvar_counts": [1440, 967680, 871547040, 854484664320, 819690442596000, 787636582701696000, 756944698218663468960, 727423102746576039444480, 699053793340948402071929760, 671790480851587992898292352000], "abvar_counts_str": "1440 967680 871547040 854484664320 819690442596000 787636582701696000 756944698218663468960 727423102746576039444480 699053793340948402071929760 671790480851587992898292352000 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.616954024640961, 0.755134921236746], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 44, "curve_counts": [44, 1006, 29252, 925246, 28631324, 887474158, 27512641844, 852891015166, 26439628716812, 819628228457326], "curve_counts_str": "44 1006 29252 925246 28631324 887474158 27512641844 852891015166 26439628716812 819628228457326 ", "curves": ["y^2=15*x^6+11*x^5+26*x^4+11*x^3+11*x^2+21*x+30", "y^2=13*x^6+13*x^5+23*x^4+10*x^3+23*x^2+13*x+13", "y^2=x^6+14*x^5+20*x^4+23*x^3+28*x^2+16*x+14", "y^2=8*x^6+17*x^5+x^4+27*x^3+x^2+17*x+8", "y^2=8*x^6+30*x^5+16*x^4+4*x^3+8*x^2+23*x+1", "y^2=5*x^6+14*x^5+18*x^4+7*x^3+18*x^2+14*x+5", "y^2=11*x^6+24*x^5+14*x^4+6*x^3+19*x^2+17*x+21", "y^2=10*x^6+4*x^5+9*x^4+6*x^3+14*x^2+25*x+22", "y^2=28*x^6+30*x^5+23*x^4+22*x^3+23*x^2+30*x+28", "y^2=18*x^6+19*x^5+20*x^4+3*x^3+10*x^2+28*x+10", "y^2=10*x^6+7*x^5+14*x^4+11*x^3+28*x^2+28*x+18", "y^2=18*x^6+22*x^5+17*x^4+4*x^3+13*x^2+13*x+7", "y^2=10*x^6+21*x^5+27*x^4+26*x^3+27*x^2+21*x+10", "y^2=23*x^6+24*x^5+24*x^4+16*x^3+29*x^2+6*x+21", "y^2=25*x^6+28*x^5+17*x^4+30*x^3+6*x^2+14*x+19", "y^2=18*x^6+8*x^5+7*x^4+13*x^2+10*x+24", "y^2=17*x^6+15*x^5+2*x^4+19*x^3+29*x^2+x+20", "y^2=2*x^6+9*x^5+27*x^4+21*x^3+15*x^2+20*x+4", "y^2=8*x^6+2*x^5+15*x^4+7*x^3+12*x^2+5*x+16", "y^2=4*x^6+10*x^5+19*x^4+18*x^3+19*x^2+10*x+4", "y^2=25*x^6+29*x^5+26*x^4+23*x^3+26*x^2+29*x+25", "y^2=5*x^6+27*x^5+15*x^4+15*x^3+8*x^2+12*x+17", "y^2=24*x^6+20*x^5+26*x^4+x^3+26*x^2+20*x+24", "y^2=12*x^6+20*x^5+19*x^4+25*x^3+19*x^2+20*x+12", "y^2=6*x^6+20*x^5+18*x^4+10*x^3+11*x^2+24*x+29", "y^2=x^6+4*x^5+30*x^4+24*x^3+30*x^2+4*x+1", "y^2=22*x^6+5*x^5+13*x^4+9*x^3+13*x^2+5*x+22", "y^2=4*x^6+29*x^5+19*x^4+14*x^3+16*x^2+24*x+24", "y^2=29*x^6+17*x^5+5*x^4+25*x^3+14*x^2+4*x+18", "y^2=2*x^6+15*x^5+15*x^4+7*x^3+15*x^2+15*x+2", "y^2=5*x^6+23*x^5+x^4+5*x^3+28*x^2+21*x+20", "y^2=14*x^6+11*x^5+18*x^4+15*x^3+25*x^2+20*x+10", "y^2=9*x^6+29*x^5+17*x^4+17*x^3+21*x^2+11*x+20", "y^2=8*x^6+3*x^5+19*x^4+19*x^3+10*x^2+15*x+8", "y^2=16*x^6+20*x^5+19*x^4+15*x^3+19*x^2+20*x+16", "y^2=2*x^5+16*x^4+27*x^3+16*x^2+2*x", "y^2=19*x^6+5*x^5+23*x^4+10*x^3+23*x^2+5*x+19", "y^2=25*x^6+29*x^5+6*x^4+7*x^3+30*x^2+12*x+25", "y^2=18*x^6+30*x^5+23*x^4+12*x^3+23*x^2+30*x+18", "y^2=4*x^6+11*x^5+29*x^4+9*x^3+6*x^2+13*x+10", "y^2=18*x^6+8*x^5+14*x^4+12*x^3+14*x^2+8*x+18", "y^2=9*x^5+28*x^4+9*x^3+7*x^2+18*x", "y^2=18*x^6+28*x^5+16*x^4+30*x^3+19*x^2+9*x+16", "y^2=9*x^6+18*x^5+19*x^4+13*x^3+19*x^2+18*x+9", "y^2=x^6+27*x^5+13*x^4+3*x^3+18*x^2+x+15", "y^2=x^6+16*x^5+14*x^4+12*x^3+10*x^2+24*x+3", "y^2=27*x^6+12*x^5+25*x^4+25*x^3+7*x^2+6*x+23", "y^2=14*x^6+23*x^5+26*x^4+28*x^3+11*x^2+8*x+12"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 28, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.15.1"], "geometric_splitting_field": "4.0.225.1", "geometric_splitting_polynomials": [[1, 1, 2, -1, 1]], "group_structure_count": 12, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 48, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 48, "label": "2.31.m_dq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.3.1", "2.0.15.1"], "p": 31, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 12, 94, 372, 961], "poly_str": "1 12 94 372 961 ", "primitive_models": [], "q": 31, "real_poly": [1, 12, 32], "simple_distinct": ["1.31.e", "1.31.i"], "simple_factors": ["1.31.eA", "1.31.iA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,7*F+5", "2,7*F-9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.225.1", "splitting_polynomials": [[1, 1, 2, -1, 1]], "twist_count": 12, "twists": [["2.31.am_dq", "2.961.bs_csk", 2], ["2.31.ae_be", "2.961.bs_csk", 2], ["2.31.e_be", "2.961.bs_csk", 2], ["2.31.ad_aba", "2.29791.auu_hlvy", 3], ["2.31.p_eo", "2.29791.auu_hlvy", 3], ["2.31.at_fu", "2.887503681.abrro_fchrvfy", 6], ["2.31.ap_eo", "2.887503681.abrro_fchrvfy", 6], ["2.31.ab_g", "2.887503681.abrro_fchrvfy", 6], ["2.31.b_g", "2.887503681.abrro_fchrvfy", 6], ["2.31.d_aba", "2.887503681.abrro_fchrvfy", 6], ["2.31.t_fu", "2.887503681.abrro_fchrvfy", 6]], "weak_equivalence_count": 48, "zfv_index": 192, "zfv_index_factorization": [[2, 6], [3, 1]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 6480, "zfv_singular_count": 4, "zfv_singular_primes": ["3,7*F+5", "2,7*F-9"]}