# Stored data for abelian variety isogeny class 2.37.ai_dm, downloaded from the LMFDB on 13 April 2026.
{"abvar_count": 1156, "abvar_counts": [1156, 2039184, 2604469156, 3510137143296, 4806287558831236, 6582730878000755856, 9012144929843750275876, 12337535493130683448295424, 16890053063954167679873784964, 23122482361821215465894404750224], "abvar_counts_str": "1156 2039184 2604469156 3510137143296 4806287558831236 6582730878000755856 9012144929843750275876 12337535493130683448295424 16890053063954167679873784964 23122482361821215465894404750224 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.39335647955041, 0.39335647955041], "center_dim": 2, "curve_count": 30, "curve_counts": [30, 1486, 51414, 1872910, 69310830, 2565640222, 94932758118, 3512486166814, 129961734050238, 4808584101061486], "curve_counts_str": "30 1486 51414 1872910 69310830 2565640222 94932758118 3512486166814 129961734050238 4808584101061486 ", "curves": ["y^2=16*x^6+3*x^5+20*x^4+23*x^3+20*x^2+3*x+16", "y^2=29*x^6+25*x^5+2*x^4+26*x^3+18*x^2+27*x+14", "y^2=28*x^6+21*x^5+19*x^4+16*x^3+31*x^2+12*x+4", "y^2=13*x^6+21*x^5+23*x^4+11*x^3+17*x^2+32*x+17", "y^2=34*x^6+6*x^5+21*x^4+32*x^3+23*x^2+4*x+23", "y^2=2*x^6+18*x^5+10*x^4+19*x^3+25*x^2+20*x+22", "y^2=30*x^6+33*x^5+30*x^4+34*x^3+25*x^2+26*x+4", "y^2=2*x^6+2*x^3+20", "y^2=35*x^6+25*x^5+30*x^4+27*x^3+30*x^2+25*x+35", "y^2=25*x^6+4*x^5+28*x^4+16*x^3+21*x^2+13*x+23", "y^2=22*x^6+31*x^5+2*x^4+10*x^3+2*x^2+31*x+22", "y^2=2*x^6+23*x^3+17", "y^2=33*x^6+33*x^5+16*x^4+27*x^3+33*x^2+2*x+22", "y^2=25*x^6+6*x^5+26*x^4+24*x^3+26*x^2+6*x+25", "y^2=14*x^6+10*x^5+16*x^4+20*x^3+13*x^2+5*x+6", "y^2=23*x^6+29*x^5+29*x^4+3*x^3+23*x^2+31*x+14", "y^2=22*x^6+17*x^4+17*x^2+22", "y^2=21*x^6+15*x^5+17*x^4+2*x^3+28*x^2+11*x+35", "y^2=23*x^6+36*x^5+13*x^4+18*x^3+22*x^2+24*x+25", "y^2=10*x^6+15*x^5+33*x^4+33*x^3+33*x^2+15*x+10", "y^2=8*x^6+11*x^5+26*x^4+8*x^3+26*x^2+11*x+8", "y^2=15*x^6+7*x^4+7*x^2+15", "y^2=25*x^6+25*x^5+34*x^4+2*x^3+3*x^2+25*x+21", "y^2=17*x^6+11*x^5+20*x^4+21*x^3+31*x^2+22*x+22", "y^2=19*x^6+29*x^5+26*x^4+3*x^3+33*x^2+9*x+25", "y^2=24*x^6+23*x^5+18*x^4+23*x^3+33*x^2+32*x+27"], "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": ["2.0.132.1"], "geometric_splitting_field": "2.0.132.1", "geometric_splitting_polynomials": [[33, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 26, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 26, "label": "2.37.ai_dm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 17], "number_fields": ["2.0.132.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -8, 90, -296, 1369], "poly_str": "1 -8 90 -296 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -8, 16], "simple_distinct": ["1.37.ae"], "simple_factors": ["1.37.aeA", "1.37.aeB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.132.1", "splitting_polynomials": [[33, 0, 1]], "twist_count": 6, "twists": [["2.37.a_cg", "2.1369.em_jas", 2], ["2.37.i_dm", "2.1369.em_jas", 2], ["2.37.e_av", "2.50653.bdg_nzmg", 3], ["2.37.a_acg", "2.1874161.abwe_jbook", 4], ["2.37.ae_av", "2.2565726409.aexmy_wqfarhm", 6]]}