# Stored data for abelian variety isogeny class 2.37.r_fo, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 2160, "abvar_counts": [2160, 1874880, 2538319680, 3520312185600, 4807524706426800, 6582957534912245760, 9012088139060053577520, 12337507629108505146240000, 16890053757044033513912927040, 23122483675643772950751679550400], "abvar_counts_str": "2160 1874880 2538319680 3520312185600 4807524706426800 6582957534912245760 9012088139060053577520 12337507629108505146240000 16890053757044033513912927040 23122483675643772950751679550400 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.69515222749844, 0.80713886692251], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 55, "curve_counts": [55, 1369, 50110, 1878337, 69328675, 2565728566, 94932159895, 3512478233953, 129961739383270, 4808584374285889], "curve_counts_str": "55 1369 50110 1878337 69328675 2565728566 94932159895 3512478233953 129961739383270 4808584374285889 ", "curves": ["y^2=27*x^6+x^5+28*x^3+15*x+28", "y^2=34*x^6+18*x^5+12*x^4+7*x^3+33*x^2+6*x+1", "y^2=8*x^6+24*x^5+24*x^4+14*x^3+21*x+23", "y^2=30*x^6+28*x^5+15*x^4+18*x^3+34*x^2+15*x+11", "y^2=25*x^6+28*x^5+36*x^4+33*x^3+34*x^2+11*x+21", "y^2=30*x^6+21*x^5+29*x^4+11*x^3+8*x^2+27*x+14", "y^2=7*x^6+27*x^5+3*x^4+28*x^3+7*x^2+34*x+25", "y^2=33*x^6+5*x^5+9*x^4+14*x^3+34*x^2+30*x+3", "y^2=34*x^6+2*x^5+26*x^4+14*x^3+9*x^2+19*x+3", "y^2=15*x^6+6*x^5+11*x^4+16*x^3+27*x^2+17*x+26"], "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": 18, "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": ["2.0.11.1", "2.0.3.1"], "geometric_splitting_field": "4.0.1089.1", "geometric_splitting_polynomials": [[9, -3, -2, -1, 1]], "group_structure_count": 9, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "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": 10, "label": "2.37.r_fo", "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": ["2.0.11.1", "2.0.3.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 17, 144, 629, 1369], "poly_str": "1 17 144 629 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, 17, 70], "simple_distinct": ["1.37.h", "1.37.k"], "simple_factors": ["1.37.hA", "1.37.kA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,F-V-3", "2,-3*F-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1089.1", "splitting_polynomials": [[9, -3, -2, -1, 1]], "twist_count": 12, "twists": [["2.37.ar_fo", "2.1369.ab_dci", 2], ["2.37.ad_e", "2.1369.ab_dci", 2], ["2.37.d_e", "2.1369.ab_dci", 2], ["2.37.ae_ad", "2.50653.auy_immo", 3], ["2.37.i_dd", "2.50653.auy_immo", 3], ["2.37.as_fv", "2.2565726409.dey_ainrvlkc", 6], ["2.37.ai_dd", "2.2565726409.dey_ainrvlkc", 6], ["2.37.ag_cp", "2.2565726409.dey_ainrvlkc", 6], ["2.37.e_ad", "2.2565726409.dey_ainrvlkc", 6], ["2.37.g_cp", "2.2565726409.dey_ainrvlkc", 6], ["2.37.s_fv", "2.2565726409.dey_ainrvlkc", 6]], "weak_equivalence_count": 21, "zfv_index": 108, "zfv_index_factorization": [[2, 2], [3, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4752, "zfv_singular_count": 4, "zfv_singular_primes": ["3,F-V-3", "2,-3*F-1"]}