# Stored data for abelian variety isogeny class 2.37.aw_hn, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 729, "abvar_counts": [729, 1750329, 2554695936, 3514466345481, 4809956093699409, 6583409775309459456, 9012178133591611145049, 12337536280172719319294409, 16890057809353969875924666624, 23122484059960988817426164514249], "abvar_counts_str": "729 1750329 2554695936 3514466345481 4809956093699409 6583409775309459456 9012178133591611145049 12337536280172719319294409 16890057809353969875924666624 23122484059960988817426164514249 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.140472200255843, 0.140472200255843], "center_dim": 2, "curve_count": 16, "curve_counts": [16, 1276, 50434, 1875220, 69363736, 2565904822, 94933107880, 3512486390884, 129961770564058, 4808584454209036], "curve_counts_str": "16 1276 50434 1875220 69363736 2565904822 94933107880 3512486390884 129961770564058 4808584454209036 ", "curves": ["y^2=11*x^6+36*x^5+31*x^4+19*x^3+5*x^2+25*x+1", "y^2=x^6+12*x^3+26"], "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": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "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": 2, "label": "2.37.aw_hn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.3.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -22, 195, -814, 1369], "poly_str": "1 -22 195 -814 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -22, 121], "simple_distinct": ["1.37.al"], "simple_factors": ["1.37.alA", "1.37.alB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.37.a_abv", "2.1369.adq_hih", 2], ["2.37.w_hn", "2.1369.adq_hih", 2], ["2.37.ak_cl", "2.50653.aim_gltu", 3], ["2.37.ab_abk", "2.50653.aim_gltu", 3], ["2.37.c_cx", "2.50653.aim_gltu", 3], ["2.37.l_dg", "2.50653.aim_gltu", 3], ["2.37.u_gs", "2.50653.aim_gltu", 3], ["2.37.a_bv", "2.1874161.bos_ivevj", 4], ["2.37.av_hc", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.au_gs", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.am_dh", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.al_dg", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.aj_cm", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.ac_cx", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_aba", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_cv", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.b_abk", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.j_cm", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.k_cl", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.m_dh", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.v_hc", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_acv", "2.6582952005840035281.ashtkeye_inrkfjttgtpuug", 12], ["2.37.a_ba", "2.6582952005840035281.ashtkeye_inrkfjttgtpuug", 12]]}