# Stored data for abelian variety isogeny class 2.37.ac_cx, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 1369, "abvar_counts": [1369, 2082249, 2576983696, 3502778008041, 4807660755266209, 6583409775309459456, 9012125026534890563209, 12337491085517843860815369, 16890049811773624836006505744, 23122484573742848763904613606649], "abvar_counts_str": "1369 2082249 2576983696 3502778008041 4807660755266209 6583409775309459456 9012125026534890563209 12337491085517843860815369 16890049811773624836006505744 23122484573742848763904613606649 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.473805533589177, 0.473805533589177], "center_dim": 2, "curve_count": 36, "curve_counts": [36, 1516, 50874, 1868980, 69330636, 2565904822, 94932548460, 3512473524004, 129961709026098, 4808584561055836], "curve_counts_str": "36 1516 50874 1868980 69330636 2565904822 94932548460 3512473524004 129961709026098 4808584561055836 ", "curves": ["y^2=5*x^6+3*x^5+13*x^4+22*x^3+22*x^2+15*x+6", "y^2=21*x^6+6*x^5+29*x^4+14*x^3+15*x^2+13*x+28", "y^2=19*x^6+32*x^5+8*x^4+16*x^3+20*x^2+15*x+24", "y^2=23*x^6+8*x^5+27*x^4+5*x^3+23*x^2+36*x+20", "y^2=2*x^6+2*x^3+17", "y^2=13*x^6+22*x^5+21*x^4+36*x^3+10*x^2+19*x+18", "y^2=4*x^6+31*x^5+26*x^4+35*x^3+34*x^2+2*x+3", "y^2=13*x^6+23*x^5+6*x^4+13*x^3+3*x^2+17*x+26", "y^2=18*x^6+17*x^5+17*x^4+31*x^3+19*x^2+6*x+24", "y^2=31*x^6+28*x^4+33*x^3+30*x^2+30*x+8", "y^2=5*x^6+36*x^5+18*x^4+13*x^3+4*x^2+5*x+10", "y^2=18*x^6+20*x^5+12*x^4+22*x^3+10*x^2+18*x+32"], "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": 12, "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": 12, "label": "2.37.ac_cx", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [37], "number_fields": ["2.0.3.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 75, -74, 1369], "poly_str": "1 -2 75 -74 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, -2, 1], "simple_distinct": ["1.37.ab"], "simple_factors": ["1.37.abA", "1.37.abB"], "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_cv", "2.1369.fq_lyh", 2], ["2.37.c_cx", "2.1369.fq_lyh", 2], ["2.37.au_gs", "2.50653.im_gltu", 3], ["2.37.al_dg", "2.50653.im_gltu", 3], ["2.37.b_abk", "2.50653.im_gltu", 3], ["2.37.k_cl", "2.50653.im_gltu", 3], ["2.37.w_hn", "2.50653.im_gltu", 3], ["2.37.a_acv", "2.1874161.ahri_wxftj", 4], ["2.37.aw_hn", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.av_hc", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.am_dh", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.ak_cl", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.aj_cm", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.ab_abk", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_abv", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_aba", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.j_cm", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.l_dg", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.m_dh", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.u_gs", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.v_hc", "2.2565726409.kdya_bqjqzzny", 6], ["2.37.a_ba", "2.6582952005840035281.ashtkeye_inrkfjttgtpuug", 12], ["2.37.a_bv", "2.6582952005840035281.ashtkeye_inrkfjttgtpuug", 12]]}