# Stored data for abelian variety isogeny class 2.53.aw_it, downloaded from the LMFDB on 02 May 2024.
{"label": "2.53.aw_it", "g": 2, "p": 53, "q": 53, "poly": [1, -22, 227, -1166, 2809], "poly_str": "1 -22 227 -1166 2809 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.22740222193583, 0.22740222193583], "angle_rank": 1, "number_fields": ["2.0.91.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [1849, 7812025, 22289295616, 62344842015625, 174918560400071569, 491264358078890905600, 1379944813342661369750521, 3876267393576854324387015625, 10888439011699640688856675320064, 30585627100170643928223625511775625], "abvar_counts_str": "1849 7812025 22289295616 62344842015625 174918560400071569 491264358078890905600 1379944813342661369750521 3876267393576854324387015625 10888439011699640688856675320064 30585627100170643928223625511775625 ", "abvar_count": 1849, "curve_counts": [32, 2780, 149714, 7901268, 418269832, 22164607190, 1174709906584, 62259663804388, 3299763364487882, 174887469275225900], "curve_counts_str": "32 2780 149714 7901268 418269832 22164607190 1174709906584 62259663804388 3299763364487882 174887469275225900 ", "curve_count": 32, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.91.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.53.a_ap", "2.2809.abe_iqt", 2], ["2.53.w_it", "2.2809.abe_iqt", 2], ["2.53.l_cq", "2.148877.bge_bawyg", 3], ["2.53.a_p", "2.7890481.pyw_dueqyt", 4], ["2.53.al_cq", "2.22164361129.nzzw_hkmxkqyg", 6]], "twist_count": 6, "max_twist_degree": 6, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.53.al"], "simple_multiplicities": [2], "simple_factors": ["1.53.alA", "1.53.alB"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -22, 121], "jacobian_count": 9, "curves": ["y^2=2*x^6+24*x^5+2*x^4+16*x^3+50*x^2+x+33", "y^2=30*x^6+28*x^5+39*x^4+48*x^3+2*x^2+46*x+20", "y^2=48*x^6+14*x^4+34*x^3+19*x^2+18", "y^2=23*x^6+49*x^5+51*x^4+11*x^3+28*x^2+47*x+15", "y^2=37*x^6+33*x^5+8*x^4+46*x^3+39*x^2+33*x+18", "y^2=39*x^6+40*x^5+8*x^4+10*x^3+2*x^2+17*x+20", "y^2=28*x^6+14*x^5+x^4+2*x^3+40*x^2+34*x+17", "y^2=33*x^6+8*x^5+51*x^4+15*x^3+15*x^2+33*x+43", "y^2=14*x^6+48*x^5+21*x^4+10*x^3+26*x^2+35*x+20"], "hyp_count": 9, "geometric_splitting_field": "2.0.91.1", "splitting_field": "2.0.91.1", "geometric_splitting_polynomials": [[23, -1, 1]], "splitting_polynomials": [[23, -1, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}