# Stored data for abelian variety isogeny class 2.17.an_cw, downloaded from the LMFDB on 27 April 2024.
{"label": "2.17.an_cw", "g": 2, "p": 17, "q": 17, "poly": [1, -13, 74, -221, 289], "poly_str": "1 -13 74 -221 289 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0779791303773693, 0.292637436158356], "angle_rank": 2, "number_fields": ["2.0.4.1", "2.0.43.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [130, 77740, 24261640, 6990380800, 2015239733650, 582427647143680, 168363781664704210, 48661076024196480000, 14063166150216570691720, 4064241387720474658254700], "abvar_counts_str": "130 77740 24261640 6990380800 2015239733650 582427647143680 168363781664704210 48661076024196480000 14063166150216570691720 4064241387720474658254700 ", "abvar_count": 130, "curve_counts": [5, 269, 4940, 83697, 1419325, 24129506, 410304445, 6975740833, 118588565420, 2015998851389], "curve_counts_str": "5 269 4940 83697 1419325 24129506 410304445 6975740833 118588565420 2015998851389 ", "curve_count": 5, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["2.0.4.1", "2.0.43.1"], "geometric_galois_groups": ["2T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.17.ad_ag", "2.289.av_lw", 2], ["2.17.d_ag", "2.289.av_lw", 2], ["2.17.n_cw", "2.289.av_lw", 2], ["2.17.ah_bs", "2.83521.gt_kjo", 4], ["2.17.ad_y", "2.83521.gt_kjo", 4], ["2.17.d_y", "2.83521.gt_kjo", 4], ["2.17.h_bs", "2.83521.gt_kjo", 4]], "twist_count": 8, "max_twist_degree": 4, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.17.ai", "1.17.af"], "simple_multiplicities": [1, 1], "simple_factors": ["1.17.aiA", "1.17.afA"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 2, "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": 2, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -13, 40], "jacobian_count": 1, "curves": ["y^2=5*x^6+5*x^5+3*x^2+9*x+6"], "hyp_count": 1, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 172, "geometric_splitting_field": "4.0.29584.2", "splitting_field": "4.0.29584.2", "geometric_splitting_polynomials": [[121, 0, -21, 0, 1]], "splitting_polynomials": [[121, 0, -21, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 3, "principal_polarization_count": 2, "pic_prime_gens": [[1, 2, 1, 2]]}