# Stored data for abelian variety isogeny class 3.17.c_bg_v, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 6091, "abvar_counts": [6091, 29778899, 115646899411, 585824824778419, 2869491543062905211, 14049472807720763967707, 69082913638704821821037843, 339463690429544415603714910563, 1667711516266778004956240790982336, 8193464390469601762969837782251517419], "abvar_counts_str": "6091 29778899 115646899411 585824824778419 2869491543062905211 14049472807720763967707 69082913638704821821037843 339463690429544415603714910563 1667711516266778004956240790982336 8193464390469601762969837782251517419 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.315589365097645, 0.610721857871947, 0.648269276375568], "center_dim": 6, "curve_count": 20, "curve_counts": [20, 350, 4793, 83978, 1423360, 24114197, 410285098, 6976066082, 118587890300, 2015993571890], "curve_counts_str": "20 350 4793 83978 1423360 24114197 410285098 6976066082 118587890300 2015993571890 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.16007110227.1"], "geometric_splitting_field": "6.0.16007110227.1", "geometric_splitting_polynomials": [[3091, -415, 573, -48, 39, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 0, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.17.c_bg_v", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.16007110227.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 2, 32, 21, 544, 578, 4913], "poly_str": "1 2 32 21 544 578 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, 2, -19, -47], "simple_distinct": ["3.17.c_bg_v"], "simple_factors": ["3.17.c_bg_vA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.16007110227.1", "splitting_polynomials": [[3091, -415, 573, -48, 39, -2, 1]], "twist_count": 2, "twists": [["3.17.ac_bg_av", "3.289.ci_daa_cjzd", 2]]}