# Stored data for abelian variety isogeny class 2.17.ao_df, downloaded from the LMFDB on 21 February 2026.
{"abvar_count": 121, "abvar_counts": [121, 75625, 24285184, 7035015625, 2022342812281, 583087267840000, 168401996374543129, 48661783896050015625, 14063036162888693026816, 4064222751691998577515625], "abvar_counts_str": "121 75625 24285184 7035015625 2022342812281 583087267840000 168401996374543129 48661783896050015625 14063036162888693026816 4064222751691998577515625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.177280642488854, 0.177280642488854], "center_dim": 2, "curve_count": 4, "curve_counts": [4, 260, 4942, 84228, 1424324, 24156830, 410397572, 6975842308, 118587469294, 2015989607300], "curve_counts_str": "4 260 4942 84228 1424324 24156830 410397572 6975842308 118587469294 2015989607300 ", "curves": ["y^2=6*x^6+16*x^4+4*x^3+2*x^2+3"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "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": 1, "label": "2.17.ao_df", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [11], "number_fields": ["2.0.19.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -14, 83, -238, 289], "poly_str": "1 -14 83 -238 289 ", "primitive_models": [], "q": 17, "real_poly": [1, -14, 49], "simple_distinct": ["1.17.ah"], "simple_factors": ["1.17.ahA", "1.17.ahB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.17.a_ap", "2.289.abe_bex", 2], ["2.17.o_df", "2.289.abe_bex", 2], ["2.17.h_bg", "2.4913.bc_ovm", 3], ["2.17.a_p", "2.83521.bbe_qplj", 4], ["2.17.ah_bg", "2.24137569.bcmu_lwozry", 6]]}