# Stored data for abelian variety isogeny class 2.11.ac_x, downloaded from the LMFDB on 11 June 2024.
{"abvar_count": 121, "abvar_counts": [121, 20449, 1860496, 208600249, 25760571001, 3144238240000, 380049995306641, 45945306460164969, 5559469279446003856, 672750954721362268609], "abvar_counts_str": "121 20449 1860496 208600249 25760571001 3144238240000 380049995306641 45945306460164969 5559469279446003856 672750954721362268609 ", "angle_rank": 1, "angles": [0.45182932554789, 0.45182932554789], "center_dim": 2, "curve_count": 10, "curve_counts": [10, 164, 1396, 14244, 159950, 1774838, 19502570, 214338244, 2357757676, 25937461604], "curve_counts_str": "10 164 1396 14244 159950 1774838 19502570 214338244 2357757676 25937461604 ", "curves": ["y^2=4*x^6+10*x^5+4*x^4+4*x^3+4*x^2+10*x+4", "y^2=7*x^6+5*x^5+9*x^4+8*x^3+5*x^2+6*x+7"], "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": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "jacobian_count": 2, "label": "2.11.ac_x", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "number_fields": ["2.0.43.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 23, -22, 121], "poly_str": "1 -2 23 -22 121 ", "primitive_models": [], "q": 11, "real_poly": [1, -2, 1], "simple_distinct": ["1.11.ab"], "simple_factors": ["1.11.abA", "1.11.abB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.43.1", "splitting_polynomials": [[11, -1, 1]], "twist_count": 6, "twists": [["2.11.a_v", "2.121.bq_bah", 2], ["2.11.c_x", "2.121.bq_bah", 2], ["2.11.b_ak", "2.1331.cm_flu", 3], ["2.11.a_av", "2.14641.api_dxxj", 4], ["2.11.ab_ak", "2.1771561.ewa_nqghy", 6]]}