# Stored data for abelian variety isogeny class 1.83.ar, downloaded from the LMFDB on 29 April 2024.
{"label": "1.83.ar", "g": 1, "p": 83, "q": 83, "poly": [1, -17, 83], "poly_str": "1 -17 83 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.117184483028491], "angle_rank": 1, "number_fields": ["2.0.43.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [67, 6767, 571108, 47456971, 3939074117, 326941054544, 27136059791327, 2252292325230483, 186940256119553884, 15516041193963493007], "abvar_counts_str": "67 6767 571108 47456971 3939074117 326941054544 27136059791327 2252292325230483 186940256119553884 15516041193963493007 ", "abvar_count": 67, "curve_counts": [67, 6767, 571108, 47456971, 3939074117, 326941054544, 27136059791327, 2252292325230483, 186940256119553884, 15516041193963493007], "curve_counts_str": "67 6767 571108 47456971 3939074117 326941054544 27136059791327 2252292325230483 186940256119553884 15516041193963493007 ", "curve_count": 67, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.43.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.83.r", "1.6889.aet", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.83.ar"], "simple_multiplicities": [1], "simple_factors": ["1.83.arA"], "dim1_factors": 1, "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": 1, "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, -17], "jacobian_count": 1, "hyp_count": 1, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 43, "geometric_splitting_field": "2.0.43.1", "splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "splitting_polynomials": [[11, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}