# Stored data for abelian variety isogeny class 1.337.at, downloaded from the LMFDB on 04 May 2024.
{"label": "1.337.at", "g": 1, "p": 337, "q": 337, "poly": [1, -19, 337], "poly_str": "1 -19 337 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.326863501290027], "angle_rank": 1, "number_fields": ["2.0.987.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [319, 113883, 38285104, 12898046931, 4346596577719, 1464803546222016, 493638819813011191, 166356282578630458083, 56062067226393635678128, 18892916655143508881777643], "abvar_counts_str": "319 113883 38285104 12898046931 4346596577719 1464803546222016 493638819813011191 166356282578630458083 56062067226393635678128 18892916655143508881777643 ", "abvar_count": 319, "curve_counts": [319, 113883, 38285104, 12898046931, 4346596577719, 1464803546222016, 493638819813011191, 166356282578630458083, 56062067226393635678128, 18892916655143508881777643], "curve_counts_str": "319 113883 38285104 12898046931 4346596577719 1464803546222016 493638819813011191 166356282578630458083 56062067226393635678128 18892916655143508881777643 ", "curve_count": 319, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.987.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.337.t", "1.113569.mb", 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": ["1.337.at"], "simple_multiplicities": [1], "simple_factors": ["1.337.atA"], "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, -19], "jacobian_count": 8, "hyp_count": 8, "geometric_splitting_field": "2.0.987.1", "splitting_field": "2.0.987.1", "geometric_splitting_polynomials": [[247, -1, 1]], "splitting_polynomials": [[247, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}