# Stored data for abelian variety isogeny class 1.241.l, downloaded from the LMFDB on 30 April 2024. {"label": "1.241.l", "g": 1, "p": 241, "q": 241, "poly": [1, 11, 241], "poly_str": "1 11 241 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.615276112092828], "angle_rank": 1, "number_fields": ["2.0.843.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [253, 58443, 13990900, 3373388403, 812991768853, 195930578289600, 47219272941317653, 11379844845107686563, 2742542606080981650100, 660952768067039974683003], "abvar_counts_str": "253 58443 13990900 3373388403 812991768853 195930578289600 47219272941317653 11379844845107686563 2742542606080981650100 660952768067039974683003 ", "abvar_count": 253, "curve_counts": [253, 58443, 13990900, 3373388403, 812991768853, 195930578289600, 47219272941317653, 11379844845107686563, 2742542606080981650100, 660952768067039974683003], "curve_counts_str": "253 58443 13990900 3373388403 812991768853 195930578289600 47219272941317653 11379844845107686563 2742542606080981650100 660952768067039974683003 ", "curve_count": 253, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.843.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.241.al", "1.58081.nx", 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": ["1.241.l"], "simple_multiplicities": [1], "simple_factors": ["1.241.lA"], "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, 11], "jacobian_count": 6, "hyp_count": 6, "geometric_splitting_field": "2.0.843.1", "splitting_field": "2.0.843.1", "geometric_splitting_polynomials": [[211, -1, 1]], "splitting_polynomials": [[211, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}