# Stored data for abelian variety isogeny class 1.311.av, downloaded from the LMFDB on 09 May 2024.
{"label": "1.311.av", "g": 1, "p": 311, "q": 311, "poly": [1, -21, 311], "poly_str": "1 -21 311 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.296993448559081], "angle_rank": 1, "number_fields": ["2.0.803.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [291, 96903, 30090564, 9355112523, 2909390183601, 904820250423600, 281399111342684031, 87515123940320809203, 27217203547821085440684, 8464550303325101131812303], "abvar_counts_str": "291 96903 30090564 9355112523 2909390183601 904820250423600 281399111342684031 87515123940320809203 27217203547821085440684 8464550303325101131812303 ", "abvar_count": 291, "curve_counts": [291, 96903, 30090564, 9355112523, 2909390183601, 904820250423600, 281399111342684031, 87515123940320809203, 27217203547821085440684, 8464550303325101131812303], "curve_counts_str": "291 96903 30090564 9355112523 2909390183601 904820250423600 281399111342684031 87515123940320809203 27217203547821085440684 8464550303325101131812303 ", "curve_count": 291, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.803.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.311.v", "1.96721.gz", 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": ["1.311.av"], "simple_multiplicities": [1], "simple_factors": ["1.311.avA"], "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, -21], "jacobian_count": 10, "hyp_count": 10, "geometric_splitting_field": "2.0.803.1", "splitting_field": "2.0.803.1", "geometric_splitting_polynomials": [[201, -1, 1]], "splitting_polynomials": [[201, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}