# Stored data for abelian variety isogeny class 2.2.d_f, downloaded from the LMFDB on 19 April 2024.
{"label": "2.2.d_f", "g": 2, "p": 2, "q": 2, "poly": [1, 3, 5, 6, 4], "poly_str": "1 3 5 6 4 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.54311802170575, 0.876451355039084], "angle_rank": 1, "number_fields": ["4.0.225.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [19, 19, 76, 171, 1159, 5776, 11989, 69939, 261364, 1113799], "abvar_counts_str": "19 19 76 171 1159 5776 11989 69939 261364 1113799 ", "abvar_count": 19, "curve_counts": [6, 6, 9, 10, 36, 87, 90, 274, 513, 1086], "curve_counts_str": "6 6 9 10 36 87 90 274 513 1086 ", "curve_count": 6, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.15.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.ad_f", "2.4.b_ad", 2], ["2.2.ad_f", "2.8.a_l", 3], ["2.2.a_ab", "2.8.a_l", 3], ["2.2.a_b", "2.4096.o_mez", 12]], "twist_count": 4, "max_twist_degree": 12, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.2.d_f"], "simple_multiplicities": [1], "simple_factors": ["2.2.d_fA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "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, 3, 1], "jacobian_count": 1, "curves": ["y^2+(x^3+x+1)*y=x^5+x^4+x^3+x"], "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": 9, "geometric_splitting_field": "2.0.15.1", "splitting_field": "4.0.225.1", "geometric_splitting_polynomials": [[4, -1, 1]], "splitting_polynomials": [[1, 1, 2, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}