# Stored data for abelian variety isogeny class 2.3.a_af, downloaded from the LMFDB on 16 April 2024.
{"label": "2.3.a_af", "g": 2, "p": 3, "q": 3, "poly": [1, 0, -5, 0, 9], "poly_str": "1 0 -5 0 9 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0932147493386687, 0.906785250661331], "angle_rank": 1, "number_fields": ["4.0.1936.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [5, 25, 740, 5625, 59525, 547600, 4785485, 44555625, 387399620, 3543225625], "abvar_counts_str": "5 25 740 5625 59525 547600 4785485 44555625 387399620 3543225625 ", "abvar_count": 5, "curve_counts": [4, 0, 28, 68, 244, 750, 2188, 6788, 19684, 60000], "curve_counts_str": "4 0 28 68 244 750 2188 6788 19684 60000 ", "curve_count": 4, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.11.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.ac_h", "2.81.ao_id", 4], ["2.3.a_f", "2.81.ao_id", 4], ["2.3.c_h", "2.81.ao_id", 4], ["2.3.ab_ac", "2.531441.eam_gjkjm", 12], ["2.3.b_ac", "2.531441.eam_gjkjm", 12]], "twist_count": 6, "max_twist_degree": 12, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.3.a_af"], "simple_multiplicities": [1], "simple_factors": ["2.3.a_afA"], "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, 0, -11], "jacobian_count": 0, "curves": [], "hyp_count": 0, "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": 1, "geometric_splitting_field": "2.0.11.1", "splitting_field": "4.0.1936.1", "geometric_splitting_polynomials": [[3, -1, 1]], "splitting_polynomials": [[9, 0, -5, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 1, "principal_polarization_count": 1, "pic_prime_gens": []}