# Stored data for abelian variety isogeny class 2.3.a_f, downloaded from the LMFDB on 25 April 2024.
{"label": "2.3.a_f", "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": [0.406785250661331, 0.593214749338669], "angle_rank": 1, "number_fields": ["2.0.11.1", "2.0.11.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [15, 225, 720, 5625, 58575, 518400, 4780455, 44555625, 387441360, 3431030625], "abvar_counts_str": "15 225 720 5625 58575 518400 4780455 44555625 387441360 3431030625 ", "abvar_count": 15, "curve_counts": [4, 20, 28, 68, 244, 710, 2188, 6788, 19684, 58100], "curve_counts_str": "4 20 28 68 244 710 2188 6788 19684 58100 ", "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", "2.9.k_br", 2], ["2.3.c_h", "2.9.k_br", 2], ["2.3.a_af", "2.81.ao_id", 4], ["2.3.ab_ac", "2.729.au_chy", 6], ["2.3.b_ac", "2.729.au_chy", 6]], "twist_count": 6, "max_twist_degree": 6, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.3.ab", "1.3.b"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.abA", "1.3.bA"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 2, "dim2_distinct": 0, "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, -1], "jacobian_count": 2, "curves": ["y^2=2*x^6+x^5+x^3+x+2", "y^2=x^6+2*x^5+2*x^3+2*x+1"], "hyp_count": 2, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 121, "geometric_splitting_field": "2.0.11.1", "splitting_field": "2.0.11.1", "geometric_splitting_polynomials": [[3, -1, 1]], "splitting_polynomials": [[3, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 4, "principal_polarization_count": 4, "pic_prime_gens": [[1, 3, 1, 3]]}