# Stored data for abelian variety isogeny class 2.3.ab_a, downloaded from the LMFDB on 25 April 2024.
{"label": "2.3.ab_a", "g": 2, "p": 3, "q": 3, "poly": [1, -1, 0, -3, 9], "poly_str": "1 -1 0 -3 9 ", "slopes": ["0A", "1/2A", "1/2B", "1A"], "p_rank": 1, "p_rank_deficit": 1, "angles": [0.166666666666667, 0.695913276015304], "angle_rank": 1, "number_fields": ["2.0.3.1", "2.0.8.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [6, 84, 504, 8736, 66666, 536256, 5159706, 43365504, 383719896, 3500898324], "abvar_counts_str": "6 84 504 8736 66666 536256 5159706 43365504 383719896 3500898324 ", "abvar_count": 6, "curve_counts": [3, 9, 18, 105, 273, 738, 2355, 6609, 19494, 59289], "curve_counts_str": "3 9 18 105 273 738 2355 6609 19494 59289 ", "curve_count": 3, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 3, "geometric_number_fields": ["1.1.1.1", "2.0.8.1"], "geometric_galois_groups": ["1T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.af_m", "2.9.ab_m", 2], ["2.3.b_a", "2.9.ab_m", 2], ["2.3.f_m", "2.9.ab_m", 2], ["2.3.c_g", "2.27.ak_cc", 3], ["2.3.f_m", "2.27.ak_cc", 3], ["2.3.af_m", "2.729.i_abnm", 6], ["2.3.ac_g", "2.729.i_abnm", 6], ["2.3.c_g", "2.729.i_abnm", 6]], "twist_count": 6, "max_twist_degree": 6, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.3.ad", "1.3.c"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.adA", "1.3.cA"], "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": 2, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1, -1, -6], "jacobian_count": 1, "curves": ["y^2=2*x^6+x^4+2*x"], "hyp_count": 1, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 24, "geometric_splitting_field": "2.0.8.1", "splitting_field": "4.0.576.1", "geometric_splitting_polynomials": [[2, 0, 1]], "splitting_polynomials": [[4, 0, -2, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 5, "principal_polarization_count": 0, "pic_prime_gens": [[2, 2, 1, 4]]}