# Stored data for abelian variety isogeny class 2.3.ae_j, downloaded from the LMFDB on 20 April 2024.
{"label": "2.3.ae_j", "g": 2, "p": 3, "q": 3, "poly": [1, -4, 9, -12, 9], "poly_str": "1 -4 9 -12 9 ", "slopes": ["0A", "1/2A", "1/2B", "1A"], "p_rank": 1, "p_rank_deficit": 1, "angles": [0.166666666666667, 0.406785250661331], "angle_rank": 1, "number_fields": ["2.0.3.1", "2.0.11.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [3, 105, 1008, 6825, 57723, 564480, 5152899, 44342025, 384782832, 3444620025], "abvar_counts_str": "3 105 1008 6825 57723 564480 5152899 44342025 384782832 3444620025 ", "abvar_count": 3, "curve_counts": [0, 12, 36, 84, 240, 774, 2352, 6756, 19548, 58332], "curve_counts_str": "0 12 36 84 240 774 2352 6756 19548 58332 ", "curve_count": 0, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 3, "geometric_number_fields": ["1.1.1.1", "2.0.11.1"], "geometric_galois_groups": ["1T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.ac_d", "2.9.c_d", 2], ["2.3.e_j", "2.9.c_d", 2], ["2.3.ab_g", "2.27.i_cc", 3], ["2.3.c_d", "2.27.i_cc", 3], ["2.3.ab_g", "2.729.bs_bji", 6], ["2.3.b_g", "2.729.bs_bji", 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.ab"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.adA", "1.3.abA"], "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, -4, 3], "jacobian_count": 1, "curves": ["y^2=2*x^6+x^5+2*x^4+x^3+2*x^2+x+2"], "hyp_count": 1, "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": 33, "geometric_splitting_field": "2.0.11.1", "splitting_field": "4.0.1089.1", "geometric_splitting_polynomials": [[3, -1, 1]], "splitting_polynomials": [[9, -3, -2, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 2, "principal_polarization_count": 0, "pic_prime_gens": []}