# Stored data for abelian variety isogeny class 2.3.ae_k, downloaded from the LMFDB on 23 April 2024.
{"label": "2.3.ae_k", "g": 2, "p": 3, "q": 3, "poly": [1, -4, 10, -12, 9], "poly_str": "1 -4 10 -12 9 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.304086723984696, 0.304086723984696], "angle_rank": 1, "number_fields": ["2.0.8.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [4, 144, 1444, 9216, 58564, 467856, 4418404, 42614784, 394975876, 3544059024], "abvar_counts_str": "4 144 1444 9216 58564 467856 4418404 42614784 394975876 3544059024 ", "abvar_count": 4, "curve_counts": [0, 14, 48, 110, 240, 638, 2016, 6494, 20064, 60014], "curve_counts_str": "0 14 48 110 240 638 2016 6494 20064 60014 ", "curve_count": 0, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.8.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.a_c", "2.9.e_w", 2], ["2.3.e_k", "2.9.e_w", 2], ["2.3.c_b", "2.27.u_fy", 3], ["2.3.a_ac", "2.81.bc_nu", 4], ["2.3.ac_b", "2.729.ado_fhm", 6], ["2.3.ae_i", "2.6561.acq_vde", 8], ["2.3.e_i", "2.6561.acq_vde", 8]], "twist_count": 8, "max_twist_degree": 8, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.3.ac"], "simple_multiplicities": [2], "simple_factors": ["1.3.acA", "1.3.acB"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "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, -4, 4], "jacobian_count": 1, "curves": ["y^2=2*x^6+2*x^4+2*x^2+2"], "hyp_count": 1, "geometric_splitting_field": "2.0.8.1", "splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "splitting_polynomials": [[2, 0, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}