# Stored data for abelian variety isogeny class 2.3.ac_h, downloaded from the LMFDB on 24 April 2024.
{"label": "2.3.ac_h", "g": 2, "p": 3, "q": 3, "poly": [1, -2, 7, -6, 9], "poly_str": "1 -2 7 -6 9 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.406785250661331, 0.406785250661331], "angle_rank": 1, "number_fields": ["2.0.11.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [9, 225, 1296, 5625, 45369, 518400, 5157441, 44555625, 382124304, 3431030625], "abvar_counts_str": "9 225 1296 5625 45369 518400 5157441 44555625 382124304 3431030625 ", "abvar_count": 9, "curve_counts": [2, 20, 44, 68, 182, 710, 2354, 6788, 19412, 58100], "curve_counts_str": "2 20 44 68 182 710 2354 6788 19412 58100 ", "curve_count": 2, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.11.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.a_f", "2.9.k_br", 2], ["2.3.c_h", "2.9.k_br", 2], ["2.3.b_ac", "2.27.q_eo", 3], ["2.3.a_af", "2.81.ao_id", 4], ["2.3.ab_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"], "simple_multiplicities": [2], "simple_factors": ["1.3.abA", "1.3.abB"], "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, -2, 1], "jacobian_count": 1, "curves": ["y^2=2*x^6+x^4+2*x^3+x^2+2"], "hyp_count": 1, "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": false, "is_geometrically_squarefree": false}