# Stored data for abelian variety isogeny class 2.3.a_c, downloaded from the LMFDB on 23 April 2024.
{"label": "2.3.a_c", "g": 2, "p": 3, "q": 3, "poly": [1, 0, 2, 0, 9], "poly_str": "1 0 2 0 9 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.304086723984696, 0.695913276015304], "angle_rank": 1, "number_fields": ["2.0.8.1", "2.0.8.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [12, 144, 684, 9216, 59532, 467856, 4779948, 42614784, 387423756, 3544059024], "abvar_counts_str": "12 144 684 9216 59532 467856 4779948 42614784 387423756 3544059024 ", "abvar_count": 12, "curve_counts": [4, 14, 28, 110, 244, 638, 2188, 6494, 19684, 60014], "curve_counts_str": "4 14 28 110 244 638 2188 6494 19684 60014 ", "curve_count": 4, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.8.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.3.ae_k", "2.9.e_w", 2], ["2.3.e_k", "2.9.e_w", 2], ["2.3.a_ac", "2.81.bc_nu", 4], ["2.3.ac_b", "2.729.ado_fhm", 6], ["2.3.c_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", "1.3.c"], "simple_multiplicities": [1, 1], "simple_factors": ["1.3.acA", "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": 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, -4], "jacobian_count": 2, "curves": ["y^2=x^5+x", "y^2=x^6+x^5+2*x^3+x+2"], "hyp_count": 2, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 64, "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": true, "is_geometrically_squarefree": false, "size": 10, "principal_polarization_count": 5, "pic_prime_gens": [[1, 3, 1, 4]]}