# Stored data for abelian variety isogeny class 2.2.c_e, downloaded from the LMFDB on 20 April 2024.
{"label": "2.2.c_e", "g": 2, "p": 2, "q": 2, "poly": [1, 2, 4, 4, 4], "poly_str": "1 2 4 4 4 ", "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "p_rank": 0, "p_rank_deficit": 2, "angles": [0.5, 0.75], "angle_rank": 0, "number_fields": ["2.0.8.1", "2.0.4.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [15, 45, 45, 225, 825, 5265, 18705, 50625, 279585, 1116225], "abvar_counts_str": "15 45 45 225 825 5265 18705 50625 279585 1116225 ", "abvar_count": 15, "curve_counts": [5, 9, 5, 17, 25, 81, 145, 193, 545, 1089], "curve_counts_str": "5 9 5 17 25 81 145 193 545 1089 ", "curve_count": 5, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 8, "geometric_center_dim": 1, "geometric_number_fields": ["1.1.1.1"], "geometric_galois_groups": ["1T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.2.ac_e", "2.4.e_i", 2], ["2.2.ae_i", "2.256.acm_chc", 8], ["2.2.a_ae", "2.256.acm_chc", 8], ["2.2.a_a", "2.256.acm_chc", 8], ["2.2.a_e", "2.256.acm_chc", 8], ["2.2.e_i", "2.256.acm_chc", 8], ["2.2.ac_c", "2.16777216.ayge_imhifg", 24], ["2.2.a_ac", "2.16777216.ayge_imhifg", 24], ["2.2.a_c", "2.16777216.ayge_imhifg", 24], ["2.2.c_c", "2.16777216.ayge_imhifg", 24]], "twist_count": 11, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.2.a", "1.2.c"], "simple_multiplicities": [1, 1], "simple_factors": ["1.2.aA", "1.2.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": true, "real_poly": [1, 2], "jacobian_count": 1, "curves": ["y^2+y=x^5+x^4"], "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": 32, "geometric_splitting_field": "1.1.1.1", "splitting_field": "4.0.256.1", "geometric_splitting_polynomials": [[0, 1]], "splitting_polynomials": [[1, 0, 0, 0, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 3, "principal_polarization_count": 0, "pic_prime_gens": []}