# Stored data for abelian variety isogeny class 2.16.aq_ds, downloaded from the LMFDB on 07 November 2025.
{"abvar_count": 81, "abvar_counts": [81, 50625, 15752961, 4228250625, 1095222947841, 281200199450625, 72040003462430721, 18445618199572250625, 4722294425687923097601, 1208921207935207812890625], "abvar_counts_str": "81 50625 15752961 4228250625 1095222947841 281200199450625 72040003462430721 18445618199572250625 4722294425687923097601 1208921207935207812890625 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.0, 0.0, 0.0, 0.0], "center_dim": 1, "curve_count": 1, "curve_counts": [1, 193, 3841, 64513, 1044481, 16760833, 268369921, 4294705153, 68718428161, 1099507433473], "curve_counts_str": "1 193 3841 64513 1044481 16760833 268369921 4294705153 68718428161 1099507433473 ", "curves": ["y^2+y=x^5+a^3+a^2+a"], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["1T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 1, "geometric_extension_degree": 1, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": false, "is_simple": false, "is_squarefree": false, "is_supersingular": true, "jacobian_count": 1, "label": "2.16.aq_ds", "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "max_twist_degree": 12, "newton_coelevation": 0, "newton_elevation": 2, "number_fields": ["1.1.1.1"], "p": 2, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, -16, 96, -256, 256], "poly_str": "1 -16 96 -256 256 ", "primitive_models": ["2.2.a_ae", "2.2.a_e", "2.4.a_ai"], "q": 16, "real_poly": [1, -16, 64], "simple_distinct": ["1.16.ai"], "simple_factors": ["1.16.aiA", "1.16.aiB"], "simple_multiplicities": [2], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "1.1.1.1", "splitting_polynomials": [[0, 1]], "twist_count": 19, "twists": [["2.16.a_abg", "2.256.acm_chc", 2], ["2.16.q_ds", "2.256.acm_chc", 2], ["2.16.ae_a", "2.4096.ajw_bkjg", 3], ["2.16.i_bw", "2.4096.ajw_bkjg", 3], ["2.16.ai_bg", "2.65536.abnk_wjrs", 4], ["2.16.a_bg", "2.65536.abnk_wjrs", 4], ["2.16.i_bg", "2.65536.abnk_wjrs", 4], ["2.16.e_q", "2.1048576.agbo_ntyxc", 5], ["2.16.am_cm", "2.16777216.ayge_imhifg", 6], ["2.16.ai_bw", "2.16777216.ayge_imhifg", 6], ["2.16.a_q", "2.16777216.ayge_imhifg", 6], ["2.16.e_a", "2.16777216.ayge_imhifg", 6], ["2.16.m_cm", "2.16777216.ayge_imhifg", 6], ["2.16.a_a", "2.4294967296.aoxum_dfkyatnc", 8], ["2.16.ae_q", "2.1099511627776.ajeqpk_bfpjopkats", 10], ["2.16.ae_bg", "2.281474976710656.afqwfme_lzbidrmtlxg", 12], ["2.16.a_aq", "2.281474976710656.afqwfme_lzbidrmtlxg", 12], ["2.16.e_bg", "2.281474976710656.afqwfme_lzbidrmtlxg", 12]]}