# Stored data for abelian variety isogeny class 5.2.ag_s_abh_bs_ace, downloaded from the LMFDB on 02 May 2026.
{"abvar_count": 4, "abvar_counts": [4, 2600, 100048, 6890000, 53126324, 1040499200, 32604824284, 849412980000, 35849268493168, 1174955063165000], "abvar_counts_str": "4 2600 100048 6890000 53126324 1040499200 32604824284 849412980000 35849268493168 1174955063165000 ", "angle_corank": 2, "angle_rank": 3, "angles": [0.161334789179573, 0.25, 0.25, 0.32700905884545, 0.73988280264235], "center_dim": 8, "curve_count": -3, "curve_counts": [-3, 5, 18, 49, 47, 62, 123, 193, 522, 1065], "curve_counts_str": "-3 5 18 49 47 62 123 193 522 1065 ", "curves": [""], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 5, "galois_groups": ["2T1", "6T11"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 7, "geometric_extension_degree": 4, "geometric_galois_groups": ["1T1", "6T11"], "geometric_number_fields": ["1.1.1.1", "6.0.2464727.1"], "geometric_splitting_field": "6.0.564422483.1", "geometric_splitting_polynomials": [[212, -182, 209, -55, 30, -3, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 0, "label": "5.2.ag_s_abh_bs_ace", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 7, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "6.0.2464727.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 2, "poly": [1, -6, 18, -33, 44, -56, 88, -132, 144, -96, 32], "poly_str": "1 -6 18 -33 44 -56 88 -132 144 -96 32 ", "primitive_models": [], "q": 2, "real_poly": [1, -6, 8, 15, -44, 28], "simple_distinct": ["1.2.ac", "3.2.ac_c_ab"], "simple_factors": ["1.2.acA", "1.2.acB", "3.2.ac_c_abA"], "simple_multiplicities": [2, 1], "slopes": ["0A", "0B", "0C", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B", "1C"], "splitting_field": "12.0.24882705139830784.1", "splitting_polynomials": [[64, 0, 0, 0, 32, 0, 1, 0, 8, 0, 0, 0, 1]], "twist_count": 22, "twists": [["5.2.ac_c_ab_i_aq", "5.4.a_q_ab_ei_ai", 2], ["5.2.ac_c_b_e_ai", "5.4.a_q_ab_ei_ai", 2], ["5.2.c_c_ab_e_i", "5.4.a_q_ab_ei_ai", 2], ["5.2.c_c_b_i_q", "5.4.a_q_ab_ei_ai", 2], ["5.2.g_s_bh_bs_ce", "5.4.a_q_ab_ei_ai", 2], ["5.2.a_a_d_c_ac", "5.8.j_bn_eh_km_bci", 3], ["5.2.ae_i_an_w_abi", "5.64.ad_cp_ab_algy_bkei", 6], ["5.2.a_a_ad_c_c", "5.64.ad_cp_ab_algy_bkei", 6], ["5.2.e_i_n_w_bi", "5.64.ad_cp_ab_algy_bkei", 6], ["5.2.ae_k_ar_ba_abk", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.ac_ac_h_a_am", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.ac_g_aj_q_au", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.a_c_ab_g_ae", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.a_c_b_g_e", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.c_ac_ah_a_m", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.c_g_j_q_u", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.e_k_r_ba_bk", "5.256.acm_cii_ablmv_bgegu_aznuuq", 8], ["5.2.a_a_ad_c_c", "5.4096.ev_apxl_aebeub_cixzvc_bjrzqqdc", 12], ["5.2.ac_a_d_e_ao", "5.16777216.accxv_cbibqyl_abfivrrjvqv_mjjqumrmahbk_adkwsdvbjlmxaswm", 24], ["5.2.ac_e_af_m_as", "5.16777216.accxv_cbibqyl_abfivrrjvqv_mjjqumrmahbk_adkwsdvbjlmxaswm", 24], ["5.2.c_a_ad_e_o", "5.16777216.accxv_cbibqyl_abfivrrjvqv_mjjqumrmahbk_adkwsdvbjlmxaswm", 24], ["5.2.c_e_f_m_s", "5.16777216.accxv_cbibqyl_abfivrrjvqv_mjjqumrmahbk_adkwsdvbjlmxaswm", 24]]}