# Stored data for abelian variety isogeny class 5.2.ah_ba_acp_fd_aic, downloaded from the LMFDB on 02 May 2026.
{"abvar_count": 2, "abvar_counts": [2, 2660, 61256, 957600, 69424562, 2281173440, 39982829098, 1029278275200, 35222880982952, 1154645016587300], "abvar_counts_str": "2 2660 61256 957600 69424562 2281173440 39982829098 1029278275200 35222880982952 1154645016587300 ", "angle_corank": 2, "angle_rank": 3, "angles": [0.123548644960916, 0.174442860055106, 0.25, 0.45688197829425, 0.546783656211941], "center_dim": 10, "cohen_macaulay_max": 1, "curve_count": -4, "curve_counts": [-4, 8, 11, 16, 56, 113, 150, 240, 515, 1048], "curve_counts_str": "-4 8 11 16 56 113 150 240 515 1048 ", "curves": [""], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 2, "dim2_factors": 2, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 5, "galois_groups": ["2T1", "4T2", "4T3"], "geom_dim1_distinct": 2, "geom_dim1_factors": 3, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 7, "geometric_extension_degree": 12, "geometric_galois_groups": ["1T1", "2T1", "4T3"], "geometric_number_fields": ["1.1.1.1", "2.0.15.1", "4.0.1088.2"], "geometric_splitting_field": "8.0.59927040000.32", "geometric_splitting_polynomials": [[4, 0, 164, 0, 125, 0, 22, 0, 1]], "group_structure_count": 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": true, "is_supersingular": false, "jacobian_count": 0, "label": "5.2.ah_ba_acp_fd_aic", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 8, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "4.0.225.1", "4.0.1088.2"], "p": 2, "p_rank": 4, "p_rank_deficit": 1, "poly": [1, -7, 26, -67, 133, -210, 266, -268, 208, -112, 32], "poly_str": "1 -7 26 -67 133 -210 266 -268 208 -112 32 ", "primitive_models": [], "q": 2, "real_poly": [1, -7, 16, -11, -3, 2], "simple_distinct": ["1.2.ac", "2.2.ad_f", "2.2.ac_d"], "simple_factors": ["1.2.acA", "2.2.ad_fA", "2.2.ac_dA"], "simple_multiplicities": [1, 1, 1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "0D", "1/2A", "1/2B", "1A", "1B", "1C", "1D"], "splitting_polynomials": [[1, 0, -6, -64, 18, 120, 884, 1360, 2453, -592, 11300, 12152, -15370, 39248, 6590, -25344, 75876, -25344, 6590, 39248, -15370, 12152, 11300, -592, 2453, 1360, 884, 120, 18, -64, -6, 0, 1]], "twist_count": 24, "twists": [["5.2.ad_g_al_r_aw", "5.4.d_e_t_bt_ce", 2], ["5.2.ad_g_ah_f_ac", "5.4.d_e_t_bt_ce", 2], ["5.2.ab_c_ab_b_g", "5.4.d_e_t_bt_ce", 2], ["5.2.b_c_b_b_ag", "5.4.d_e_t_bt_ce", 2], ["5.2.d_g_h_f_c", "5.4.d_e_t_bt_ce", 2], ["5.2.d_g_l_r_w", "5.4.d_e_t_bt_ce", 2], ["5.2.h_ba_cp_fd_ic", "5.4.d_e_t_bt_ce", 2], ["5.2.ae_i_ak_n_as", "5.8.c_ba_by_nl_vs", 3], ["5.2.a_a_ac_f_c", "5.64.bw_bte_bcbw_mtzd_elvkq", 6], ["5.2.a_a_c_f_ac", "5.64.bw_bte_bcbw_mtzd_elvkq", 6], ["5.2.e_i_k_n_s", "5.64.bw_bte_bcbw_mtzd_elvkq", 6], ["5.2.af_q_abn_cx_aem", "5.256.ar_ge_ctz_agadb_csnpw", 8], ["5.2.ab_e_ad_d_ae", "5.256.ar_ge_ctz_agadb_csnpw", 8], ["5.2.b_e_d_d_e", "5.256.ar_ge_ctz_agadb_csnpw", 8], ["5.2.f_q_bn_cx_em", "5.256.ar_ge_ctz_agadb_csnpw", 8], ["5.2.ae_k_as_bf_abu", "5.4096.bs_hzq_gvea_abzwubf_abrhgpgi", 12], ["5.2.a_c_ac_h_ac", "5.4096.bs_hzq_gvea_abzwubf_abrhgpgi", 12], ["5.2.a_c_c_h_c", "5.4096.bs_hzq_gvea_abzwubf_abrhgpgi", 12], ["5.2.e_k_s_bf_bu", "5.4096.bs_hzq_gvea_abzwubf_abrhgpgi", 12], ["5.2.ac_e_ag_j_ai", "5.16777216.ncu_aclbhmo_acafbvarkm_blezuauvdob_drdohxoivbxcei", 24], ["5.2.ac_g_ak_t_ay", "5.16777216.ncu_aclbhmo_acafbvarkm_blezuauvdob_drdohxoivbxcei", 24], ["5.2.c_e_g_j_i", "5.16777216.ncu_aclbhmo_acafbvarkm_blezuauvdob_drdohxoivbxcei", 24], ["5.2.c_g_k_t_y", "5.16777216.ncu_aclbhmo_acafbvarkm_blezuauvdob_drdohxoivbxcei", 24]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 612, "zfv_singular_count": 0, "zfv_singular_primes": []}