# Stored data for abelian variety isogeny class 5.2.ag_q_aba_bh_abr, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 1, "abvar_counts": [1, 551, 22876, 1393479, 33501421, 2168004272, 63138363688, 1149554681487, 39154418373364, 1183443090553781], "abvar_counts_str": "1 551 22876 1393479 33501421 2168004272 63138363688 1149554681487 39154418373364 1183443090553781 ", "all_polarized_product": true, "all_unpolarized_product": true, "angle_corank": 3, "angle_rank": 2, "angles": [0.0992589862044063, 0.123548644960916, 0.186455299509879, 0.45688197829425, 0.757883870938451], "center_dim": 10, "cohen_macaulay_max": 1, "curve_count": -3, "curve_counts": [-3, 1, 3, 21, 32, 109, 207, 269, 570, 1076], "curve_counts_str": "-3 1 3 21 32 109 207 269 570 1076 ", "curves": [""], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 5, "galois_groups": ["4T2", "6T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 5, "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": 4, "geometric_extension_degree": 42, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.15.1", "2.0.7.1"], "geometric_splitting_field": "4.0.11025.2", "geometric_splitting_polynomials": [[4, 0, 11, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "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.ag_q_aba_bh_abr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 84, "newton_coelevation": 9, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.225.1", "6.0.16807.1"], "p": 2, "p_rank": 5, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -6, 16, -26, 33, -43, 66, -104, 128, -96, 32], "poly_str": "1 -6 16 -26 33 -43 66 -104 128 -96 32 ", "primitive_models": [], "principal_polarization_count": 1, "q": 2, "real_poly": [1, -6, 6, 22, -43, 13], "simple_distinct": ["2.2.ad_f", "3.2.ad_c_b"], "simple_factors": ["2.2.ad_fA", "3.2.ad_c_bA"], "simple_multiplicities": [1, 1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "0C", "0D", "0E", "1A", "1B", "1C", "1D", "1E"], "splitting_field": "24.0.10352754344108696148301025390625.1", "splitting_polynomials": [[1, 1, -1, -4, -4, 4, 17, -12, -46, -43, 44, 188, 189, -188, 44, 43, -46, 12, 17, -4, -4, 4, -1, -1, 1]], "twist_count": 56, "twists": [["5.2.a_ac_ac_d_f", "5.4.ae_k_ae_abb_ed", 2], ["5.2.a_ac_c_d_af", "5.4.ae_k_ae_abb_ed", 2], ["5.2.g_q_ba_bh_br", "5.4.ae_k_ae_abb_ed", 2], ["5.2.ad_b_e_g_az", "5.8.ag_bo_aft_xr_acmr", 3], ["5.2.a_ac_ac_d_f", "5.8.ag_bo_aft_xr_acmr", 3], ["5.2.d_b_ae_g_z", "5.64.bs_boc_yrb_lgax_dyaot", 6], ["5.2.ag_x_acj_eu_ahp", "5.128.da_enf_ejln_czsrc_bneybn", 7], ["5.2.b_c_c_ac_ab", "5.128.da_enf_ejln_czsrc_bneybn", 7], ["5.2.ad_d_ac_k_ax", "5.4096.fs_uoo_cklcl_fwagbv_mvnscxb", 12], ["5.2.d_d_c_k_x", "5.4096.fs_uoo_cklcl_fwagbv_mvnscxb", 12], ["5.2.ah_ba_acq_fg_aih", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.ae_n_abd_cc_adf", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.ac_h_an_y_abl", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.ab_c_ac_ac_b", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.a_f_af_k_at", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.a_f_f_k_t", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.c_h_n_y_bl", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.e_n_bd_cc_df", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.g_x_cj_eu_hp", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.h_ba_cq_fg_ih", "5.16384.k_dajd_abrwob_eosgouo_acrqrszsz", 14], ["5.2.ad_f_ab_al_z", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.ad_i_ak_n_al", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.a_ab_f_e_af", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.a_f_f_k_t", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.d_f_l_t_z", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.e_i_l_n_r", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.h_ba_cq_fg_ih", "5.2097152.amkn_curdus_akswxztna_bfillfayhxp_acwcdkhjpuyyon", 21], ["5.2.ae_h_af_ag_t", "5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx", 28], ["5.2.ac_b_ab_a_f", "5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx", 28], ["5.2.c_b_b_a_af", "5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx", 28], ["5.2.e_h_f_ag_at", "5.268435456.gaok_sgvbrmf_bjzyfbdaast_bzbvzoxhfbvppq_ccndbhwggsmezowyx", 28], ["5.2.af_n_az_bn_acd", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ae_i_al_n_ar", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ad_f_al_t_az", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ac_b_ab_g_an", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ab_b_b_ad_h", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ab_e_ac_j_af", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.a_ab_af_e_f", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.b_b_ab_ad_ah", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.b_e_c_j_f", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.c_b_b_g_n", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.d_f_b_al_az", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.d_i_k_n_l", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.f_n_z_bn_cd", "5.4398046511104.ainyrd_akdmekyhak_kkxqsxretbdiyo_seyftgjlowghsrnvbp_aokblkcoxiwwwoydvwaribmf", 42], ["5.2.ae_k_at_bf_abv", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.ad_k_aq_bf_abl", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.ac_d_af_k_at", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.ab_ac_e_d_al", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.ab_a_c_b_af", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.ab_g_ae_t_al", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.a_b_af_e_af", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.a_b_f_e_f", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.b_ac_ae_d_l", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.b_a_ac_b_f", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.b_g_e_t_l", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.c_d_f_k_t", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.d_k_q_bf_bl", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84], ["5.2.e_k_t_bf_bv", "5.19342813113834066795298816.adpdplexizd_ikfubpkncmlixxynagg_anaxmcbwzkmnfcpsersmjvoxqbgqk_praaexmfisdrqpsewcagagjrmyftnbfbguprp_aofglsroheazujkmwdmhcnyzwykuoorsgnxdjtjfyilgxyv", 84]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 63, "zfv_singular_count": 0, "zfv_singular_primes": []}