# Stored data for abelian variety isogeny class 5.2.ah_ba_acm_eq_ahc, downloaded from the LMFDB on 14 May 2026.
{"abvar_count": 4, "abvar_counts": [4, 5000, 114244, 6250000, 124333484, 999635000, 18913493876, 738112500000, 27192179459068, 1068490878125000], "abvar_counts_str": "4 5000 114244 6250000 124333484 999635000 18913493876 738112500000 27192179459068 1068490878125000 ", "angle_corank": 4, "angle_rank": 1, "angles": [0.25, 0.25, 0.25, 0.25, 0.615026728081308], "center_dim": 4, "curve_count": -4, "curve_counts": [-4, 8, 20, 48, 76, 56, 52, 160, 380, 968], "curve_counts_str": "-4 8 20 48 76 56 52 160 380 968 ", "curves": [""], "dim1_distinct": 2, "dim1_factors": 5, "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": 5, "galois_groups": ["2T1", "2T1"], "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": 3, "geometric_extension_degree": 4, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 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.ah_ba_acm_eq_ahc", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 40, "newton_coelevation": 3, "newton_elevation": 6, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "2.0.7.1"], "p": 2, "p_rank": 1, "p_rank_deficit": 4, "poly": [1, -7, 26, -64, 120, -184, 240, -256, 208, -112, 32], "poly_str": "1 -7 26 -64 120 -184 240 -256 208 -112 32 ", "primitive_models": [], "q": 2, "real_poly": [1, -7, 16, -8, -16, 16], "simple_distinct": ["1.2.ac", "1.2.b"], "simple_factors": ["1.2.acA", "1.2.acB", "1.2.acC", "1.2.acD", "1.2.bA"], "simple_multiplicities": [4, 1], "slopes": ["0A", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1/2G", "1/2H", "1A"], "splitting_field": "4.0.784.1", "splitting_polynomials": [[4, 0, -3, 0, 1]], "twist_count": 130, "twists": [["5.2.aj_bq_aey_ku_aro", "5.4.d_u_bw_ge_lc", 2], ["5.2.af_o_ay_bg_abo", "5.4.d_u_bw_ge_lc", 2], ["5.2.ad_g_ai_q_ay", "5.4.d_u_bw_ge_lc", 2], ["5.2.ab_c_a_i_ai", "5.4.d_u_bw_ge_lc", 2], ["5.2.b_c_a_i_i", "5.4.d_u_bw_ge_lc", 2], ["5.2.d_g_i_q_y", "5.4.d_u_bw_ge_lc", 2], ["5.2.f_o_y_bg_bo", "5.4.d_u_bw_ge_lc", 2], ["5.2.h_ba_cm_eq_hc", "5.4.d_u_bw_ge_lc", 2], ["5.2.j_bq_ey_ku_ro", "5.4.d_u_bw_ge_lc", 2], ["5.2.ab_c_c_a_i", "5.8.l_ce_ey_a_ayq", 3], ["5.2.f_o_bg_ci_do", "5.8.l_ce_ey_a_ayq", 3], ["5.2.d_g_g_a_ae", "5.32.br_bim_rky_gdbk_bolgy", 5], ["5.2.ah_ba_aco_ey_ahs", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.af_o_abg_ci_ado", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.af_o_abe_ce_adk", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ad_g_aq_bc_abk", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ad_g_ak_q_ay", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ad_g_ac_ai_y", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ab_c_ag_i_ai", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ab_c_a_ae_e", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.b_c_ac_a_ai", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.b_c_a_ae_ae", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.b_c_g_i_i", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.d_g_c_ai_ay", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.d_g_k_q_y", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.d_g_q_bc_bk", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.f_o_be_ce_dk", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.h_ba_co_ey_hs", "5.64.aj_mi_adkq_cipk_ampfc", 6], ["5.2.ah_bc_acy_ga_ajo", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.af_k_ae_ay_ce", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.af_q_abk_cq_aea", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.af_s_abs_dk_afg", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_c_e_ai_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_e_a_am_y", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_i_am_u_ay", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_k_au_bo_ace", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_m_ay_ca_acu", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_ag_i_i_ay", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_ac_e_a_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_a_a_ae_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_c_a_ai_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_e_ae_m_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_g_ae_q_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_i_ai_bc_ay", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ab_k_ai_bo_ay", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_ag_ai_i_y", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_ac_ae_a_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_a_a_ae_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_c_a_ai_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_e_e_m_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_g_e_q_i", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_i_i_bc_y", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.b_k_i_bo_y", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.d_c_ae_ai_ai", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.d_e_a_am_ay", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.d_i_m_u_y", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.d_k_u_bo_ce", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.d_m_y_ca_cu", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.f_k_e_ay_ace", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.f_q_bk_cq_ea", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.f_s_bs_dk_fg", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.h_bc_cy_ga_jo", "5.256.adt_fcy_achca_abndym_ccflwq", 8], ["5.2.ad_g_ag_a_e", "5.1024.acf_hoy_anhjs_wypmm_abeetopk", 10], ["5.2.ab_c_ac_a_ae", "5.1024.acf_hoy_anhjs_wypmm_abeetopk", 10], ["5.2.b_c_c_a_e", "5.1024.acf_hoy_anhjs_wypmm_abeetopk", 10], ["5.2.ah_ba_aco_ey_ahs", "5.4096.vn_idie_bwngge_holudho_vvzikurg", 12], ["5.2.ab_c_a_a_a", "5.65536.adsb_geltg_agdsqvzc_eaycpouia_abvodftozxdo", 16], ["5.2.b_c_a_a_a", "5.65536.adsb_geltg_agdsqvzc_eaycpouia_abvodftozxdo", 16], ["5.2.af_m_ao_e_i", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.af_q_abm_cu_aei", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.af_q_abi_ci_adk", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_c_c_ai_q", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_e_ae_e_ae", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_e_ac_e_ai", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_g_ag_e_a", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_i_as_bg_abw", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_i_aq_bc_abs", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_i_ao_bc_abo", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_k_aw_bo_acm", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ad_k_as_bk_abw", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_ae_g_e_aq", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_ac_ac_a_q", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_ac_e_e_am", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_a_ae_e_e", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_a_c_ae_a", "5.16777216.abnqf_ylrols_ahpqvdcirg_bghxilsbkdoi_aenvcxfmjfbwezg", 24], ["5.2.ab_a_c_e_ai", 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