# Stored data for abelian variety isogeny class 5.2.ah_x_abu_co_adk, downloaded from the LMFDB on 02 May 2026.
{"abvar_count": 1, "abvar_counts": [1, 875, 35152, 4046875, 51759671, 861224000, 26120764391, 663788671875, 28718559595024, 1194516157296875], "abvar_counts_str": "1 875 35152 4046875 51759671 861224000 26120764391 663788671875 28718559595024 1194516157296875 ", "angle_corank": 4, "angle_rank": 1, "angles": [0.0516399385853587, 0.25, 0.25, 0.25, 0.718306605252025], "center_dim": 6, "curve_count": -4, "curve_counts": [-4, 2, 11, 42, 46, 47, 94, 130, 407, 1082], "curve_counts_str": "-4 2 11 42 46 47 94 130 407 1082 ", "curves": [""], "dim1_distinct": 1, "dim1_factors": 3, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 5, "galois_groups": ["2T1", "4T2"], "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": 12, "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_x_abu_co_adk", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 5, "newton_elevation": 4, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "4.0.441.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 3, "poly": [1, -7, 23, -46, 66, -88, 132, -184, 184, -112, 32], "poly_str": "1 -7 23 -46 66 -88 132 -184 184 -112 32 ", "primitive_models": [], "q": 2, "real_poly": [1, -7, 13, 10, -52, 40], "simple_distinct": ["1.2.ac", "2.2.ab_ab"], "simple_factors": ["1.2.acA", "1.2.acB", "1.2.acC", "2.2.ab_abA"], "simple_multiplicities": [3, 1], "slopes": ["0A", "0B", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1A", "1B"], "splitting_field": "8.0.49787136.1", "splitting_polynomials": [[16, 0, 12, 0, 5, 0, 3, 0, 1]], "twist_count": 150, "twists": [["5.2.af_l_ag_aw_ce", "5.4.ad_r_abw_eu_alc", 2], ["5.2.ad_d_ac_k_ay", "5.4.ad_r_abw_eu_alc", 2], ["5.2.ab_ab_g_c_ai", "5.4.ad_r_abw_eu_alc", 2], ["5.2.b_ab_ag_c_i", "5.4.ad_r_abw_eu_alc", 2], ["5.2.d_d_c_k_y", "5.4.ad_r_abw_eu_alc", 2], ["5.2.f_l_g_aw_ace", "5.4.ad_r_abw_eu_alc", 2], ["5.2.h_x_bu_co_dk", "5.4.ad_r_abw_eu_alc", 2], ["5.2.ae_l_aw_bq_acm", "5.8.c_ah_aca_cu_ts", 3], ["5.2.ab_ab_c_a_ae", "5.8.c_ah_aca_cu_ts", 3], ["5.2.c_f_i_m_u", "5.8.c_ah_aca_cu_ts", 3], ["5.2.ai_bj_ady_ik_ano", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ag_v_aca_dw_aga", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ag_v_aby_dq_afo", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.af_l_as_bg_aca", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ae_l_ay_bs_acq", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ae_l_as_ba_abg", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ad_d_c_ai_m", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ac_f_am_u_abc", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ac_f_ai_m_au", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ac_f_ag_o_aq", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ac_f_a_ae_u", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.ab_ab_ag_i_e", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.a_d_ae_e_am", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.a_d_ac_k_a", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.a_d_c_k_a", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.a_d_e_e_m", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.b_ab_ac_a_e", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.b_ab_g_i_ae", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.c_f_a_ae_au", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.c_f_g_o_q", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.c_f_m_u_bc", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.d_d_ac_ai_am", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.e_l_s_ba_bg", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.e_l_w_bq_cm", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.e_l_y_bs_cq", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.f_l_s_bg_ca", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.g_v_by_dq_fo", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.g_v_ca_dw_ga", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.i_bj_dy_ik_no", "5.64.as_pl_agvg_dfpo_azeke", 6], ["5.2.af_n_ay_bm_ace", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ad_ab_k_ac_aq", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ad_f_a_ak_y", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ad_h_ao_w_abg", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ab_af_k_g_abg", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ab_ad_a_c_i", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ab_b_ae_g_ai", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ab_d_c_ac_q", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ab_f_ai_k_ay", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.b_af_ak_g_bg", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.b_ad_a_c_ai", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.b_b_e_g_i", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.b_d_ac_ac_aq", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.b_f_i_k_y", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.d_ab_ak_ac_q", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.d_f_a_ak_ay", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.d_h_o_w_bg", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.f_n_y_bm_ce", "5.256.aex_ldh_aptdo_plnoy_albhoou", 8], ["5.2.ag_p_ao_ao_bw", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.ae_f_a_ae_e", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.ac_ab_g_c_aq", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.a_ad_ae_e_m", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.a_ad_e_e_am", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.c_ab_ag_c_q", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.e_f_a_ae_ae", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.g_p_o_ao_abw", "5.4096.sk_gdrl_bhsazw_fahvixs_ohkcuujg", 12], ["5.2.ag_x_aci_es_ahk", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_h_ae_ag_q", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_h_ac_as_bo", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_j_ak_e_e", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_n_abe_ce_adk", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_n_abc_cc_adc", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_n_aba_bw_acq", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ae_p_abi_cs_aea", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ad_b_e_e_au", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ad_f_am_u_ay", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ad_f_ai_q_abc", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_af_o_g_abo", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_ad_k_e_abc", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_b_ac_a_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_b_c_ag_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_b_c_a_ae", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_d_ac_ac_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_d_ac_e_ae", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_d_a_ak_q", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_f_ae_e_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_h_ao_y_abo", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_h_am_ba_abg", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_h_ak_y_abc", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_h_ai_s_aq", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_j_ao_bi_abo", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_j_am_bg_abg", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ac_l_aq_bu_abw", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ab_ad_i_e_au", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ab_ab_ac_e_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ab_b_a_ae_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ab_b_e_a_e", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.ab_d_ag_i_aq", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_af_a_g_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_ad_a_e_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_ab_ac_ac_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_ab_a_c_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_ab_c_ac_ai", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_b_ac_e_e", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_b_a_ag_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_b_a_a_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_b_c_e_ae", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_d_a_ac_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_d_a_e_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_f_ag_i_ay", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_f_ac_q_ae", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_f_a_o_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_f_c_q_e", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_f_g_i_y", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_h_ac_w_ai", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_h_a_y_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_h_c_w_i", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.a_j_a_bi_a", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.b_ad_ai_e_u", "5.16777216.asra_cgyjbd_qprcmhbk_ecexmnderqm_adgynwdzyhwryma", 24], ["5.2.b_ab_c_e_a", 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