# Stored data for abelian variety isogeny class 5.2.ag_r_aba_w_aq, downloaded from the LMFDB on 01 May 2026.
{"abvar_count": 4, "abvar_counts": [4, 2000, 166972, 9000000, 66439844, 1586234000, 24004034492, 656100000000, 29085798910324, 1000750150250000], "abvar_counts_str": "4 2000 166972 9000000 66439844 1586234000 24004034492 656100000000 29085798910324 1000750150250000 ", "angle_corank": 4, "angle_rank": 1, "angles": [0.209784688372417, 0.25, 0.25, 0.25, 0.790215311627583], "center_dim": 6, "curve_count": -3, "curve_counts": [-3, 3, 21, 55, 57, 87, 81, 127, 417, 903], "curve_counts_str": "-3 3 21 55 57 87 81 127 417 903 ", "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": 4, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.15.1"], "geometric_splitting_field": "2.0.15.1", "geometric_splitting_polynomials": [[4, -1, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "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_r_aba_w_aq", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 5, "newton_elevation": 4, "noncyclic_primes": [2], "number_fields": ["2.0.4.1", "4.0.225.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 3, "poly": [1, -6, 17, -26, 22, -16, 44, -104, 136, -96, 32], "poly_str": "1 -6 17 -26 22 -16 44 -104 136 -96 32 ", "primitive_models": [], "q": 2, "real_poly": [1, -6, 7, 22, -60, 40], "simple_distinct": ["1.2.ac", "2.2.a_ab"], "simple_factors": ["1.2.acA", "1.2.acB", "1.2.acC", "2.2.a_abA"], "simple_multiplicities": [3, 1], "slopes": ["0A", "0B", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1A", "1B"], "splitting_field": "8.0.12960000.1", "splitting_polynomials": [[1, 0, -3, 0, 8, 0, -3, 0, 1]], "twist_count": 100, "twists": [["5.2.ac_b_c_g_aq", "5.4.ac_v_abg_gq_ahk", 2], ["5.2.c_b_ac_g_q", "5.4.ac_v_abg_gq_ahk", 2], ["5.2.g_r_ba_w_q", "5.4.ac_v_abg_gq_ahk", 2], ["5.2.aj_bp_aes_kc_aqi", "5.8.m_df_oy_cdc_glk", 3], ["5.2.ad_f_ac_ai_u", "5.8.m_df_oy_cdc_glk", 3], ["5.2.ad_f_ac_ac_i", "5.8.m_df_oy_cdc_glk", 3], ["5.2.a_ab_e_e_ae", "5.8.m_df_oy_cdc_glk", 3], ["5.2.d_f_k_q_u", "5.8.m_df_oy_cdc_glk", 3], ["5.2.ag_t_abm_cg_adc", "5.16.bm_zh_kbw_crhg_msps", 4], ["5.2.ac_d_ac_k_aq", "5.16.bm_zh_kbw_crhg_msps", 4], ["5.2.c_d_c_k_q", "5.16.bm_zh_kbw_crhg_msps", 4], ["5.2.g_t_bm_cg_dc", "5.16.bm_zh_kbw_crhg_msps", 4], ["5.2.ah_z_ack_eq_ahg", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.af_n_aw_be_abo", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.ae_h_ai_m_au", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.ad_f_ak_q_au", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.ab_b_ac_a_e", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.ab_b_ac_g_ai", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.a_ab_ae_e_e", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.b_b_c_a_ae", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.b_b_c_g_i", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.d_f_c_ai_au", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.d_f_c_ac_ai", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.e_h_i_m_u", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.f_n_w_be_bo", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.h_z_ck_eq_hg", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.j_bp_es_kc_qi", "5.64.w_qz_iiq_dqyy_betvc", 6], ["5.2.ae_j_am_o_aq", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ae_l_au_bi_abw", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ac_ad_k_c_ay", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ac_ab_g_ac_ai", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ac_f_ag_k_ai", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ac_h_ak_w_ay", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_ad_a_c_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_ab_a_ac_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_b_a_g_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_d_a_k_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_f_a_k_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.a_h_a_w_a", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.c_ad_ak_c_y", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.c_ab_ag_ac_i", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.c_f_g_k_i", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.c_h_k_w_y", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.e_j_m_o_q", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.e_l_u_bi_bw", "5.256.afa_lsb_aqyyq_qyrnk_amfkpka", 8], ["5.2.ae_j_aq_bc_abs", "5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm", 12], ["5.2.a_b_ae_e_ae", "5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm", 12], ["5.2.a_b_e_e_e", "5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm", 12], ["5.2.e_j_q_bc_bs", "5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm", 12], ["5.2.ah_bb_acu_fq_aiy", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.af_j_ac_aw_bw", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.af_l_am_e_e", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.af_p_abk_cq_aea", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.af_p_abg_ce_adg", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.af_r_abq_de_aey", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ad_d_a_ak_y", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ad_f_ag_e_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ad_h_am_s_ay", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ad_j_as_bg_abw", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ad_l_ay_bu_acu", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_ab_g_e_au", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_b_c_e_am", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_d_ag_i_ai", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_d_ac_i_am", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_f_ak_q_ay", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ac_f_ag_q_au", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_ad_c_c_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_ab_a_e_ae", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_d_ae_i_am", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_d_a_ae_i", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_d_a_c_i", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.ab_f_ag_k_aq", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.a_ab_a_e_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.a_b_a_e_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.a_d_a_i_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.a_f_a_q_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_ad_ac_c_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_ab_a_e_e", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_d_a_ae_ai", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_d_a_c_ai", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_d_e_i_m", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.b_f_g_k_q", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_ab_ag_e_u", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_b_ac_e_m", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_d_c_i_m", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_d_g_i_i", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_f_g_q_u", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.c_f_k_q_y", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.d_d_a_ak_ay", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.d_f_g_e_a", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.d_h_m_s_y", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.d_j_s_bg_bw", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.d_l_y_bu_cu", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.f_j_c_aw_abw", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.f_l_m_e_ae", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.f_p_bg_ce_dg", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.f_p_bk_cq_ea", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.f_r_bq_de_ey", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24], ["5.2.h_bb_cu_fq_iy", "5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs", 24]]}