# Stored data for abelian variety isogeny class 5.2.ag_r_abc_be_abg, downloaded from the LMFDB on 27 April 2024.
{"label": "5.2.ag_r_abc_be_abg", "g": 5, "p": 2, "q": 2, "poly": [1, -6, 17, -28, 30, -32, 60, -112, 136, -96, 32], "poly_str": "1 -6 17 -28 30 -32 60 -112 136 -96 32 ", "slopes": ["0A", "0B", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 3, "angles": [0.0693533547549937, 0.25, 0.25, 0.339907131294691, 0.770553776539698], "angle_rank": 2, "number_fields": ["2.0.4.1", "6.0.2580992.1"], "galois_groups": ["2T1", "6T3"], "center_dim": 8, "abvar_counts": [2, 1100, 65234, 3740000, 28143302, 896967500, 26886431938, 844596720000, 38112217374998, 1149689065827500], "abvar_counts_str": "2 1100 65234 3740000 28143302 896967500 26886431938 844596720000 38112217374998 1149689065827500 ", "abvar_count": 2, "curve_counts": [-3, 3, 15, 39, 27, 51, 95, 191, 555, 1043], "curve_counts_str": "-3 3 15 39 27 51 95 191 555 1043 ", "curve_count": -3, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 4, "geometric_center_dim": 7, "geometric_number_fields": ["1.1.1.1", "6.0.2580992.1"], "geometric_galois_groups": ["1T1", "6T3"], "primitive_models": [], "is_primitive": true, "twists": [["5.2.ac_b_a_g_aq", "5.4.ac_n_abc_cy_age", 2], ["5.2.ac_b_e_ac_a", "5.4.ac_n_abc_cy_age", 2], ["5.2.c_b_ae_ac_a", "5.4.ac_n_abc_cy_age", 2], ["5.2.c_b_a_g_q", "5.4.ac_n_abc_cy_age", 2], ["5.2.g_r_bc_be_bg", "5.4.ac_n_abc_cy_age", 2], ["5.2.a_ab_c_a_ai", "5.8.g_l_i_eq_yq", 3], ["5.2.ae_h_ak_q_ay", "5.64.ao_kf_aesm_bszg_aqrga", 6], ["5.2.a_ab_ac_a_i", "5.64.ao_kf_aesm_bszg_aqrga", 6], ["5.2.e_h_k_q_y", "5.64.ao_kf_aesm_bszg_aqrga", 6], ["5.2.ae_j_ao_s_ay", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.ac_ad_i_c_aq", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.ac_f_ai_k_aq", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.a_b_ac_c_ai", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.a_b_c_c_i", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.c_ad_ai_c_q", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.c_f_i_k_q", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.e_j_o_s_y", "5.256.aco_csf_abydk_blbau_azzvpo", 8], ["5.2.a_ab_ac_a_i", "5.4096.mw_cjyn_dqtgi_allhwrg_acgsnqzsy", 12], ["5.2.ac_ab_e_e_aq", "5.16777216.abpdq_bfcdywn_apbxumjiyi_fhbywctujkaq_abkkhvcyiwapblim", 24], ["5.2.ac_d_ae_i_aq", "5.16777216.abpdq_bfcdywn_apbxumjiyi_fhbywctujkaq_abkkhvcyiwapblim", 24], ["5.2.c_ab_ae_e_q", "5.16777216.abpdq_bfcdywn_apbxumjiyi_fhbywctujkaq_abkkhvcyiwapblim", 24], ["5.2.c_d_e_i_q", "5.16777216.abpdq_bfcdywn_apbxumjiyi_fhbywctujkaq_abkkhvcyiwapblim", 24]], "twist_count": 22, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.2.ac", "3.2.ac_b_a"], "simple_multiplicities": [2, 1], "simple_factors": ["1.2.acA", "1.2.acB", "3.2.ac_b_aA"], "dim1_factors": 2, "dim2_factors": 0, "dim3_factors": 1, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 1, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 1, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 1, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": true, "real_poly": [1, -6, 7, 20, -52, 32], "jacobian_count": 0, "curves": [""], "hyp_count": 0, "geometric_splitting_field": "6.0.22906304.1", "splitting_field": "12.0.426337261060096.1", "geometric_splitting_polynomials": [[4, -14, 24, -21, 13, -3, 1]], "splitting_polynomials": [[64, 0, 0, -32, -12, 8, 8, 4, -3, -4, 0, 0, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}