# Stored data for abelian variety isogeny class 4.3.a_g_a_bb, downloaded from the LMFDB on 30 May 2026.
{"abvar_count": 169, "abvar_counts": [169, 28561, 456976, 68574961, 3515659849, 208827064576, 22897727514649, 1947408269043601, 150064135231503376, 12359864173870702801], "abvar_counts_str": "169 28561 456976 68574961 3515659849 208827064576 22897727514649 1947408269043601 150064135231503376 12359864173870702801 ", "angle_corank": 4, "angle_rank": 0, "angles": [0.333333333333333, 0.333333333333333, 0.666666666666667, 0.666666666666667], "center_dim": 4, "curve_count": 4, "curve_counts": [4, 22, 28, 118, 244, 514, 2188, 6886, 19684, 60022], "curve_counts_str": "4 22 28 118 244 514 2188 6886 19684 60022 ", "curves": ["x*y+t^2=y^2*z+z^3+x^2*t+y^2*t=0", "x*y+t^2=y^2*z-z^3+x^2*t+y^2*t=0", "x^2+y^2+z*t=y^3+y^2*z+z^3+x*z*t+y*z*t+x*t^2-y*t^2+z*t^2-t^3=0", "x^2+y^2+z*t=y^3+y^2*z+z^3+x*z*t-y*z*t+z^2*t-x*t^2-y*t^2-z*t^2=0"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 2, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 4, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 4, "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": 1, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 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": true, "jacobian_count": 4, "label": "4.3.a_g_a_bb", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 60, "newton_coelevation": 0, "newton_elevation": 6, "noncyclic_primes": [13], "number_fields": ["4.0.144.1"], "p": 3, "p_rank": 0, "p_rank_deficit": 4, "poly": [1, 0, 6, 0, 27, 0, 54, 0, 81], "poly_str": "1 0 6 0 27 0 54 0 81 ", "primitive_models": [], "q": 3, "real_poly": [1, 0, -6, 0, 9], "simple_distinct": ["2.3.a_d"], "simple_factors": ["2.3.a_dA", "2.3.a_dB"], "simple_multiplicities": [2], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1/2G", "1/2H"], "splitting_field": "4.0.144.1", "splitting_polynomials": [[1, 0, -1, 0, 1]], "twist_count": 51, "twists": [["4.3.a_am_a_cc", "4.27.a_aee_a_gmg", 3], ["4.3.a_ad_a_a", "4.27.a_aee_a_gmg", 3], ["4.3.am_co_aii_rr", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.ag_m_a_abb", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.ag_s_abk_cl", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.a_ag_a_bb", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.a_a_a_j", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.g_m_a_abb", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.g_s_bk_cl", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.m_co_ii_rr", "4.81.bk_bfe_rgq_hckp", 4], ["4.3.a_a_a_aj", "4.6561.mm_dtbm_spumq_cqvujbf", 8], ["4.3.aj_bn_aee_ii", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ag_j_s_acu", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ag_v_acc_ee", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ad_a_j_as", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ad_d_a_a", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ad_j_as_bk", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.ad_m_abb_cc", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_aj_a_bk", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_a_a_as", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_d_a_a", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_j_a_bk", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_m_a_cc", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.d_a_aj_as", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.d_d_a_a", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.d_j_s_bk", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.d_m_bb_cc", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.g_j_as_acu", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.g_v_cc_ee", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.j_bn_ee_ii", "4.531441.aiqi_bgoqjc_acsgaivae_dqrmgjsfqs", 12], ["4.3.a_d_a_j", "4.14348907.a_aevpoue_a_itnqubocmig", 15], ["4.3.ad_g_aj_j", "4.3486784401.nlkm_eiwrgsxm_xitbkecxyeq_dpcpruxywswqcpf", 20], ["4.3.d_g_j_j", "4.3486784401.nlkm_eiwrgsxm_xitbkecxyeq_dpcpruxywswqcpf", 20], ["4.3.ag_p_as_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_g_aj_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_ag_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_ad_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_a_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_d_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.a_g_a_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.d_g_j_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.g_p_s_s", "4.282429536481.ajhxgi_blwphtmmrc_adkcbmuzjopjdye_eybawavrnexqsmetes", 24], ["4.3.ad_d_aj_bb", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.ad_d_j_abb", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.a_d_aj_a", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.a_d_j_a", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.d_d_aj_abb", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.d_d_j_bb", "4.150094635296999121.akawirwi_bsbatkmruhrozc_aegmatuzxjcqnnqgwhawe_grejrmopwqndogmaqavuhdxoss", 36], ["4.3.a_a_a_a", "4.79766443076872509863361.akvicfosmi_bzfpyktbuwtwhkbxhc_afinxiulrxiacvuuamvmfviilue_jafgvochsbnetaeoucxytmvuhoafqzisgs", 48], ["4.3.a_ad_a_j", "4.42391158275216203514294433201.alrjnscblzci_chopqrrwbwclppnndfplpc_agrtgldjymswmtgdjjpkaajnpxbfwtkse_metmbethreamlvnsirkqdggkxhyxytocnqckyeydus", 60]]}