# Stored data for abelian variety isogeny class 6.2.a_a_e_a_a_i, downloaded from the LMFDB on 16 June 2024.
{"abvar_count": 109, "abvar_counts": [109, 4033, 1295029, 16265089, 1065385729, 65597103937, 4402343577601, 281612466003969, 26204689231890625, 1152921503533105153], "abvar_counts_str": "109 4033 1295029 16265089 1065385729 65597103937 4402343577601 281612466003969 26204689231890625 1152921503533105153 ", "angle_rank": 0, "angles": [0.138888888888889, 0.305555555555556, 0.361111111111111, 0.527777777777778, 0.805555555555556, 0.972222222222222], "center_dim": 12, "curve_count": 3, "curve_counts": [3, 5, 21, 17, 33, 65, 129, 257, 705, 1025], "curve_counts_str": "3 5 21 17 33 65 129 257 705 1025 ", "curves": ["x^{6} y^{3} + x^{6} y^{2} + x^{5} y^{3} + x^{5} y^{2} + x^{4} y^{3} + x^{5} y + x^{3} y^{3} + x^{3} y^{2} + x^{2} y^{3} + x^{3} y + x^{2} y^{2} + x y^{3} + x^{3} + x y^{2} + y^{3}", " x^{7} y^{3} + x^{5} y^{5} + x^{7} y^{2} + x^{5} y^{4} + x^{7} y + x^{6} y^{2} + x^{5} y^{3} + x^{4} y^{4} + x^{7} + x^{2} y^{5} + x^{5} y + x^{4} y^{2} + x^{3} y^{3} + x^{2} y^{4} + x y^{5} + x^{3} y^{2} + x^{2} y^{3} + x y^{4} + y^{5} + x^{4} + x^{2} y^{2} + x y^{3} + x^{3} + x y^{2} + y^{3}", " x^{10} + x^{9} y + x^{8} y^{2} + x^{6} y^{4} + x^{7} y + x^{6} y^{2} + x^{4} y^{4} + x^{7} + x^{6} y + x^{4} y^{3} + x^{6} + x^{4} y + x^{3} y^{2} + x y^{4} + x^{4} + y^{4} + 1"], "dim1_distinct": 0, "dim1_factors": 0, "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": 6, "galois_groups": ["12T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 6, "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": 36, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "12.0.1586874322944.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 3, "label": "6.2.a_a_e_a_a_i", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 504, "number_fields": ["12.0.1586874322944.1"], "p": 2, "p_rank": 0, "p_rank_deficit": 6, "poly": [1, 0, 0, 4, 0, 0, 8, 0, 0, 32, 0, 0, 64], "poly_str": "1 0 0 4 0 0 8 0 0 32 0 0 64 ", "primitive_models": [], "q": 2, "real_poly": [1, 0, -12, 4, 36, -24, -8], "simple_distinct": ["6.2.a_a_e_a_a_i"], "simple_factors": ["6.2.a_a_e_a_a_iA"], "simple_multiplicities": [1], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1/2G", "1/2H", "1/2I", "1/2J", "1/2K", "1/2L"], "splitting_field": "12.0.1586874322944.1", "splitting_polynomials": [[1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1]], "twist_count": 291, "twists": [["6.2.a_a_ae_a_a_i", "6.4.a_a_a_a_a_acm", 2], ["6.2.a_a_a_a_a_ai", "6.256.a_a_mdc_a_a_egdrcq", 8], ["6.2.a_a_a_a_a_i", "6.256.a_a_mdc_a_a_egdrcq", 8], ["6.2.ag_s_abs_ds_agm_jo", "6.512.hk_bbgy_cngou_ehwkma_foaujky_fmngjyqy", 9], ["6.2.a_a_ai_a_a_bg", "6.512.hk_bbgy_cngou_ehwkma_foaujky_fmngjyqy", 9], ["6.2.g_s_bc_m_abw_aei", "6.512.hk_bbgy_cngou_ehwkma_foaujky_fmngjyqy", 9], ["6.2.m_cu_ku_bea_cku_dwy", "6.512.hk_bbgy_cngou_ehwkma_foaujky_fmngjyqy", 9], ["6.2.am_cu_aku_bea_acku_dwy", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ak_by_agi_pg_abcy_bsy", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ai_bg_adk_hk_ano_uy", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ai_bg_adc_fk_ahk_jw", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ag_s_abk_ci_ads_fo", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ag_s_abc_m_bw_aei", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ae_i_aq_bg_abw_cm", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ae_i_ai_a_q_abg", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ae_i_ai_m_abg_cm", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ac_c_ae_a_i_ai", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ac_c_ae_m_aq_q", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ac_c_e_ae_a_q", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.a_a_a_a_a_a", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.a_a_a_m_a_a", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.a_a_i_a_a_bg", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.c_c_ae_ae_a_q", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.c_c_e_a_ai_ai", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.c_c_e_m_q_q", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.e_i_i_a_aq_abg", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.e_i_i_m_bg_cm", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.e_i_q_bg_bw_cm", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.g_s_bk_ci_ds_fo", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.g_s_bs_ds_gm_jo", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.i_bg_dc_fk_hk_jw", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.i_bg_dk_hk_no_uy", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.k_by_gi_pg_bcy_bsy", "6.262144.a_dlmsu_a_eyiuzeadc_a_dueflmdngzphg", 18], ["6.2.ae_i_am_m_ai_i", "6.35184372088832.aegdrcq_izhmptqbpky_amigxvskigelumltg_mcyrskuxobqozbfaxeoma_aiyqhorqsjfrowapmwvcouswdfc_fcazdcfqjrtawrmwappzaslhzbqkjcy", 45], ["6.2.c_c_a_a_ai_aq", "6.35184372088832.aegdrcq_izhmptqbpky_amigxvskigelumltg_mcyrskuxobqozbfaxeoma_aiyqhorqsjfrowapmwvcouswdfc_fcazdcfqjrtawrmwappzaslhzbqkjcy", 45], ["6.2.ac_c_a_ae_i_ai", "6.9223372036854775808.dfkyatnc_fdvmabqyldeetnc_fjdwwcflmkwvbxbbegfrlw_dzqrqxxufuofrbculhkwsfyvrpqma_cfzmgmihjrqmdzljyabbzwfzjhrnyfxsxpfk_yybikhkmfpogtalfdfvilsdfvdbsttrtcjmogtszrc", 63], ["6.2.ak_ca_agy_rs_abjc_cdk", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ai_bc_abw_m_ey_alc", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ai_be_acm_cy_abg_aq", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ai_bi_adw_iu_aqi_zg", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ai_bi_ads_hw_ano_ui", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ai_bk_aei_ki_ats_beu", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_o_am_am_bw_adc", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_q_ay_y_ay_bg", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_q_au_ae_cm_aey", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_s_abg_bk_ay_q", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_u_aca_ei_ahs_ls", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_u_abw_ds_agm_jw", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_u_abs_cy_aei_ge", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_w_aci_fc_ajg_oe", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_w_ace_em_ahs_ls", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ag_y_acq_ga_alc_rg", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_a_y_abk_abg_ey", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_c_q_abc_aq_dc", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_e_a_a_q_abw", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_e_i_au_a_bg", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_e_i_aq_aq_cm", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_g_ai_q_aq_i", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_g_ae_ae_y_abw", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_g_a_am_q_aq", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_g_a_ae_aq_bw", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_i_am_q_aq_q", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_i_ai_ae_bg_acm", "6.4722366482869645213696.adyrloyacm_hdvlmqyyxgeuivllo_ahvvrirwxebqiimbmfkgyiasom_fuxywhrxymdgwpopefguxzfrfxifrkoro_adbmawbrialxyzoctjviwjdwcmfarhdpzposxvbmom_beneyeypqdcszxpmesvoxuvuxhfaydrgsphkzinxmliedlfxo", 72], ["6.2.ae_i_ai_i_aq_bg", 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