# Stored data for abelian variety isogeny class 3.13.ar_fe_axt, downloaded from the LMFDB on 06 May 2024.
{"label": "3.13.ar_fe_axt", "g": 3, "p": 13, "q": 13, "poly": [1, -17, 134, -617, 1742, -2873, 2197], "poly_str": "1 -17 134 -617 1742 -2873 2197 ", "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "p_rank": 3, "p_rank_deficit": 0, "angles": [0.0772104791556333, 0.2561228541777, 0.2561228541777], "angle_rank": 1, "number_fields": ["2.0.3.1", "2.0.3.1"], "galois_groups": ["2T1", "2T1"], "center_dim": 4, "abvar_counts": [567, 4298427, 10946057472, 23694103094571, 51341099522009787, 112420114045738942464, 246973196605307985010863, 542739386390369424398926875, 1192519981354751996352349595904, 2620011687322981914904984277550147], "abvar_counts_str": "567 4298427 10946057472 23694103094571 51341099522009787 112420114045738942464 246973196605307985010863 542739386390369424398926875 1192519981354751996352349595904 2620011687322981914904984277550147 ", "abvar_count": 567, "curve_counts": [-3, 149, 2268, 29045, 372417, 4825292, 62725317, 815638469, 10604381004, 137859336029], "curve_counts_str": "-3 149 2268 29045 372417 4825292 62725317 815638469 10604381004 137859336029 ", "curve_count": -3, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.3.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["3.13.ah_o_ah", "3.169.av_ru_aknx", 2], ["3.13.ad_ag_dt", "3.169.av_ru_aknx", 2], ["3.13.d_ag_adt", "3.169.av_ru_aknx", 2], ["3.13.h_o_h", "3.169.av_ru_aknx", 2], ["3.13.r_fe_xt", "3.169.av_ru_aknx", 2], ["3.13.ao_du_aqs", "3.2197.cs_cnb_acaki", 3], ["3.13.al_ct_amc", "3.2197.cs_cnb_acaki", 3], ["3.13.ai_bs_agc", "3.2197.cs_cnb_acaki", 3], ["3.13.af_ak_el", "3.2197.cs_cnb_acaki", 3], ["3.13.af_o_af", "3.2197.cs_cnb_acaki", 3], ["3.13.af_bj_aeg", "3.2197.cs_cnb_acaki", 3], ["3.13.ac_ak_bu", "3.2197.cs_cnb_acaki", 3], ["3.13.ac_o_ac", "3.2197.cs_cnb_acaki", 3], ["3.13.ac_bj_abs", "3.2197.cs_cnb_acaki", 3], ["3.13.b_x_bu", "3.2197.cs_cnb_acaki", 3], ["3.13.e_i_bi", "3.2197.cs_cnb_acaki", 3], ["3.13.h_ak_agf", "3.2197.cs_cnb_acaki", 3], ["3.13.h_bj_fy", "3.2197.cs_cnb_acaki", 3], ["3.13.k_by_hi", "3.2197.cs_cnb_acaki", 3], ["3.13.q_em_tu", "3.2197.cs_cnb_acaki", 3], ["3.13.t_gc_bcl", "3.2197.cs_cnb_acaki", 3], ["3.13.ah_m_h", "3.28561.sp_eaig_mxpfr", 4], ["3.13.h_m_ah", "3.28561.sp_eaig_mxpfr", 4], ["3.13.av_he_abif", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.at_gc_abcl", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.aq_em_atu", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ap_ek_atv", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.am_ci_aig", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.am_dg_any", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ak_by_ahi", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.aj_s_l", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.aj_cl_aju", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ah_ak_gf", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ah_bj_afy", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ag_bz_agi", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ae_i_abi", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ad_ag_dt", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ad_p_aec", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ab_x_abu", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.a_a_acs", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.a_a_cs", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.c_ak_abu", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.c_o_c", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.c_bj_bs", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.d_p_ec", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.f_ak_ael", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.f_o_f", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.f_bj_eg", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.g_bz_gi", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.i_bs_gc", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.j_s_al", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.j_cl_ju", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.l_ct_mc", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.m_ci_ig", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.m_dg_ny", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.o_du_qs", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.p_ek_tv", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.v_he_bif", "3.4826809.acgk_bhjpad_abvwhgpgm", 6], ["3.13.ah_aj_fy", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.ah_bk_agf", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.af_aj_eg", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.af_m_f", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.af_bk_ael", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.ac_aj_bs", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.ac_m_c", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.ac_bk_abu", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.c_aj_abs", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.c_m_ac", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.c_bk_bu", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.f_aj_aeg", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.f_m_af", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.f_bk_el", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.h_aj_afy", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.h_bk_gf", "3.23298085122481.cjsbgk_cjrkzgbzrad_bhfyzbmuiltzsbgm", 12], ["3.13.a_a_adl", "3.112455406951957393129.crxjcztq_hqpvxdoynggptad_kckozbvzalekfycpliwmto", 18], ["3.13.a_a_at", "3.112455406951957393129.crxjcztq_hqpvxdoynggptad_kckozbvzalekfycpliwmto", 18], ["3.13.a_a_t", "3.112455406951957393129.crxjcztq_hqpvxdoynggptad_kckozbvzalekfycpliwmto", 18], ["3.13.a_a_dl", "3.112455406951957393129.crxjcztq_hqpvxdoynggptad_kckozbvzalekfycpliwmto", 18]], "twist_count": 78, "max_twist_degree": 18, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.13.ah", "1.13.af"], "simple_multiplicities": [1, 2], "simple_factors": ["1.13.ahA", "1.13.afA", "1.13.afB"], "dim1_factors": 3, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 2, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 3, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -17, 95, -175], "curves": [], "hyp_count": 0, "geometric_splitting_field": "2.0.3.1", "splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "splitting_polynomials": [[1, -1, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}