# Stored data for abelian variety isogeny class 3.5.ah_bc_acv, downloaded from the LMFDB on 06 June 2024.
{"abvar_count": 39, "abvar_counts": [39, 21411, 2433600, 257467275, 31848630099, 3911943859200, 477138328685967, 59269094666235675, 7436143498629268800, 931563556380096885531], "abvar_counts_str": "39 21411 2433600 257467275 31848630099 3911943859200 477138328685967 59269094666235675 7436143498629268800 931563556380096885531 ", "angle_rank": 2, "angles": [0.1857497156829, 0.26594214021463, 0.480916950983767], "center_dim": 6, "curve_count": -1, "curve_counts": [-1, 33, 152, 661, 3259, 16020, 78175, 388421, 1949336, 9768153], "curve_counts_str": "-1 33 152 661 3259 16020 78175 388421 1949336 9768153 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 1, "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": 3, "galois_groups": ["2T1", "4T2"], "geom_dim1_distinct": 2, "geom_dim1_factors": 3, "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": 4, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.11.1", "2.0.4.1"], "geometric_splitting_field": "4.0.1936.1", "geometric_splitting_polynomials": [[9, 0, -5, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "jacobian_count": 0, "label": "3.5.ah_bc_acv", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "number_fields": ["2.0.11.1", "4.0.144.1"], "p": 5, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 3]], "poly": [1, -7, 28, -73, 140, -175, 125], "poly_str": "1 -7 28 -73 140 -175 125 ", "primitive_models": [], "principal_polarization_count": 3, "q": 5, "real_poly": [1, -7, 13, -3], "simple_distinct": ["1.5.ad", "2.5.ae_l"], "simple_factors": ["1.5.adA", "2.5.ae_lA"], "simple_multiplicities": [1, 1], "size": 6, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.303595776.1", "splitting_polynomials": [[81, 0, 45, 0, 16, 0, 5, 0, 1]], "twist_count": 32, "twists": [["3.5.ab_e_ah", "3.25.h_bq_lz", 2], ["3.5.b_e_h", "3.25.h_bq_lz", 2], ["3.5.h_bc_cv", "3.25.h_bq_lz", 2], ["3.5.f_h_c", "3.125.ba_up_kbc", 3], ["3.5.af_k_ar", "3.625.bj_asw_acezp", 4], ["3.5.ab_ac_x", "3.625.bj_asw_acezp", 4], ["3.5.b_ac_ax", "3.625.bj_asw_acezp", 4], ["3.5.f_k_r", "3.625.bj_asw_acezp", 4], ["3.5.al_cd_agc", "3.15625.pe_dvcx_sbzts", 6], ["3.5.af_h_ac", "3.15625.pe_dvcx_sbzts", 6], ["3.5.ad_ab_s", "3.15625.pe_dvcx_sbzts", 6], ["3.5.d_ab_as", "3.15625.pe_dvcx_sbzts", 6], ["3.5.l_cd_gc", "3.15625.pe_dvcx_sbzts", 6], ["3.5.aj_bp_aek", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ah_bf_ade", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.af_n_aba", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ad_f_ag", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ad_l_as", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ab_b_o", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ab_h_c", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.b_b_ao", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.b_h_ac", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.d_f_g", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.d_l_s", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.f_n_ba", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.h_bf_de", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.j_bp_ek", "3.244140625.abfkw_geiopb_snykvyelo", 12], ["3.5.ad_ad_y", "3.59604644775390625.azqjwmo_ceadyjebgsxdv_abgrcpksjtjvyjczuteq", 24], ["3.5.ad_n_ay", "3.59604644775390625.azqjwmo_ceadyjebgsxdv_abgrcpksjtjvyjczuteq", 24], ["3.5.d_ad_ay", "3.59604644775390625.azqjwmo_ceadyjebgsxdv_abgrcpksjtjvyjczuteq", 24], ["3.5.d_n_y", "3.59604644775390625.azqjwmo_ceadyjebgsxdv_abgrcpksjtjvyjczuteq", 24]], "zfv_index": 44, "zfv_index_factorization": [[2, 2], [11, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1331}