# Stored data for abelian variety isogeny class 3.2.ae_j_ap, downloaded from the LMFDB on 09 November 2024. {"abvar_count": 1, "abvar_counts": [1, 71, 421, 2059, 25621, 209237, 1560896, 15222187, 151446751, 1147846421], "abvar_counts_str": "1 71 421 2059 25621 209237 1560896 15222187 151446751 1147846421 ", "angle_rank": 1, "angles": [0.0435981566527365, 0.329312442367022, 0.527830414775835], "center_dim": 6, "curve_count": -1, "curve_counts": [-1, 7, 8, 7, 24, 52, 90, 231, 575, 1092], "curve_counts_str": "-1 7 8 7 24 52 90 231 575 1092 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T1"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 7, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 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": true, "is_squarefree": true, "jacobian_count": 0, "label": "3.2.ae_j_ap", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 42, "number_fields": ["6.0.16807.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -4, 9, -15, 18, -16, 8], "poly_str": "1 -4 9 -15 18 -16 8 ", "primitive_models": [], "principal_polarization_count": 1, "q": 2, "real_poly": [1, -4, 3, 1], "simple_distinct": ["3.2.ae_j_ap"], "simple_factors": ["3.2.ae_j_apA"], "simple_multiplicities": [1], "size": 1, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.16807.1", "splitting_polynomials": [[1, -1, 1, -1, 1, -1, 1]], "twist_count": 14, "twists": [["3.2.e_j_p", "3.4.c_ad_an", 2], ["3.2.d_c_ab", "3.128.abn_bih_asan", 7], ["3.2.d_j_n", "3.128.abn_bih_asan", 7], ["3.2.ad_c_b", "3.16384.kb_echv_uebrj", 14], ["3.2.ad_j_an", "3.16384.kb_echv_uebrj", 14], ["3.2.ab_f_ad", "3.16384.kb_echv_uebrj", 14], ["3.2.b_f_d", "3.16384.kb_echv_uebrj", 14], ["3.2.e_j_p", "3.16384.kb_echv_uebrj", 14], ["3.2.a_a_af", "3.2097152.mkn_cnbjqp_hcntlshn", 21], ["3.2.ab_ab_d", "3.268435456.ehvp_iucxeut_kkzjegfeih", 28], ["3.2.b_ab_ad", "3.268435456.ehvp_iucxeut_kkzjegfeih", 28], ["3.2.ac_c_ad", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42], ["3.2.a_a_f", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42], ["3.2.c_c_d", "3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj", 42]], "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 7}