# Stored data for abelian variety isogeny class 3.7.aj_bo_aer, downloaded from the LMFDB on 02 April 2026. {"abvar_count": 93, "abvar_counts": [93, 114855, 39211776, 13626971475, 4845127076823, 1648826948321280, 559282060852288041, 191507412525777976875, 65722777207740542585088, 22541737097470480089861375], "abvar_counts_str": "93 114855 39211776 13626971475 4845127076823 1648826948321280 559282060852288041 191507412525777976875 65722777207740542585088 22541737097470480089861375 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.106147807504828, 0.204545263621844, 0.51420536371976], "center_dim": 6, "cohen_macaulay_max": 2, "curve_count": -1, "curve_counts": [-1, 49, 332, 2365, 17149, 119116, 824627, 5762581, 40360004, 282505289], "curve_counts_str": "-1 49 332 2365 17149 119116 824627 5762581 40360004 282505289 ", "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, "endomorphism_ring_count": 6, "g": 3, "galois_groups": ["2T1", "4T3"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "4T3"], "geometric_number_fields": ["2.0.3.1", "4.0.7025.1"], "geometric_splitting_field": "8.0.3997400625.1", "geometric_splitting_polynomials": [[400, -200, -120, -30, 81, -2, -7, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "3.7.aj_bo_aer", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.3.1", "4.0.7025.1"], "p": 7, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -9, 40, -121, 280, -441, 343], "poly_str": "1 -9 40 -121 280 -441 343 ", "primitive_models": [], "q": 7, "real_poly": [1, -9, 19, 5], "simple_distinct": ["1.7.af", "2.7.ae_n"], "simple_factors": ["1.7.afA", "2.7.ae_nA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^3-F^2+11*F+2*V^2+2*V-16"], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.3997400625.1", "splitting_polynomials": [[400, -200, -120, -30, 81, -2, -7, -2, 1]], "twist_count": 12, "twists": [["3.7.ab_a_aj", "3.49.ab_as_tn", 2], ["3.7.b_a_j", "3.49.ab_as_tn", 2], ["3.7.j_bo_er", "3.49.ab_as_tn", 2], ["3.7.ad_q_abr", "3.343.am_bez_akhk", 3], ["3.7.a_e_ae", "3.343.am_bez_akhk", 3], ["3.7.ai_bk_aee", "3.117649.cek_cgusl_blhnbjg", 6], ["3.7.af_y_acr", "3.117649.cek_cgusl_blhnbjg", 6], ["3.7.a_e_e", "3.117649.cek_cgusl_blhnbjg", 6], ["3.7.d_q_br", "3.117649.cek_cgusl_blhnbjg", 6], ["3.7.f_y_cr", "3.117649.cek_cgusl_blhnbjg", 6], ["3.7.i_bk_ee", "3.117649.cek_cgusl_blhnbjg", 6]], "weak_equivalence_count": 7, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 843, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^3-F^2+11*F+2*V^2+2*V-16"]}