# Stored data for abelian variety isogeny class 3.3.ae_j_ar, downloaded from the LMFDB on 07 June 2024.
{"abvar_count": 7, "abvar_counts": [7, 847, 14308, 502271, 14422352, 339328528, 9863032277, 292370442287, 7771038924292, 206089871896832], "abvar_counts_str": "7 847 14308 502271 14422352 339328528 9863032277 292370442287 7771038924292 206089871896832 ", "angle_rank": 3, "angles": [0.0653366913679586, 0.328985474982715, 0.609104440316099], "center_dim": 6, "curve_count": 0, "curve_counts": [0, 12, 21, 76, 245, 633, 2058, 6788, 20055, 59107], "curve_counts_str": "0 12 21 76 245 633 2058 6788 20055 59107 ", "curves": ["y^2=2*x^8+2*x^7+x^6+2*x^5+x^4+x^3+2*x^2+x+2"], "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": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "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": ["6T11"], "geometric_number_fields": ["6.0.10338167.1"], "geometric_splitting_field": "6.0.10338167.1", "geometric_splitting_polynomials": [[7, 11, 5, 1, 4, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 1, "label": "3.3.ae_j_ar", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["6.0.10338167.1"], "p": 3, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -4, 9, -17, 27, -36, 27], "poly_str": "1 -4 9 -17 27 -36 27 ", "primitive_models": [], "principal_polarization_count": 1, "q": 3, "real_poly": [1, -4, 0, 7], "simple_distinct": ["3.3.ae_j_ar"], "simple_factors": ["3.3.ae_j_arA"], "simple_multiplicities": [1], "size": 1, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.10338167.1", "splitting_polynomials": [[7, 11, 5, 1, 4, -2, 1]], "twist_count": 2, "twists": [["3.3.e_j_r", "3.9.c_ab_abl", 2]], "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": 47}