# Stored data for abelian variety isogeny class 3.3.a_g_ab, downloaded from the LMFDB on 14 March 2026.
{"abvar_count": 51, "abvar_counts": [51, 2703, 16983, 532491, 16316481, 357339303, 9879242487, 284525383539, 7718661004608, 208039423984503], "abvar_counts_str": "51 2703 16983 532491 16316481 357339303 9879242487 284525383539 7718661004608 208039423984503 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.317465802914372, 0.531966122430466, 0.645828817188844], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 22, 25, 82, 274, 673, 2062, 6610, 19924, 59662], "curve_counts_str": "4 22 25 82 274 673 2062 6610 19924 59662 ", "curves": ["2*x^4+x^3*y+x^3*z+2*x*y^2*z+x*z^3+y^3*z=0", "2*x^4+2*x^2*y^2+x^2*z^2+2*x*y^2*z+x*z^3+y^3*z=0"], "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, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["6T6"], "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": ["6T6"], "geometric_number_fields": ["6.0.6370731.1"], "geometric_splitting_field": "6.0.6370731.1", "geometric_splitting_polynomials": [[27, 0, 18, -1, 6, 0, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "3.3.a_g_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.6370731.1"], "p": 3, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 0, 6, -1, 18, 0, 27], "poly_str": "1 0 6 -1 18 0 27 ", "primitive_models": [], "q": 3, "real_poly": [1, 0, -3, -1], "simple_distinct": ["3.3.a_g_ab"], "simple_factors": ["3.3.a_g_abA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.6370731.1", "splitting_polynomials": [[27, 0, 18, -1, 6, 0, 1]], "twist_count": 2, "twists": [["3.3.a_g_b", "3.9.m_cu_kj", 2]], "weak_equivalence_count": 1, "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": 971, "zfv_singular_count": 0, "zfv_singular_primes": []}