# Stored data for abelian variety isogeny class 2.9.ag_t, downloaded from the LMFDB on 17 October 2025.
{"abvar_count": 41, "abvar_counts": [41, 6601, 506432, 41408073, 3472388441, 283091436544, 22883202041993, 1852662155286537, 150099196567458368, 12158363397611407081], "abvar_counts_str": "41 6601 506432 41408073 3472388441 283091436544 22883202041993 1852662155286537 150099196567458368 12158363397611407081 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0763052093419765, 0.490896535327383], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 84, 694, 6308, 58804, 532686, 4784308, 43038404, 387432262, 3486984564], "curve_counts_str": "4 84 694 6308 58804 532686 4784308 43038404 387432262 3486984564 ", "curves": ["y^2=2*a*x^6+a*x^5+2*a*x^3+2*a*x^2+a*x+2*a", "y^2=(2*a+1)*x^6+a*x^5+(2*a+2)*x^4+(2*a+1)*x^3+2*a*x+2*a+1", "y^2=(2*a+1)*x^6+2*a*x^5+(2*a+1)*x^4+2*x^3+(2*a+1)*x^2+(2*a+2)*x+a"], "dim1_distinct": 0, "dim1_factors": 0, "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": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.4672.2"], "geometric_splitting_field": "4.0.4672.2", "geometric_splitting_polynomials": [[7, -2, 5, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "2.9.ag_t", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.4672.2"], "p": 3, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -6, 19, -54, 81], "poly_str": "1 -6 19 -54 81 ", "primitive_models": [], "q": 9, "real_poly": [1, -6, 1], "simple_distinct": ["2.9.ag_t"], "simple_factors": ["2.9.ag_tA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-2*F+V"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4672.2", "splitting_polynomials": [[7, -2, 5, -2, 1]], "twist_count": 2, "twists": [["2.9.g_t", "2.81.c_aev", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 73, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-2*F+V"]}