# Stored data for abelian variety isogeny class 2.7.d_h, downloaded from the LMFDB on 27 June 2026.
{"abvar_count": 81, "abvar_counts": [81, 2673, 127575, 5808429, 274299696, 13905547425, 678328620939, 33263484668469, 1628246967560325, 79776985647414528], "abvar_counts_str": "81 2673 127575 5808429 274299696 13905547425 678328620939 33263484668469 1628246967560325 79776985647414528 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.405914319087421, 0.828442134325766], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 55, 371, 2419, 16316, 118195, 823673, 5770099, 40349477, 282421150], "curve_counts_str": "11 55 371 2419 16316 118195 823673 5770099 40349477 282421150 ", "curves": ["y^2=2*x^6+x^5+3*x^4+4*x^3+4*x^2+3*x+6", "y^2=3*x^6+5*x^5+5*x^4+4*x^3+3*x^2+1", "y^2=x^5+x^4+x^3+2*x^2+2*x+4", "y^2=4*x^6+4*x^5+2*x^4+6*x^3+4", "y^2=4*x^6+3*x^5+6*x^3+5*x^2+4*x+4", "y^2=5*x^6+4*x^5+x^4+x^3+4*x^2+6*x+1"], "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": ["4.0.28749.1"], "geometric_splitting_field": "4.0.16317.1", "geometric_splitting_polynomials": [[9, -3, 1, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.7.d_h", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [3], "number_fields": ["4.0.28749.1"], "p": 7, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 3, 7, 21, 49], "poly_str": "1 3 7 21 49 ", "primitive_models": [], "q": 7, "real_poly": [1, 3, -7], "simple_distinct": ["2.7.d_h"], "simple_factors": ["2.7.d_hA"], "simple_multiplicities": [1], "singular_primes": ["3,-F-3*V-8"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.16317.1", "splitting_polynomials": [[9, -3, 1, -1, 1]], "twist_count": 2, "twists": [["2.7.ad_h", "2.49.f_v", 2]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 189, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-F-3*V-8"]}