# Stored data for abelian variety isogeny class 2.7.a_ah, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 43, "abvar_counts": [43, 1849, 118336, 6007401, 282458443, 14003408896, 678222249307, 33260630443209, 1628413678617664, 79782772021984249], "abvar_counts_str": "43 1849 118336 6007401 282458443 14003408896 678222249307 33260630443209 1628413678617664 79782772021984249 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.166666666666667, 0.833333333333333], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 36, 344, 2500, 16808, 119022, 823544, 5769604, 40353608, 282441636], "curve_counts_str": "8 36 344 2500 16808 119022 823544 5769604 40353608 282441636 ", "curves": [], "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": 4, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 1, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": -1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 0, "label": "2.7.a_ah", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 0, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["4.0.441.1"], "p": 7, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, -7, 0, 49], "poly_str": "1 0 -7 0 49 ", "primitive_models": [], "q": 7, "real_poly": [1, 0, -21], "simple_distinct": ["2.7.a_ah"], "simple_factors": ["2.7.a_ahA"], "simple_multiplicities": [1], "singular_primes": ["2,F+V-3", "7,-4*V,16*F"], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "4.0.441.1", "splitting_polynomials": [[4, -2, -1, -1, 1]], "twist_count": 5, "twists": [["2.7.a_o", "2.343.a_bak", 3], ["2.7.a_h", "2.2401.du_krb", 4], ["2.7.a_ao", "2.13841287201.abaudw_kivtfxog", 12], ["2.7.a_a", "2.191581231380566414401.agxfvmpse_rvhmlbnwbxgutcg", 24]], "weak_equivalence_count": 4, "zfv_index": 28, "zfv_index_factorization": [[2, 2], [7, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 49, "zfv_singular_count": 5, "zfv_singular_primes": ["2,F+V-3", "7,-4*V,16*F"]}