# Stored data for abelian variety isogeny class 2.7.a_ab, downloaded from the LMFDB on 11 March 2026.
{"abvar_count": 49, "abvar_counts": [49, 2401, 117796, 6245001, 282463489, 13875897616, 678223863121, 33179846438025, 1628413549492324, 79785622618053121], "abvar_counts_str": "49 2401 117796 6245001 282463489 13875897616 678223863121 33179846438025 1628413549492324 79785622618053121 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.238622100671799, 0.761377899328201], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 48, 344, 2596, 16808, 117942, 823544, 5755588, 40353608, 282451728], "curve_counts_str": "8 48 344 2596 16808 117942 823544 5755588 40353608 282451728 ", "curves": ["y^2=2*x^6+x^5+x^4+4*x^3+x^2+4*x+6", "y^2=4*x^6+x^5+5*x^4+6*x^3+x^2+4*x+3"], "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": 1, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.195.1"], "geometric_splitting_field": "2.0.195.1", "geometric_splitting_polynomials": [[49, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.7.a_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.608400.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -1, 0, 49], "poly_str": "1 0 -1 0 49 ", "primitive_models": [], "q": 7, "real_poly": [1, 0, -15], "simple_distinct": ["2.7.a_ab"], "simple_factors": ["2.7.a_abA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.608400.1", "splitting_polynomials": [[49, 0, -1, 0, 1]], "twist_count": 2, "twists": [["2.7.a_b", "2.2401.hm_vap", 4]], "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": 169, "zfv_singular_count": 0, "zfv_singular_primes": []}