# Stored data for abelian variety isogeny class 2.7.ae_m, downloaded from the LMFDB on 27 July 2026.
{"abvar_count": 30, "abvar_counts": [30, 2820, 116910, 5696400, 288519150, 13989684420, 678358578270, 33215207116800, 1628552932173630, 79790505847004100], "abvar_counts_str": "30 2820 116910 5696400 288519150 13989684420 678358578270 33215207116800 1628552932173630 79790505847004100 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.182041207691231, 0.527071640753819], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 58, 340, 2374, 17164, 118906, 823708, 5761726, 40357060, 282469018], "curve_counts_str": "4 58 340 2374 17164 118906 823708 5761726 40357060 282469018 ", "curves": ["y^2=6*x^6+2*x^5+5*x^4+6*x^3+4*x^2+x+6", "y^2=5*x^6+2*x^5+6*x^3+4*x^2+3*x", "y^2=4*x^5+3*x^4+4*x^3+6*x^2+5*x+6", "y^2=3*x^6+4*x^5+4*x^4+5*x^3+x^2+6*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": ["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": ["4.0.131328.1"], "geometric_splitting_field": "4.0.131328.1", "geometric_splitting_polynomials": [[30, -12, 6, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "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": 4, "label": "2.7.ae_m", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.131328.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 12, -28, 49], "poly_str": "1 -4 12 -28 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -4, -2], "simple_distinct": ["2.7.ae_m"], "simple_factors": ["2.7.ae_mA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.131328.1", "splitting_polynomials": [[30, -12, 6, 0, 1]], "twist_count": 2, "twists": [["2.7.e_m", "2.49.i_s", 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": 228, "zfv_singular_count": 0, "zfv_singular_primes": []}