# Stored data for abelian variety isogeny class 2.7.a_d, downloaded from the LMFDB on 14 January 2026.
{"abvar_count": 53, "abvar_counts": [53, 2809, 117236, 6205081, 282504893, 13744279696, 678221428637, 33196990992489, 1628413673072564, 79809014568941449], "abvar_counts_str": "53 2809 117236 6205081 282504893 13744279696 678221428637 33196990992489 1628413673072564 79809014568941449 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.284371180878302, 0.715628819121698], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 56, 344, 2580, 16808, 116822, 823544, 5758564, 40353608, 282534536], "curve_counts_str": "8 56 344 2580 16808 116822 823544 5758564 40353608 282534536 ", "curves": ["y^2=6*x^6+3*x^5+6*x^4+2*x+6", "y^2=5*x^6+6*x^4+5*x^3+3*x^2+3*x+5", "y^2=x^6+4*x^4+x^3+2*x^2+2*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": 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": ["2.0.187.1"], "geometric_splitting_field": "2.0.187.1", "geometric_splitting_polynomials": [[47, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "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": 3, "label": "2.7.a_d", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.559504.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 3, 0, 49], "poly_str": "1 0 3 0 49 ", "primitive_models": [], "q": 7, "real_poly": [1, 0, -11], "simple_distinct": ["2.7.a_d"], "simple_factors": ["2.7.a_dA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.559504.1", "splitting_polynomials": [[49, 0, 3, 0, 1]], "twist_count": 2, "twists": [["2.7.a_ad", "2.2401.gw_svj", 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": 289, "zfv_singular_count": 0, "zfv_singular_primes": []}