# Stored data for abelian variety isogeny class 2.47.e_abf, downloaded from the LMFDB on 12 March 2026.
{"abvar_count": 2371, "abvar_counts": [2371, 4711177, 10883496976, 23819414107849, 52606050879173251, 116190570046528696576, 256666353775130728883683, 566977206195175613345778825, 1252452947035395223364533319824, 2766668735693848438479685267658377], "abvar_counts_str": "2371 4711177 10883496976 23819414107849 52606050879173251 116190570046528696576 256666353775130728883683 566977206195175613345778825 1252452947035395223364533319824 2766668735693848438479685267658377 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.260897533342387, 0.927564200009053], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 52, "curve_counts": [52, 2132, 104824, 4881348, 229375172, 10779130622, 506621872172, 23811279677956, 1119130411633768, 52599132687006932], "curve_counts_str": "52 2132 104824 4881348 229375172 10779130622 506621872172 23811279677956 1119130411633768 52599132687006932 ", "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "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": false, "jacobian_count": 0, "label": "2.47.e_abf", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.16641.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, -31, 188, 2209], "poly_str": "1 4 -31 188 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, 4, -125], "simple_distinct": ["2.47.e_abf"], "simple_factors": ["2.47.e_abfA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2+7*V+24", "31,3*F-51*V-223"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.16641.1", "splitting_polynomials": [[121, -11, -10, -1, 1]], "twist_count": 6, "twists": [["2.47.ae_abf", "2.2209.ada_ftb", 2], ["2.47.ai_eg", "2.103823.bmm_baazu", 3], ["2.47.ae_abf", "2.10779215329.aevia_cxpluopy", 6], ["2.47.a_da", "2.10779215329.aevia_cxpluopy", 6], ["2.47.i_eg", "2.10779215329.aevia_cxpluopy", 6], ["2.47.a_ada", "2.116191483108948578241.exyzorfw_jrcqproudtlzoig", 12]], "weak_equivalence_count": 4, "zfv_index": 124, "zfv_index_factorization": [[2, 2], [31, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 961, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2+7*V+24", "31,3*F-51*V-223"]}