# Stored data for abelian variety isogeny class 2.47.au_hg, downloaded from the LMFDB on 02 January 2026.
{"abvar_count": 1438, "abvar_counts": [1438, 4828804, 10827071566, 23829587598736, 52601448964687918, 116191297607278779076, 256667119945690454487742, 566977604176523939835285504, 1252453134993651026564350597054, 2766668742814048557999428625625924], "abvar_counts_str": "1438 4828804 10827071566 23829587598736 52601448964687918 116191297607278779076 256667119945690454487742 566977604176523939835285504 1252453134993651026564350597054 2766668742814048557999428625625924 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.137629815229562, 0.314369396380387], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 28, "curve_counts": [28, 2186, 104284, 4883430, 229355108, 10779198122, 506623384484, 23811296391934, 1119130579584028, 52599132822374186], "curve_counts_str": "28 2186 104284 4883430 229355108 10779198122 506623384484 23811296391934 1119130579584028 52599132822374186 ", "curves": ["y^2=46*x^6+26*x^5+20*x^4+31*x^3+35*x^2+44*x+44", "y^2=31*x^6+19*x^5+20*x^4+15*x^3+34*x^2+44*x+22", "y^2=43*x^6+23*x^5+2*x^4+x^3+28*x^2+17*x+23", "y^2=44*x^6+21*x^5+18*x^4+41*x^3+19*x^2+x+40", "y^2=10*x^6+39*x^5+24*x^4+26*x^3+26*x^2+2*x+40", "y^2=35*x^6+11*x^5+15*x^4+20*x^3+39*x^2+45*x+15", "y^2=40*x^6+43*x^5+43*x^4+17*x^3+8*x^2+26*x+26", "y^2=22*x^6+33*x^5+16*x^4+34*x^3+21*x^2+21*x+14"], "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": ["4.0.2490624.1"], "geometric_splitting_field": "4.0.2490624.1", "geometric_splitting_polynomials": [[334, -60, 38, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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": 8, "label": "2.47.au_hg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["4.0.2490624.1"], "p": 47, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -20, 188, -940, 2209], "poly_str": "1 -20 188 -940 2209 ", "primitive_models": [], "q": 47, "real_poly": [1, -20, 94], "simple_distinct": ["2.47.au_hg"], "simple_factors": ["2.47.au_hgA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.2490624.1", "splitting_polynomials": [[334, -60, 38, 0, 1]], "twist_count": 2, "twists": [["2.47.u_hg", "2.2209.ay_dfe", 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": 4324, "zfv_singular_count": 0, "zfv_singular_primes": []}