# Stored data for abelian variety isogeny class 2.47.av_hs, downloaded from the LMFDB on 10 September 2025.
{"abvar_count": 1402, "abvar_counts": [1402, 4792036, 10818544216, 23832021789216, 52603607060842702, 116191741205327474752, 256666964812801668294766, 566977472471930901175398528, 1252453102172572021725770408632, 2766668748040190178580094468867716], "abvar_counts_str": "1402 4792036 10818544216 23832021789216 52603607060842702 116191741205327474752 256666964812801668294766 566977472471930901175398528 1252453102172572021725770408632 2766668748040190178580094468867716 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.131283800781, 0.288979548103977], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 2169, 104202, 4883929, 229364517, 10779239274, 506623078275, 23811290860753, 1119130550256726, 52599132921732129], "curve_counts_str": "27 2169 104202 4883929 229364517 10779239274 506623078275 23811290860753 1119130550256726 52599132921732129 ", "curves": ["y^2=21*x^6+30*x^5+35*x^4+36*x^3+20*x^2+16*x+12", "y^2=12*x^6+16*x^5+13*x^4+8*x^3+41*x^2+12*x+38", "y^2=35*x^6+46*x^5+33*x^4+27*x^3+34*x^2+4*x+5", "y^2=18*x^5+31*x^4+32*x^3+28*x^2+17*x+14", "y^2=9*x^6+32*x^5+33*x^4+41*x^3+33*x^2+15*x+23", "y^2=24*x^6+14*x^5+13*x^4+39*x^3+45*x^2+22*x+6", "y^2=30*x^6+x^5+23*x^4+27*x^3+5*x^2+13*x+10", "y^2=16*x^6+10*x^5+5*x^4+27*x^3+37*x^2+33*x+5"], "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": ["4.0.1019592.3"], "geometric_splitting_field": "4.0.479808.2", "geometric_splitting_polynomials": [[487, -10, 53, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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.av_hs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.1019592.3"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 2], [1, 13, 1, 4]], "poly": [1, -21, 200, -987, 2209], "poly_str": "1 -21 200 -987 2209 ", "primitive_models": [], "principal_polarization_count": 8, "q": 47, "real_poly": [1, -21, 106], "simple_distinct": ["2.47.av_hs"], "simple_factors": ["2.47.av_hsA"], "simple_multiplicities": [1], "singular_primes": [], "size": 8, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.479808.2", "splitting_polynomials": [[487, -10, 53, -2, 1]], "twist_count": 2, "twists": [["2.47.v_hs", "2.2209.abp_eka", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3528, "zfv_singular_count": 0, "zfv_singular_primes": []}