# Stored data for abelian variety isogeny class 2.47.av_hq, downloaded from the LMFDB on 02 January 2026.
{"abvar_count": 1400, "abvar_counts": [1400, 4782400, 10805362400, 23822569120000, 52599272364485000, 116190441198641689600, 256666770288501312727400, 566977507868867893499520000, 1252453135603469609924688274400, 2766668760075776228213983833160000], "abvar_counts_str": "1400 4782400 10805362400 23822569120000 52599272364485000 116190441198641689600 256666770288501312727400 566977507868867893499520000 1252453135603469609924688274400 2766668760075776228213983833160000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.102979434792275, 0.301698511018155], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 2165, 104076, 4881993, 229345617, 10779118670, 506622694311, 23811292347313, 1119130580128932, 52599133150549325], "curve_counts_str": "27 2165 104076 4881993 229345617 10779118670 506622694311 23811292347313 1119130580128932 52599133150549325 ", "curves": ["y^2=41*x^6+36*x^5+25*x^4+11*x^3+38*x^2+37*x+35", "y^2=44*x^6+37*x^5+45*x^4+8*x^3+33*x^2+28*x+43", "y^2=26*x^6+39*x^5+13*x^4+32*x^3+3*x^2+13*x+14", "y^2=20*x^6+7*x^5+3*x^4+16*x^3+29*x^2+22*x+43", "y^2=40*x^6+18*x^5+7*x^4+12*x^3+25*x^2+31*x+20", "y^2=22*x^6+45*x^5+39*x^4+26*x^3+11*x+21", "y^2=13*x^6+34*x^5+36*x^4+43*x^3+20*x^2+28*x+20", "y^2=11*x^6+45*x^5+18*x^4+3*x^3+9*x^2+28*x+35", "y^2=40*x^6+39*x^5+12*x^4+43*x^3+28*x^2+36*x+37", "y^2=23*x^6+43*x^5+12*x^4+39*x^3+25*x^2+31*x+19", "y^2=x^6+39*x^5+37*x^4+28*x^3+37*x^2+14*x+21", "y^2=9*x^6+20*x^5+7*x^4+45*x^3+16*x^2+19*x+35"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.19.1", "2.0.31.1"], "geometric_splitting_field": "4.0.346921.1", "geometric_splitting_polynomials": [[9, 0, 25, 0, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.47.av_hq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 5], "number_fields": ["2.0.19.1", "2.0.31.1"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 4], [2, 7, 1, 12]], "poly": [1, -21, 198, -987, 2209], "poly_str": "1 -21 198 -987 2209 ", "primitive_models": [], "principal_polarization_count": 18, "q": 47, "real_poly": [1, -21, 104], "simple_distinct": ["1.47.an", "1.47.ai"], "simple_factors": ["1.47.anA", "1.47.aiA"], "simple_multiplicities": [1, 1], "singular_primes": ["5,-5*F+V-26", "5,-F+36", "2,7*F-3"], "size": 78, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.346921.1", "splitting_polynomials": [[9, 0, 25, 0, 1]], "twist_count": 4, "twists": [["2.47.af_ak", "2.2209.abt_dfk", 2], ["2.47.f_ak", "2.2209.abt_dfk", 2], ["2.47.v_hq", "2.2209.abt_dfk", 2]], "weak_equivalence_count": 8, "zfv_index": 50, "zfv_index_factorization": [[2, 1], [5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 24, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2356, "zfv_singular_count": 6, "zfv_singular_primes": ["5,-5*F+V-26", "5,-F+36", "2,7*F-3"]}