# Stored data for abelian variety isogeny class 2.47.a_aj, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 2201, "abvar_counts": [2201, 4844401, 10779274244, 23853641592361, 52599132024237161, 116192753227361771536, 256666986188297606167529, 566976941494540385469518025, 1252453015827221390990277834116, 2766668689703131262075943973339921], "abvar_counts_str": "2201 4844401 10779274244 23853641592361 52599132024237161 116192753227361771536 256666986188297606167529 566976941494540385469518025 1252453015827221390990277834116 2766668689703131262075943973339921 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.234738382598533, 0.765261617401467], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 48, "curve_counts": [48, 2192, 103824, 4888356, 229345008, 10779333158, 506623120464, 23811268561348, 1119130473102768, 52599131812644272], "curve_counts_str": "48 2192 103824 4888356 229345008 10779333158 506623120464 23811268561348 1119130473102768 52599131812644272 ", "curves": ["y^2=35*x^6+19*x^5+17*x^4+11*x^3+14*x^2+7*x+39", "y^2=40*x^6+13*x^5+45*x^4+31*x^3+37*x^2+40*x+36", "y^2=28*x^6+13*x^5+29*x^4+18*x^3+32*x^2+34*x+36", "y^2=46*x^6+18*x^5+4*x^4+43*x^3+19*x^2+29*x+39", "y^2=25*x^6+3*x^5+32*x^4+17*x^3+23*x^2+31*x+35", "y^2=31*x^6+15*x^5+19*x^4+38*x^3+21*x^2+14*x+34", "y^2=5*x^6+3*x^5+37*x^4+46*x^3+20*x^2+13*x+21", "y^2=23*x^6+6*x^5+10*x^4+x^3+35*x^2+45*x+10", "y^2=21*x^6+30*x^5+3*x^4+5*x^3+34*x^2+37*x+3", "y^2=13*x^6+34*x^5+10*x^4+21*x^3+27*x^2+45*x+15", "y^2=18*x^6+29*x^5+3*x^4+11*x^3+41*x^2+37*x+28", "y^2=10*x^6+8*x^5+39*x^4+36*x^3+34*x^2+22*x+21", "y^2=19*x^6+39*x^5+20*x^4+12*x^3+35*x^2+11*x+31", "y^2=x^6+7*x^5+6*x^4+13*x^3+34*x^2+8*x+14", "y^2=39*x^6+6*x^5+13*x^4+45*x^3+x^2+24*x+3", "y^2=7*x^6+30*x^5+18*x^4+37*x^3+5*x^2+26*x+15", "y^2=18*x^6+17*x^5+22*x^4+13*x^3+38*x^2+35*x+24", "y^2=7*x^6+20*x^5+25*x^4+45*x^3+11*x^2+8*x+23", "y^2=35*x^6+6*x^5+31*x^4+37*x^3+8*x^2+40*x+21", "y^2=27*x^6+8*x^5+25*x^4+7*x^3+41*x^2+37*x+20", "y^2=15*x^6+29*x^5+38*x^4+24*x^3+9*x^2+14*x+45", "y^2=12*x^6+14*x^5+40*x^3+39*x^2+11*x+29", "y^2=13*x^6+23*x^5+12*x^3+7*x^2+8*x+4", "y^2=43*x^6+41*x^5+39*x^4+7*x^3+38*x^2+29*x+15", "y^2=22*x^6+33*x^5+32*x^4+23*x^3+18*x^2+8*x+26", "y^2=16*x^6+24*x^5+19*x^4+21*x^3+43*x^2+40*x+36", "y^2=10*x^6+22*x^5+15*x^4+23*x^3+42*x^2+43*x+19", "y^2=6*x^6+17*x^5+27*x^4+43*x^3+40*x^2+44*x+18", "y^2=2*x^6+12*x^5+3*x^4+21*x^3+19*x^2+13*x+40", "y^2=10*x^6+13*x^5+15*x^4+11*x^3+x^2+18*x+12"], "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": ["2.0.8755.1"], "geometric_splitting_field": "2.0.8755.1", "geometric_splitting_polynomials": [[2189, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 30, "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": 30, "label": "2.47.a_aj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.1226400400.2"], "p": 47, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 10], [1, 11, 2, 10], [1, 17, 1, 2]], "poly": [1, 0, -9, 0, 2209], "poly_str": "1 0 -9 0 2209 ", "primitive_models": [], "principal_polarization_count": 40, "q": 47, "real_poly": [1, 0, -103], "simple_distinct": ["2.47.a_aj"], "simple_factors": ["2.47.a_ajA"], "simple_multiplicities": [1], "singular_primes": [], "size": 40, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1226400400.2", "splitting_polynomials": [[2209, 0, -9, 0, 1]], "twist_count": 2, "twists": [["2.47.a_j", "2.4879681.mvq_cknltb", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 40, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 7225, "zfv_singular_count": 0, "zfv_singular_primes": []}