# Stored data for abelian variety isogeny class 3.17.ae_bv_aem, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 4484, "abvar_counts": [4484, 31549424, 122282881508, 580368564971264, 2858421755115509764, 14055833358422422387952, 69090924324166586484058532, 339467357400029962621707468800, 1667723067316480671530798915311652, 8193440743499154311809124804335031024], "abvar_counts_str": "4484 31549424 122282881508 580368564971264 2858421755115509764 14055833358422422387952 69090924324166586484058532 339467357400029962621707468800 1667723067316480671530798915311652 8193440743499154311809124804335031024 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.359387044027291, 0.396638491864294, 0.584214779228449], "center_dim": 6, "curve_count": 14, "curve_counts": [14, 368, 5066, 83196, 1417874, 24125120, 410332678, 6976141436, 118588711670, 2015987753568], "curve_counts_str": "14 368 5066 83196 1417874 24125120 410332678 6976141436 118588711670 2015987753568 ", "curves": ["y^2=x^8+14*x^7+6*x^6+3*x^4+8*x^3+13*x^2+16*x+10", "y^2=x^8+16*x^7+5*x^6+12*x^5+10*x^4+15*x^3+7*x^2+3*x+6", "y^2=3*x^7+5*x^6+8*x^5+3*x^4+14*x^3+15*x^2+7*x+2", "y^2=x^7+3*x^6+8*x^5+8*x^4+16*x^3+5*x^2+3*x+3", "y^2=3*x^8+11*x^7+14*x^6+4*x^5+11*x^4+7*x^3+14*x^2+15*x+10", "y^2=3*x^8+9*x^7+x^6+9*x^5+5*x^4+4*x^3+4*x^2+7", "y^2=x^8+12*x^7+10*x^6+12*x^5+6*x^4+6*x^3+13*x+2", "y^2=x^8+11*x^7+x^6+8*x^5+13*x^4+9*x^3+14*x^2+15*x+2", "y^2=3*x^8+10*x^6+16*x^5+14*x^4+14*x^3+5*x^2+6*x+6", "y^2=3*x^8+2*x^7+7*x^6+13*x^5+8*x^4+15*x^3+14*x^2+9*x+11", "y^2=3*x^8+9*x^7+5*x^6+3*x^5+12*x^4+12*x^3+6*x^2+6*x+11", "y^2=x^8+10*x^7+x^6+2*x^4+9*x^3+7*x^2+8*x+5"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.294367856.1"], "geometric_splitting_field": "6.0.294367856.1", "geometric_splitting_polynomials": [[256, -192, 224, -65, 35, -3, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.17.ae_bv_aem", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.294367856.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -4, 47, -116, 799, -1156, 4913], "poly_str": "1 -4 47 -116 799 -1156 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, -4, -4, 20], "simple_distinct": ["3.17.ae_bv_aem"], "simple_factors": ["3.17.ae_bv_aemA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.294367856.1", "splitting_polynomials": [[256, -192, 224, -65, 35, -3, 1]], "twist_count": 2, "twists": [["3.17.e_bv_em", "3.289.da_egt_dobk", 2]]}