# Stored data for abelian variety isogeny class 3.17.d_bv_du, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 6728, "abvar_counts": [6728, 32240576, 116159754272, 577157379472384, 2863962583905140168, 14065215391375416602624, 69095866566071110126376072, 339447838116684274923191123968, 1667699636016676786876646270390048, 8193470973580619695363880354328468416], "abvar_counts_str": "6728 32240576 116159754272 577157379472384 2863962583905140168 14065215391375416602624 69095866566071110126376072 339447838116684274923191123968 1667699636016676786876646270390048 8193470973580619695363880354328468416 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.442195159688118, 0.527472717753653, 0.651507526359615], "center_dim": 6, "curve_count": 21, "curve_counts": [21, 375, 4812, 82735, 1420621, 24141228, 410362029, 6975740319, 118587045516, 2015995191655], "curve_counts_str": "21 375 4812 82735 1420621 24141228 410362029 6975740319 118587045516 2015995191655 ", "curves": ["y^2=x^8+13*x^7+8*x^6+16*x^5+6*x^4+2*x^3+16*x^2+16*x", "y^2=x^8+15*x^7+16*x^6+6*x^5+10*x^4+6*x^3+8*x^2+16*x", "y^2=x^8+10*x^7+12*x^6+7*x^4+12*x^3+2*x^2+15*x", "y^2=3*x^8+8*x^7+6*x^6+2*x^5+11*x^4+7*x^3+2*x^2+x", "y^2=3*x^8+5*x^7+8*x^6+14*x^5+3*x^4+x^3+2*x^2+4*x", "y^2=3*x^8+9*x^7+13*x^6+16*x^5+14*x^4+4*x^3+8", "y^2=x^8+7*x^7+2*x^6+15*x^5+16*x^4+7*x^3+14*x^2+6*x", "y^2=x^8+x^7+16*x^6+11*x^5+12*x^4+3*x^3+x^2+7*x+11", "y^2=3*x^8+4*x^7+11*x^6+11*x^5+12*x^4+5*x^3+8*x+4", "y^2=x^7+13*x^6+15*x^5+3*x^4+9*x^3+6*x^2+4*x+15", "y^2=3*x^7+x^6+2*x^5+4*x^4+11*x^3+4*x^2+15*x+12", "y^2=3*x^7+2*x^6+2*x^5+2*x^4+15*x^3+x^2+8*x+8", "y^2=x^7+5*x^6+5*x^5+9*x^4+16*x^3+12*x^2+10*x+2", "y^2=x^7+16*x^6+5*x^5+x^4+7*x^3+15*x^2+15*x+3", "y^2=3*x^8+8*x^7+15*x^5+6*x^4+13*x^3+7*x^2+5*x+13", "y^2=3*x^8+9*x^7+7*x^6+4*x^5+6*x^4+14*x^3+6*x^2+6*x+15", "y^2=3*x^8+2*x^7+6*x^6+9*x^4+x^3+14", "y^2=x^8+9*x^7+16*x^5+14*x^4+4*x^3+3*x^2+4*x+4", "y^2=3*x^8+3*x^7+x^6+11*x^5+14*x^4+3*x^3+13*x^2+5*x+13", "y^2=x^8+11*x^7+12*x^6+10*x^5+3*x^4+5*x^3+10*x^2+6*x+16", "y^2=x^8+15*x^7+4*x^6+6*x^5+5*x^4+7*x^3+12*x^2+4*x+10"], "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": ["6.0.5954612992.1"], "geometric_splitting_field": "6.0.5954612992.1", "geometric_splitting_polynomials": [[4792, -616, 772, -80, 47, -3, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "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.d_bv_du", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.5954612992.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 3, 47, 98, 799, 867, 4913], "poly_str": "1 3 47 98 799 867 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, 3, -4, -4], "simple_distinct": ["3.17.d_bv_du"], "simple_factors": ["3.17.d_bv_duA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.5954612992.1", "splitting_polynomials": [[4792, -616, 772, -80, 47, -3, 1]], "twist_count": 2, "twists": [["3.17.ad_bv_adu", "3.289.dh_etv_dzte", 2]]}