# Stored data for abelian variety isogeny class 2.17.a_ba, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 316, "abvar_counts": [316, 99856, 24132604, 6959563776, 2015991242236, 582382575820816, 168377826713661244, 48663388413005414400, 14063084452304859193276, 4064220688772250430279696], "abvar_counts_str": "316 99856 24132604 6959563776 2015991242236 582382575820816 168377826713661244 48663388413005414400 14063084452304859193276 4064220688772250430279696 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.388557869726652, 0.611442130273348], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 342, 4914, 83326, 1419858, 24127638, 410338674, 6976072318, 118587876498, 2015988584022], "curve_counts_str": "18 342 4914 83326 1419858 24127638 410338674 6976072318 118587876498 2015988584022 ", "curves": ["y^2=5*x^6+13*x^5+10*x^4+2*x^3+9*x^2+9*x+9", "y^2=5*x^6+6*x^5+10*x^4+x^3+16*x^2+14*x+13", "y^2=15*x^6+14*x^5+16*x^4+14*x^3+12*x^2+13*x", "y^2=11*x^6+8*x^5+14*x^4+8*x^3+2*x^2+5*x", "y^2=10*x^6+12*x^5+13*x^4+3*x^3+14*x^2+13*x+13", "y^2=13*x^6+2*x^5+5*x^4+9*x^3+8*x^2+5*x+5", "y^2=13*x^6+2*x^5+14*x^4+4*x^3+4*x^2+13*x+12", "y^2=4*x^6+16*x^5+8*x^4+7*x^3+9*x^2+11*x+8", "y^2=12*x^6+14*x^5+7*x^4+4*x^3+10*x^2+16*x+7", "y^2=10*x^6+12*x^5+4*x^4+5*x^3+7*x^2+7*x+1", "y^2=14*x^6+13*x^5+6*x^4+2*x^3+5*x^2+10*x+15", "y^2=8*x^6+5*x^5+x^4+6*x^3+15*x^2+13*x+11", "y^2=16*x^6+6*x^5+15*x^4+2*x^3+15*x^2+9*x+8", "y^2=14*x^6+x^5+11*x^4+6*x^3+11*x^2+10*x+7", "y^2=10*x^6+11*x^5+11*x^4+4*x^3+10*x^2+12*x+13", "y^2=13*x^6+16*x^5+16*x^4+12*x^3+13*x^2+2*x+5", "y^2=3*x^6+2*x^5+6*x^4+9*x^3+11*x^2+8*x+2", "y^2=9*x^6+6*x^5+x^4+10*x^3+16*x^2+7*x+6", "y^2=4*x^6+12*x^5+4*x^4+7*x^3+14*x^2+11*x+10", "y^2=13*x^6+15*x^5+15*x^3+4*x+5", "y^2=4*x^6+12*x^5+15*x^4+11*x^2+11*x+6", "y^2=5*x^6+8*x^5+13*x+16", "y^2=5*x^5+16*x^4+4*x^3+8*x^2+9*x+4", "y^2=12*x^6+9*x^5+16*x^4+5*x^3+16*x^2+6*x+5", "y^2=2*x^6+10*x^5+14*x^4+15*x^3+14*x^2+x+15", "y^2=12*x^6+2*x^5+6*x^4+16*x^3+9*x^2+14*x+15"], "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": 5, "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": ["2.0.120.1"], "geometric_splitting_field": "2.0.120.1", "geometric_splitting_polynomials": [[30, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 26, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 26, "label": "2.17.a_ba", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.14400.4"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 26, 0, 289], "poly_str": "1 0 26 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -8], "simple_distinct": ["2.17.a_ba"], "simple_factors": ["2.17.a_baA"], "simple_multiplicities": [1], "singular_primes": ["2,-V-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.14400.4", "splitting_polynomials": [[34, -4, 5, -2, 1]], "twist_count": 4, "twists": [["2.17.a_aba", "2.83521.aho_kbic", 4], ["2.17.ae_i", "2.6975757441.rxuq_evkkvuws", 8], ["2.17.e_i", "2.6975757441.rxuq_evkkvuws", 8]], "weak_equivalence_count": 5, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 3600, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-V-1"]}