# Stored data for abelian variety isogeny class 2.17.a_aba, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 264, "abvar_counts": [264, 69696, 24142536, 6959563776, 2015996558664, 582862044511296, 168377826405140616, 48663388413005414400, 14063084451830590788744, 4064242124545090793464896], "abvar_counts_str": "264 69696 24142536 6959563776 2015996558664 582862044511296 168377826405140616 48663388413005414400 14063084451830590788744 4064242124545090793464896 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.111442130273348, 0.888557869726652], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 18, "curve_counts": [18, 238, 4914, 83326, 1419858, 24147502, 410338674, 6976072318, 118587876498, 2015999216878], "curve_counts_str": "18 238 4914 83326 1419858 24147502 410338674 6976072318 118587876498 2015999216878 ", "curves": ["y^2=4*x^6+10*x^5+6*x^3+x^2+x+11", "y^2=16*x^6+16*x^5+14*x^3+3*x^2+1", "y^2=14*x^6+9*x^4+6*x^3+10*x^2+11*x+4", "y^2=x^6+16*x^5+13*x^4+4*x^3+7*x^2+3*x+13", "y^2=13*x^6+2*x^5+2*x^4+3*x^3+3*x^2+9*x+10", "y^2=11*x^6+x^5+6*x^4+8*x^2+4*x+2", "y^2=5*x^6+6*x^5+2*x^4+3*x^3+10*x^2+14*x+13", "y^2=14*x^6+6*x^5+2*x^4+15*x^3+11*x^2+3*x+13"], "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": 4, "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": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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": 8, "label": "2.17.a_aba", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.57600.2"], "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, -60], "simple_distinct": ["2.17.a_aba"], "simple_factors": ["2.17.a_abaA"], "simple_multiplicities": [1], "singular_primes": ["2,-2*F+V+3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.57600.2", "splitting_polynomials": [[49, 0, 16, 0, 1]], "twist_count": 4, "twists": [["2.17.a_ba", "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": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 64, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-2*F+V+3"]}