# Stored data for abelian variety isogeny class 2.17.a_k, downloaded from the LMFDB on 03 March 2026.
{"abvar_count": 300, "abvar_counts": [300, 90000, 24129900, 7056000000, 2015996731500, 582252074010000, 168377825846765100, 48660334684416000000, 14063084452171912790700, 4064242821418683092250000], "abvar_counts_str": "300 90000 24129900 7056000000 2015996731500 582252074010000 168377825846765100 48660334684416000000 14063084452171912790700 4064242821418683092250000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.297512875490677, 0.702487124509323], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 310, 4914, 84478, 1419858, 24122230, 410338674, 6975634558, 118587876498, 2015999562550], "curve_counts_str": "18 310 4914 84478 1419858 24122230 410338674 6975634558 118587876498 2015999562550 ", "curves": ["y^2=9*x^5+7*x^4+10*x^3+11*x^2+x+1", "y^2=10*x^5+4*x^4+13*x^3+16*x^2+3*x+3", "y^2=13*x^5+6*x^4+3*x^3+6*x^2+8*x+2", "y^2=5*x^5+x^4+9*x^3+x^2+7*x+6", "y^2=6*x^6+8*x^5+10*x^4+2*x^3+13*x^2+4*x+9", "y^2=5*x^6+5*x^5+16*x^4+9*x^3+6*x+5", "y^2=6*x^6+6*x^5+8*x^4+14*x^3+6*x^2+16*x+2", "y^2=x^6+x^5+7*x^4+8*x^3+x^2+14*x+6", "y^2=x^6+15*x^5+6*x^4+11*x^3+8*x^2+4*x+4", "y^2=3*x^6+11*x^5+x^4+16*x^3+7*x^2+12*x+12", "y^2=3*x^6+2*x^5+4*x^4+11*x^2+12*x+6", "y^2=9*x^6+6*x^5+12*x^4+16*x^2+2*x+1", "y^2=4*x^6+16*x^5+5*x^4+11*x^3+8*x^2+6*x", "y^2=12*x^6+14*x^5+15*x^4+16*x^3+7*x^2+x", "y^2=9*x^6+3*x^5+12*x^4+6*x^3+6*x^2+4*x+6", "y^2=10*x^6+9*x^5+2*x^4+x^3+x^2+12*x+1", "y^2=3*x^6+16*x^5+3*x^4+8*x^3+6*x^2+10*x+3", "y^2=9*x^6+14*x^5+9*x^4+7*x^3+x^2+13*x+9", "y^2=15*x^5+11*x^4+8*x^3+12*x^2+13*x+10", "y^2=11*x^5+16*x^4+7*x^3+2*x^2+5*x+13", "y^2=15*x^6+15*x^4+16*x^3+7*x^2+9*x+10", "y^2=11*x^6+11*x^4+14*x^3+4*x^2+10*x+13", "y^2=14*x^6+16*x^5+12*x^4+6*x^3+13*x^2+15*x+2", "y^2=12*x^6+6*x^5+8*x^4+6*x^3+7*x^2+3*x+1", "y^2=x^6+8*x^5+14*x^4+16*x^3+8*x^2+11*x+4", "y^2=3*x^6+7*x^5+8*x^4+14*x^3+7*x^2+16*x+12", "y^2=8*x^6+9*x^5+3*x^4+14*x^3+12*x^2+3*x+10", "y^2=7*x^6+10*x^5+9*x^4+8*x^3+2*x^2+9*x+13", "y^2=5*x^6+12*x^5+15*x^4+7*x^3+5*x^2+7*x+9", "y^2=10*x^6+14*x^5+8*x^4+9*x^3+5*x^2+15", "y^2=13*x^6+8*x^5+7*x^4+10*x^3+15*x^2+11", "y^2=13*x^6+9*x^5+7*x^4+10*x^3+8*x^2+12", "y^2=5*x^6+10*x^5+4*x^4+13*x^3+7*x^2+2", "y^2=10*x^6+14*x^5+3*x^3+2*x^2+6*x", "y^2=13*x^6+8*x^5+9*x^3+6*x^2+x", "y^2=10*x^6+2*x^5+12*x^4+13*x^2+9*x+14", "y^2=16*x^6+14*x^5+8*x^4+3*x^3+10*x^2+7*x+10", "y^2=7*x^6+x^5+5*x^4+5*x^2+7*x+9", "y^2=4*x^6+3*x^5+15*x^4+15*x^2+4*x+10", "y^2=2*x^6+x^5+16*x^4+16*x^3+12*x+10", "y^2=6*x^6+3*x^5+14*x^4+14*x^3+2*x+13", "y^2=16*x^6+5*x^5+3*x^4+3*x^3+11*x^2+15*x+7", "y^2=11*x^6+13*x^5+16*x^4+10*x^3+6*x^2+9*x+7", "y^2=16*x^6+5*x^5+14*x^4+13*x^3+x^2+10*x+4", "y^2=16*x^6+12*x^4+13*x^3+5*x^2+14*x+16", "y^2=14*x^6+2*x^4+5*x^3+15*x^2+8*x+14", "y^2=5*x^6+4*x^5+15*x^4+11*x^3+7*x^2+3*x+16", "y^2=15*x^6+12*x^5+11*x^4+16*x^3+4*x^2+9*x+14", "y^2=x^6+7*x^5+10*x^4+7*x^3+8*x^2+7*x+7", "y^2=3*x^6+4*x^5+13*x^4+4*x^3+7*x^2+4*x+4", "y^2=7*x^6+6*x^5+9*x^4+10*x^3+5*x^2+5*x+13", "y^2=16*x^6+x^5+7*x^4+6*x^3+10*x^2+12*x+9", "y^2=14*x^6+3*x^5+4*x^4+x^3+13*x^2+2*x+10", "y^2=7*x^6+9*x^5+9*x^4+10*x^3+12*x^2+14*x+13", "y^2=4*x^6+10*x^5+10*x^4+13*x^3+2*x^2+8*x+5", "y^2=4*x^6+10*x^5+2*x^4+12*x^3+14*x^2+14*x+12", "y^2=6*x^6+12*x^5+15*x^4+16*x^3+13*x^2+2*x+13", "y^2=x^6+2*x^5+11*x^4+14*x^3+5*x^2+6*x+5", "y^2=10*x^5+11*x^4+9*x^3+2*x^2+3*x", "y^2=5*x^5+x^4+10*x^3+3*x^2+11*x", "y^2=3*x^6+11*x^5+10*x^4+7*x^3+15*x^2+14*x+16", "y^2=9*x^6+16*x^5+13*x^4+4*x^3+11*x^2+8*x+14", "y^2=7*x^6+11*x^5+x^4+13*x^3+2*x^2+14*x+7", "y^2=4*x^6+16*x^5+3*x^4+5*x^3+6*x^2+8*x+4", "y^2=8*x^6+3*x^5+3*x^4+5*x^3+16*x^2+6*x+6", "y^2=2*x^6+2*x^5+x^4+12*x^3+x+11", "y^2=6*x^6+6*x^5+3*x^4+2*x^3+3*x+16", "y^2=2*x^6+12*x^5+10*x^4+12*x^3+10*x^2+9*x+3", "y^2=6*x^6+2*x^5+13*x^4+2*x^3+13*x^2+10*x+9", "y^2=11*x^6+14*x^5+2*x^4+13*x^3+4*x^2+16*x+3", "y^2=16*x^6+8*x^5+6*x^4+5*x^3+12*x^2+14*x+9", "y^2=4*x^5+3*x^4+10*x^3+13*x^2+4*x+11", "y^2=4*x^6+11*x^5+4*x^4+12*x^3+6*x^2+16*x+2", "y^2=12*x^6+16*x^5+12*x^4+2*x^3+x^2+14*x+6", "y^2=4*x^6+14*x^5+13*x^4+5*x^3+6*x^2+6*x+12", "y^2=13*x^6+6*x^5+12*x^4+13*x^3+15*x^2+3*x+6"], "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": ["2.0.264.1"], "geometric_splitting_field": "2.0.264.1", "geometric_splitting_polynomials": [[66, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 76, "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": 76, "label": "2.17.a_k", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.69696.3"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 10, 0, 289], "poly_str": "1 0 10 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -24], "simple_distinct": ["2.17.a_k"], "simple_factors": ["2.17.a_kA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F+5"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.69696.3", "splitting_polynomials": [[75, 6, -5, -2, 1]], "twist_count": 2, "twists": [["2.17.a_ak", "2.83521.bku_wnco", 4]], "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": 1936, "zfv_singular_count": 2, "zfv_singular_primes": ["2,3*F+5"]}