# Stored data for abelian variety isogeny class 2.17.ad_z, downloaded from the LMFDB on 16 July 2026.
{"abvar_count": 261, "abvar_counts": [261, 96309, 24356781, 6985195461, 2019080699136, 582480750716901, 168345358435006461, 48661103274438639429, 14063204634840662505669, 4064233456178403218509824], "abvar_counts_str": "261 96309 24356781 6985195461 2019080699136 582480750716901 168345358435006461 48661103274438639429 14063204634840662505669 4064233456178403218509824 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.299661076636215, 0.57218688713033], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 331, 4959, 83635, 1422030, 24131707, 410259543, 6975744739, 118588889943, 2015994917086], "curve_counts_str": "15 331 4959 83635 1422030 24131707 410259543 6975744739 118588889943 2015994917086 ", "curves": ["y^2=9*x^6+13*x^5+6*x^4+11*x^3+8*x^2+10*x+7", "y^2=6*x^6+9*x^5+15*x^4+8*x^3+13*x^2+10", "y^2=11*x^5+x^4+4*x^3+8*x^2+3*x+8", "y^2=6*x^6+14*x^5+5*x^4+3*x^3+5*x^2+10*x+16", "y^2=3*x^6+9*x^5+11*x^4+8*x^3+9*x^2+11*x+11", "y^2=5*x^6+6*x^5+x^4+x^3+7*x^2+4", "y^2=3*x^6+7*x^5+11*x^4+4*x^3+11*x^2+8*x+4", "y^2=9*x^6+16*x^5+6*x^4+14*x^3+16*x^2+11*x+8", "y^2=3*x^6+2*x^5+11*x^4+11*x^3+8*x", "y^2=x^6+16*x^5+4*x^4+13*x^3+9*x^2+14*x+11", "y^2=16*x^6+10*x^5+15*x^4+13*x^3+5*x^2+8*x+15", "y^2=4*x^6+5*x^5+6*x^4+9*x^3+11*x^2+15*x+5", "y^2=16*x^5+14*x^4+8*x^3+6*x^2+2*x+8", "y^2=6*x^6+14*x^5+15*x^4+2*x^3+4*x^2+3*x+2", "y^2=x^6+11*x^5+4*x^4+6*x^3+x+11", "y^2=11*x^6+13*x^5+12*x^4+15*x^3+15*x+13", "y^2=3*x^6+15*x^5+7*x^4+15*x^3+9*x^2+8*x+10", "y^2=11*x^6+16*x^5+14*x^4+5*x^3+8*x^2+8", "y^2=12*x^6+6*x^5+6*x^4+6*x^3+13*x^2+14*x+15", "y^2=11*x^6+11*x^5+6*x^4+7*x^3+3*x^2+12*x+4"], "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.71725.1"], "geometric_splitting_field": "4.0.71725.1", "geometric_splitting_polynomials": [[191, -19, 27, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 20, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 20, "label": "2.17.ad_z", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.71725.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 19, 1, 2], [1, 19, 3, 2], [1, 29, 1, 4], [1, 31, 1, 4]], "poly": [1, -3, 25, -51, 289], "poly_str": "1 -3 25 -51 289 ", "primitive_models": [], "principal_polarization_count": 20, "q": 17, "real_poly": [1, -3, -9], "simple_distinct": ["2.17.ad_z"], "simple_factors": ["2.17.ad_zA"], "simple_multiplicities": [1], "singular_primes": ["3,7*F^2+F+3", "3,-6*F-4*V+8"], "size": 28, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.71725.1", "splitting_polynomials": [[191, -19, 27, -1, 1]], "twist_count": 2, "twists": [["2.17.d_z", "2.289.bp_bin", 2]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 2869, "zfv_singular_count": 4, "zfv_singular_primes": ["3,7*F^2+F+3", "3,-6*F-4*V+8"]}