# Stored data for abelian variety isogeny class 2.17.ac_ba, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 280, "abvar_counts": [280, 98560, 24360280, 6970163200, 2017240317400, 582410251413760, 168354848231472280, 48662349062661734400, 14063230958754079052440, 4064228972070717119084800], "abvar_counts_str": "280 98560 24360280 6970163200 2017240317400 582410251413760 168354848231472280 48662349062661734400 14063230958754079052440 4064228972070717119084800 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.338793663196658, 0.577979130377369], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 16, "curve_counts": [16, 338, 4960, 83454, 1420736, 24128786, 410282672, 6975923326, 118589111920, 2015992692818], "curve_counts_str": "16 338 4960 83454 1420736 24128786 410282672 6975923326 118589111920 2015992692818 ", "curves": ["y^2=11*x^6+14*x^5+14*x^4+9*x^3+15*x^2+5*x+9", "y^2=8*x^6+2*x^5+2*x^4+16*x^3+12*x^2+2*x+14", "y^2=12*x^6+14*x^5+10*x^4+12*x^3+6*x^2+2*x+3", "y^2=9*x^6+16*x^5+2*x^4+6*x^3+5*x^2+15*x+16", "y^2=7*x^6+9*x^5+8*x^4+6*x^3+7*x^2+10*x+12", "y^2=6*x^6+4*x^5+11*x^4+7*x^3+12*x^2+16*x+3", "y^2=12*x^6+14*x^5+9*x^4+13*x^3+16*x^2+13*x", "y^2=14*x^6+10*x^5+16*x^4+2*x^2+6*x+15", "y^2=5*x^6+2*x^5+11*x^4+2*x^3+2*x^2+x+4", "y^2=7*x^5+8*x^4+13*x^3+8*x^2+7*x", "y^2=3*x^6+15*x^5+9*x^4+16*x^3+13*x^2+7*x", "y^2=x^6+2*x^5+14*x^4+4*x^3+14*x^2+2*x+1", "y^2=13*x^6+12*x^5+14*x^4+5*x^3+5*x^2+3*x+3", "y^2=9*x^6+13*x^5+4*x^4+8*x^3+9*x+11", "y^2=8*x^6+15*x^5+8*x^4+14*x^3+11*x^2+7*x+2", "y^2=5*x^6+11*x^5+3*x^4+3*x^3+6*x^2+3*x+8", "y^2=5*x^6+10*x^5+12*x^4+4*x^3+11*x^2+11*x+10", "y^2=16*x^6+14*x^5+x^4+2*x^3+x^2+14*x+16", "y^2=9*x^6+9*x^5+14*x^4+5*x^3+8*x^2+12*x+10", "y^2=5*x^6+13*x^5+16*x^4+14*x^3+12*x^2+11*x+11", "y^2=12*x^6+2*x^3+2*x^2+2*x+14", "y^2=14*x^6+3*x^5+12*x^4+2*x^3+9*x^2+10*x+1", "y^2=5*x^6+7*x^5+2*x^4+x^3+2*x^2+7*x+5", "y^2=14*x^6+8*x^5+12*x^4+9*x^3+16*x^2+16*x", "y^2=9*x^6+10*x^5+16*x^4+15*x^2+5*x+2", "y^2=15*x^6+13*x^5+x^4+3*x^3+7*x^2+11*x+16", "y^2=6*x^6+3*x^5+15*x^4+16*x^3+16*x^2+12*x+16", "y^2=9*x^6+7*x^5+4*x^4+14*x^3+14*x^2+5*x+7", "y^2=16*x^6+10*x^5+3*x^4+6*x^3+5*x^2+7", "y^2=4*x^6+x^5+12*x^4+16*x^3+11*x^2+9*x+15", "y^2=8*x^6+12*x^5+16*x^4+5*x^3+4*x^2+6*x+3", "y^2=6*x^6+8*x^5+4*x^4+12*x^3+11*x^2+13*x+12", "y^2=6*x^6+3*x^5+16*x^4+14*x^3+16*x^2+3*x+6", "y^2=11*x^6+8*x^5+13*x^4+5*x^3+13*x^2+x", "y^2=12*x^6+2*x^5+10*x^4+7*x^3+12*x^2+10*x+8", "y^2=3*x^5+3*x^4+13*x^3+5*x^2+x+2", "y^2=12*x^6+13*x^5+8*x^4+13*x^3+8*x^2+11*x+8", "y^2=3*x^6+4*x^5+x^4+6*x^3+4*x^2+13*x+5"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 14, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.52.1", "2.0.4.1"], "geometric_splitting_field": "4.0.2704.1", "geometric_splitting_polynomials": [[9, 0, 7, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 38, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 38, "label": "2.17.ac_ba", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.52.1", "2.0.4.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 5, 1, 4], [1, 7, 1, 4], [1, 11, 1, 4]], "poly": [1, -2, 26, -34, 289], "poly_str": "1 -2 26 -34 289 ", "primitive_models": [], "principal_polarization_count": 46, "q": 17, "real_poly": [1, -2, -8], "simple_distinct": ["1.17.ae", "1.17.c"], "simple_factors": ["1.17.aeA", "1.17.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-15*F+3", "3,F^2+2*F+26"], "size": 142, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2704.1", "splitting_polynomials": [[9, 0, 7, 0, 1]], "twist_count": 8, "twists": [["2.17.ag_bq", "2.289.bw_bra", 2], ["2.17.c_ba", "2.289.bw_bra", 2], ["2.17.g_bq", "2.289.bw_bra", 2], ["2.17.am_co", "2.83521.acq_ewda", 4], ["2.17.ae_c", "2.83521.acq_ewda", 4], ["2.17.e_c", "2.83521.acq_ewda", 4], ["2.17.m_co", "2.83521.acq_ewda", 4]], "weak_equivalence_count": 18, "zfv_index": 144, "zfv_index_factorization": [[2, 4], [3, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 32, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3328, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-15*F+3", "3,F^2+2*F+26"]}