# Stored data for abelian variety isogeny class 2.17.ac_ao, downloaded from the LMFDB on 06 September 2025.
{"abvar_count": 240, "abvar_counts": [240, 74880, 23203440, 6996787200, 2012133433200, 582640049047680, 168389316171283440, 48660500749182566400, 14063203692895674535920, 4064234154788176529846400], "abvar_counts_str": "240 74880 23203440 6996787200 2012133433200 582640049047680 168389316171283440 48660500749182566400 14063203692895674535920 4064234154788176529846400 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0779791303773693, 0.759367463009539], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 16, "curve_counts": [16, 258, 4720, 83774, 1417136, 24138306, 410366672, 6975658366, 118588882000, 2015995263618], "curve_counts_str": "16 258 4720 83774 1417136 24138306 410366672 6975658366 118588882000 2015995263618 ", "curves": ["y^2=13*x^6+x^5+14*x^4+11*x^3+5*x^2+16*x+16", "y^2=4*x^6+2*x^5+14*x^4+12*x^3+15*x^2+2*x+12", "y^2=15*x^6+5*x^5+3*x^3+7*x^2+4*x", "y^2=9*x^6+4*x^5+x^4+11*x^3+4*x^2+3*x+6", "y^2=14*x^6+12*x^5+11*x^4+13*x^3+10*x^2+12*x", "y^2=14*x^6+10*x^5+16*x^4+10*x^3+x^2+5*x+15", "y^2=9*x^6+8*x^5+x^4+7*x^3+7*x^2+12*x", "y^2=16*x^6+7*x^5+7*x^4+2*x^3+7*x^2+7*x+16", "y^2=6*x^6+13*x^5+2*x^4+2*x^3+15*x^2+11*x+13", "y^2=3*x^6+2*x^5+6*x^4+16*x^3+14*x^2+2*x+9", "y^2=7*x^6+5*x^5+4*x^4+12*x^3+7*x^2+5*x", "y^2=14*x^6+3*x^5+15*x^4+15*x^3+4*x^2+16*x+11", "y^2=12*x^6+14*x^5+12*x^4+12*x^3+16*x^2+10*x", "y^2=16*x^6+13*x^5+13*x^4+3*x^3+15*x^2+11*x+2", "y^2=9*x^6+14*x^5+13*x^4+12*x^3+9*x^2+x+3", "y^2=10*x^6+2*x^5+7*x^4+14*x^3+x^2+8*x+4"], "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": 10, "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": ["2.0.4.1", "2.0.8.1"], "geometric_splitting_field": "4.0.256.1", "geometric_splitting_polynomials": [[1, 0, 0, 0, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 16, "label": "2.17.ac_ao", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.4.1", "2.0.8.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 3, 1, 24], [1, 5, 1, 24]], "poly": [1, -2, -14, -34, 289], "poly_str": "1 -2 -14 -34 289 ", "primitive_models": [], "principal_polarization_count": 19, "q": 17, "real_poly": [1, -2, -48], "simple_distinct": ["1.17.ai", "1.17.g"], "simple_factors": ["1.17.aiA", "1.17.gA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,V-3", "7,F^2+8*F+2*V+22"], "size": 154, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 8, "twists": [["2.17.ao_de", "2.289.abg_yo", 2], ["2.17.c_ao", "2.289.abg_yo", 2], ["2.17.o_de", "2.289.abg_yo", 2], ["2.17.ai_bu", "2.83521.js_abaic", 4], ["2.17.ae_w", "2.83521.js_abaic", 4], ["2.17.e_w", "2.83521.js_abaic", 4], ["2.17.i_bu", "2.83521.js_abaic", 4]], "weak_equivalence_count": 12, "zfv_index": 392, "zfv_index_factorization": [[2, 3], [7, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 128, "zfv_singular_count": 4, "zfv_singular_primes": ["2,V-3", "7,F^2+8*F+2*V+22"]}