# Stored data for abelian variety isogeny class 2.17.am_cn, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 139, "abvar_counts": [139, 79369, 24128176, 6943914441, 2010360903259, 582168877086976, 168359278701453979, 48661044555091420809, 14063084451918975425584, 4064226529530741241632649], "abvar_counts_str": "139 79369 24128176 6943914441 2010360903259 582168877086976 168359278701453979 48661044555091420809 14063084451918975425584 4064226529530741241632649 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0157896134133987, 0.349122946746732], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 6, "curve_counts": [6, 276, 4914, 83140, 1415886, 24118782, 410293470, 6975736324, 118587876498, 2015991481236], "curve_counts_str": "6 276 4914 83140 1415886 24118782 410293470 6975736324 118587876498 2015991481236 ", "curves": ["y^2=3*x^6+2*x^5+13*x^4+12*x^3+14*x^2+16*x+3", "y^2=7*x^6+10*x^5+3*x^3+4*x^2+15*x+7"], "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": 2, "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": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.15.1"], "geometric_splitting_field": "2.0.15.1", "geometric_splitting_polynomials": [[4, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.17.am_cn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.225.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -12, 65, -204, 289], "poly_str": "1 -12 65 -204 289 ", "primitive_models": [], "principal_polarization_count": 2, "q": 17, "real_poly": [1, -12, 31], "simple_distinct": ["2.17.am_cn"], "simple_factors": ["2.17.am_cnA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-5*F-2*V+25"], "size": 2, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.225.1", "splitting_polynomials": [[1, 1, 2, -1, 1]], "twist_count": 4, "twists": [["2.17.m_cn", "2.289.ao_adp", 2], ["2.17.a_o", "2.4913.a_anxi", 3], ["2.17.m_cn", "2.4913.a_anxi", 3], ["2.17.a_o", "2.24137569.abbuq_lmtoeo", 6], ["2.17.a_ao", "2.582622237229761.agsymqu_toxctwprsdy", 12]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 1, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 9, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-5*F-2*V+25"]}