# Stored data for abelian variety isogeny class 2.17.i_bg, downloaded from the LMFDB on 15 January 2026.
{"abvar_count": 466, "abvar_counts": [466, 82948, 24896050, 6880370704, 2018846991346, 582622191933700, 168397500986100754, 48658925715634520064, 14063141898998542964050, 4064231406644218986637828], "abvar_counts_str": "466 82948 24896050 6880370704 2018846991346 582622191933700 168397500986100754 48658925715634520064 14063141898998542964050 4064231406644218986637828 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.490632536990461, 0.990632536990461], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 26, "curve_counts": [26, 290, 5066, 82374, 1421866, 24137570, 410386618, 6975432574, 118588360922, 2015993900450], "curve_counts_str": "26 290 5066 82374 1421866 24137570 410386618 6975432574 118588360922 2015993900450 ", "curves": ["y^2=x^5+14*x", "y^2=x^6+3*x^5+2*x^4+2*x^2+14*x+1"], "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": 4, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 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.i_bg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.256.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2]], "poly": [1, 8, 32, 136, 289], "poly_str": "1 8 32 136 289 ", "primitive_models": [], "principal_polarization_count": 2, "q": 17, "real_poly": [1, 8, -2], "simple_distinct": ["2.17.i_bg"], "simple_factors": ["2.17.i_bgA"], "simple_multiplicities": [1], "singular_primes": ["3,-13*F-4*V-37"], "size": 3, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 8, "twists": [["2.17.ai_bg", "2.289.a_awc", 2], ["2.17.am_cs", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.a_ac", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.a_c", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.m_cs", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.ag_t", "2.339448671314611904643504117121.amooelrxyykq_cvnbjxscwgdnlnlwfntnwo", 24], ["2.17.g_t", "2.339448671314611904643504117121.amooelrxyykq_cvnbjxscwgdnlnlwfntnwo", 24]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 4, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-13*F-4*V-37"]}