# Stored data for abelian variety isogeny class 2.17.aj_bp, downloaded from the LMFDB on 21 February 2026.
{"abvar_count": 169, "abvar_counts": [169, 83317, 23743993, 6893398629, 2011960631824, 582679036603573, 168381752616945673, 48660082030956511557, 14063008289407622370553, 4064234484501891974889472], "abvar_counts_str": "169 83317 23743993 6893398629 2011960631824 582679036603573 168381752616945673 48660082030956511557 14063008289407622370553 4064234484501891974889472 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0511302365929281, 0.46674501953798], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 9, "curve_counts": [9, 291, 4833, 82531, 1417014, 24139923, 410348241, 6975598339, 118587234249, 2015995427166], "curve_counts_str": "9 291 4833 82531 1417014 24139923 410348241 6975598339 118587234249 2015995427166 ", "curves": ["y^2=6*x^6+3*x^5+4*x^4+6*x^3+14*x^2+10*x+5", "y^2=14*x^6+4*x^5+11*x^4+12*x^3+7*x^2+3*x+7", "y^2=4*x^6+x^5+16*x^4+9*x^3+13*x^2+x+5", "y^2=11*x^6+6*x^5+3*x^4+3*x^3+5*x^2+11"], "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": 1, "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": ["4.0.328653.3"], "geometric_splitting_field": "4.0.80613.1", "geometric_splitting_polynomials": [[39, 0, 10, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.17.aj_bp", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.328653.3"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 2], [1, 11, 1, 4]], "poly": [1, -9, 41, -153, 289], "poly_str": "1 -9 41 -153 289 ", "primitive_models": [], "principal_polarization_count": 4, "q": 17, "real_poly": [1, -9, 7], "simple_distinct": ["2.17.aj_bp"], "simple_factors": ["2.17.aj_bpA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.80613.1", "splitting_polynomials": [[39, 0, 10, -1, 1]], "twist_count": 2, "twists": [["2.17.j_bp", "2.289.b_atb", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 117, "zfv_singular_count": 0, "zfv_singular_primes": []}