# Stored data for abelian variety isogeny class 2.17.d_bg, downloaded from the LMFDB on 23 February 2026.
{"abvar_count": 376, "abvar_counts": [376, 100768, 23612800, 6939690624, 2017532949496, 582627516467200, 168385204847499064, 48661254140531341824, 14062974602667559484800, 4064234456395249791917728], "abvar_counts_str": "376 100768 23612800 6939690624 2017532949496 582627516467200 168385204847499064 48661254140531341824 14062974602667559484800 4064234456395249791917728 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.478306855227577, 0.642157270347482], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 21, "curve_counts": [21, 345, 4806, 83089, 1420941, 24137790, 410356653, 6975766369, 118586950182, 2015995413225], "curve_counts_str": "21 345 4806 83089 1420941 24137790 410356653 6975766369 118586950182 2015995413225 ", "curves": ["y^2=12*x^6+9*x^5+x^4+12*x^3+2*x^2+12*x+5", "y^2=11*x^6+x^5+x^4+2*x^3+3*x^2+14*x+1", "y^2=12*x^6+12*x^5+15*x^4+16*x^3+2*x^2+16*x", "y^2=6*x^6+10*x^5+6*x^3+11*x^2+5*x+1", "y^2=4*x^6+14*x^5+9*x^4+6*x^3+9*x^2+4*x+3", "y^2=13*x^6+14*x^5+8*x^4+16*x^3+4*x^2+15*x+4", "y^2=4*x^6+7*x^5+x^4+5*x^3+12*x^2+8*x", "y^2=2*x^6+3*x^5+15*x^4+6*x^3+7*x^2+9*x+9", "y^2=5*x^6+x^5+4*x^4+12*x^3+9*x^2+10*x+10", "y^2=13*x^6+15*x^5+16*x^4+12*x^3+3*x^2+10*x+9", "y^2=14*x^6+9*x^5+4*x^4+14*x^3+5*x^2+4*x+6", "y^2=16*x^6+10*x^4+15*x^3+4*x^2+13*x+12"], "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": ["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": ["4.0.270504.1"], "geometric_splitting_field": "4.0.270504.1", "geometric_splitting_polynomials": [[234, 0, 33, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.17.d_bg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.270504.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 13, 1, 2], [1, 17, 1, 2]], "poly": [1, 3, 32, 51, 289], "poly_str": "1 3 32 51 289 ", "primitive_models": [], "principal_polarization_count": 12, "q": 17, "real_poly": [1, 3, -2], "simple_distinct": ["2.17.d_bg"], "simple_factors": ["2.17.d_bgA"], "simple_multiplicities": [1], "singular_primes": ["2,-3*F+3"], "size": 12, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.270504.1", "splitting_polynomials": [[234, 0, 33, 0, 1]], "twist_count": 2, "twists": [["2.17.ad_bg", "2.289.cd_bxw", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3744, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-3*F+3"]}