# Stored data for abelian variety isogeny class 2.17.f_bd, downloaded from the LMFDB on 24 November 2025.
{"abvar_count": 409, "abvar_counts": [409, 93661, 23872921, 6979711381, 2011881182464, 582820625789581, 168400292119822801, 48659240935572466725, 14063078575403554327009, 4064234088786174487760896], "abvar_counts_str": "409 93661 23872921 6979711381 2011881182464 582820625789581 168400292119822801 48659240935572466725 14063078575403554327009 4064234088786174487760896 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.466971795190076, 0.751266277383081], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 23, "curve_counts": [23, 323, 4859, 83571, 1416958, 24145787, 410393419, 6975477763, 118587826943, 2015995230878], "curve_counts_str": "23 323 4859 83571 1416958 24145787 410393419 6975477763 118587826943 2015995230878 ", "curves": ["y^2=4*x^6+13*x^5+5*x^4+12*x^3+3*x^2+7*x+4", "y^2=x^6+13*x^5+5*x^4+4*x^3+4*x^2+5*x+14", "y^2=13*x^6+9*x^5+14*x^4+13*x^3+6*x+2", "y^2=14*x^6+7*x^5+16*x^4+16*x^3+3*x^2+7*x+1", "y^2=x^6+8*x^5+5*x^4+8*x^3+8*x^2+15", "y^2=6*x^6+12*x^4+2*x^3+9*x+1", "y^2=4*x^6+7*x^5+3*x^4+11*x^3+9*x^2+13", "y^2=8*x^6+5*x^5+9*x^3+16*x^2+4*x+8", "y^2=8*x^5+15*x^4+14*x^3+5*x^2+15*x+3"], "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": ["4.0.56725.1"], "geometric_splitting_field": "4.0.56725.1", "geometric_splitting_polynomials": [[149, -3, 25, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 9, "label": "2.17.f_bd", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.56725.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 5, 29, 85, 289], "poly_str": "1 5 29 85 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 5, -5], "simple_distinct": ["2.17.f_bd"], "simple_factors": ["2.17.f_bdA"], "simple_multiplicities": [1], "singular_primes": ["3,5*F^2+F-V-15"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.56725.1", "splitting_polynomials": [[149, -3, 25, -1, 1]], "twist_count": 2, "twists": [["2.17.af_bd", "2.289.bh_vx", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 2269, "zfv_singular_count": 2, "zfv_singular_primes": ["3,5*F^2+F-V-15"]}