# Stored data for abelian variety isogeny class 2.29.af_w, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 714, "abvar_counts": [714, 723996, 589247064, 501005232000, 421063731011154, 353823100942461696, 297558860500546128834, 250247220544860057792000, 210457198476666953121190104, 176994547151248502971265686716], "abvar_counts_str": "714 723996 589247064 501005232000 421063731011154 353823100942461696 297558860500546128834 250247220544860057792000 210457198476666953121190104 176994547151248502971265686716 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.185103371333337, 0.621118941590843], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 25, "curve_counts": [25, 861, 24160, 708353, 20528525, 594837306, 17249912705, 500247905953, 14507140055440, 420707164368981], "curve_counts_str": "25 861 24160 708353 20528525 594837306 17249912705 500247905953 14507140055440 420707164368981 ", "curves": ["y^2=4*x^6+14*x^5+18*x^4+9*x^3+27*x^2+7*x+27", "y^2=20*x^6+21*x^5+5*x^4+5*x^3+15*x^2+23*x+12", "y^2=15*x^6+9*x^5+11*x^4+12*x^3+27*x^2+8*x+12", "y^2=10*x^6+13*x^5+4*x^4+8*x^3+x^2+5*x", "y^2=19*x^6+10*x^5+2*x^4+18*x^3+x^2+26*x", "y^2=18*x^6+8*x^5+15*x^4+3*x^3+3*x^2+4*x+8", "y^2=3*x^6+x^5+4*x^4+4*x^3+11*x^2+22*x+23", "y^2=10*x^6+x^5+11*x^4+16*x^3+23*x^2+16*x+8", "y^2=3*x^6+6*x^5+4*x^4+14*x^3+3*x^2+28*x+15", "y^2=26*x^6+18*x^5+6*x^4+12*x^3+23*x^2+9*x+17", "y^2=5*x^6+12*x^5+25*x^4+21*x^3+5*x^2+5*x+24", "y^2=24*x^6+20*x^5+10*x^4+24*x^3+12*x^2+28*x+27", "y^2=14*x^6+15*x^4+27*x^3+11*x^2+22*x+27", "y^2=15*x^6+28*x^5+2*x^4+x^3+26*x^2+8*x+28", "y^2=5*x^6+27*x^5+16*x^4+24*x^3+20*x^2+7*x+2", "y^2=17*x^6+26*x^5+6*x^4+17*x^3+21*x^2+25*x+27", "y^2=27*x^6+17*x^5+24*x^4+10*x^3+5*x^2+23*x+26", "y^2=11*x^6+4*x^5+8*x^4+13*x^3+23*x^2+13*x+9", "y^2=22*x^6+22*x^5+21*x^4+4*x^3+15*x^2+3*x+3", "y^2=20*x^6+13*x^5+13*x^4+2*x^3+5*x^2+22*x+25", "y^2=7*x^6+5*x^5+2*x^4+23*x^3+22*x^2+12*x+28", "y^2=2*x^6+17*x^5+10*x^4+14*x^3+15*x^2+12*x+23", "y^2=7*x^6+22*x^5+7*x^4+2*x^3+21*x^2+2*x+21", "y^2=28*x^6+26*x^4+13*x^3+26*x^2+8", "y^2=26*x^6+2*x^5+5*x^4+5*x^3+14*x^2+27*x+19", "y^2=11*x^6+8*x^5+5*x^3+20*x^2+10*x+2", "y^2=19*x^6+4*x^5+10*x^4+14*x^3+6*x^2+22*x+15", "y^2=10*x^6+21*x^5+9*x^4+26*x^3+18*x^2+18*x+27", "y^2=2*x^6+25*x^5+26*x^4+16*x^3+12*x^2+20*x+27", "y^2=21*x^6+22*x^5+x^4+15*x^3+21*x^2+27*x+10"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.35.1", "2.0.4.1"], "geometric_splitting_field": "4.0.19600.2", "geometric_splitting_polynomials": [[81, 0, -17, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 30, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 30, "label": "2.29.af_w", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.35.1", "2.0.4.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -5, 22, -145, 841], "poly_str": "1 -5 22 -145 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -5, -36], "simple_distinct": ["1.29.aj", "1.29.e"], "simple_factors": ["1.29.ajA", "1.29.eA"], "simple_multiplicities": [1, 1], "singular_primes": ["13,49*F-3", "13,F+16", "5,2*F-V-3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.19600.2", "splitting_polynomials": [[81, 0, -17, 0, 1]], "twist_count": 8, "twists": [["2.29.an_dq", "2.841.t_bbo", 2], ["2.29.f_w", "2.841.t_bbo", 2], ["2.29.n_dq", "2.841.t_bbo", 2], ["2.29.at_fs", "2.707281.bpf_cxcrw", 4], ["2.29.ab_abg", "2.707281.bpf_cxcrw", 4], ["2.29.b_abg", "2.707281.bpf_cxcrw", 4], ["2.29.t_fs", "2.707281.bpf_cxcrw", 4]], "weak_equivalence_count": 8, "zfv_index": 845, "zfv_index_factorization": [[5, 1], [13, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3500, "zfv_singular_count": 6, "zfv_singular_primes": ["13,49*F-3", "13,F+16", "5,2*F-V-3"]}