Query:
/api/av_fq_isog/?_offset=0
Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
{'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, 'id': 14160, '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']}