Query:
/api/av_fq_isog/?_offset=0
Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
{'abvar_count': 1692, 'abvar_counts': [1692, 1962720, 2562933312, 3513465072000, 4806750329355852, 6583167318045726720, 9012140481579109473996, 12337496430090476958144000, 16890053632131845142636245568, 23122483308694486808982178725600], 'abvar_counts_str': '1692 1962720 2562933312 3513465072000 4806750329355852 6583167318045726720 9012140481579109473996 12337496430090476958144000 16890053632131845142636245568 23122483308694486808982178725600 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.447431543288747, 0.765077740875459], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 45, 'curve_counts': [45, 1433, 50598, 1874689, 69317505, 2565810326, 94932711261, 3512475045601, 129961738422126, 4808584297974593], 'curve_counts_str': '45 1433 50598 1874689 69317505 2565810326 94932711261 3512475045601 129961738422126 4808584297974593 ', 'curves': ['y^2=9*x^6+18*x^5+35*x^4+30*x^3+36*x^2+21*x', 'y^2=27*x^6+5*x^5+19*x^4+25*x^2+11*x+2', 'y^2=16*x^6+12*x^5+7*x^4+x^3+25*x^2+23*x', 'y^2=16*x^6+4*x^5+18*x^4+4*x^3+11*x^2+27*x+16', 'y^2=11*x^6+2*x^5+33*x^4+15*x^3+3*x^2+15*x+2', 'y^2=26*x^6+27*x^5+10*x^4+26*x^3+8*x^2+29*x+4', 'y^2=36*x^6+14*x^5+9*x^4+34*x^3+23*x^2+21', 'y^2=10*x^6+22*x^5+4*x^4+35*x^3+22*x^2+29*x+9', 'y^2=24*x^5+35*x^4+22*x^3+17*x^2+25', 'y^2=7*x^6+30*x^5+36*x^4+14*x^3+12*x^2+x+11', 'y^2=36*x^6+19*x^5+28*x^4+8*x^3+8*x^2+30*x+11', 'y^2=x^6+23*x^5+27*x^4+20*x^3+32*x^2+16*x+30', 'y^2=13*x^6+20*x^5+4*x^4+19*x^3+10*x^2+15*x+6', 'y^2=32*x^6+x^5+25*x^4+34*x^3+18*x^2+36*x+15', 'y^2=4*x^6+25*x^5+x^4+10*x^3+33*x^2+11*x+17', 'y^2=28*x^6+7*x^5+36*x^4+14*x^3+9*x^2+18*x+27', 'y^2=34*x^6+3*x^5+30*x^4+12*x^3+36*x^2+19*x+5', 'y^2=35*x^6+4*x^5+25*x^4+10*x^3+17*x^2+35*x+1', 'y^2=19*x^6+31*x^5+21*x^4+28*x^3+27*x^2+5*x+29', 'y^2=33*x^6+21*x^5+36*x^4+9*x^3+13*x^2+9*x+30', 'y^2=15*x^6+12*x^5+3*x^4+21*x^3+16*x^2+2*x+12', 'y^2=15*x^6+33*x^5+16*x^4+30*x^3+12*x^2+14*x+21', 'y^2=27*x^6+28*x^5+23*x^4+7*x^3+6*x^2+7*x+23', 'y^2=6*x^6+26*x^5+17*x^4+29*x^3+16*x^2+34*x+20', 'y^2=32*x^6+17*x^5+3*x^4+34*x^3+3*x^2+34*x+9', 'y^2=16*x^6+34*x^5+2*x^4+28*x^3+30*x^2+6*x+4', 'y^2=12*x^6+22*x^5+23*x^4+9*x^3+x^2+34*x+5', 'y^2=23*x^6+4*x^5+25*x^4+4*x^3+17*x^2+17*x+2', 'y^2=3*x^6+30*x^5+18*x^4+13*x^3+36*x^2+28*x', 'y^2=28*x^6+34*x^5+7*x^4+7*x^3+20*x^2+17', 'y^2=36*x^6+22*x^5+9*x^4+20*x^3+8*x^2+8*x+27', 'y^2=9*x^6+35*x^5+x^4+31*x^3+32*x^2+2*x+2', 'y^2=7*x^6+19*x^5+5*x^4+9*x^3+17*x^2+20*x+23', 'y^2=8*x^5+20*x^4+30*x^3+2*x^2+33*x+11', 'y^2=26*x^6+27*x^5+22*x^4+12*x^3+26*x^2+14*x+9', 'y^2=30*x^6+2*x^5+2*x^4+21*x^3+13*x^2+16*x+12', 'y^2=31*x^6+7*x^5+36*x^4+11*x^3+16*x^2+3*x+33', 'y^2=22*x^5+24*x^4+x^3+25*x^2+7', 'y^2=28*x^6+16*x^5+34*x^4+16*x^3+15*x^2+16*x+31', 'y^2=12*x^6+14*x^5+x^4+34*x^3+17*x^2+25*x+27', 'y^2=10*x^6+3*x^5+23*x^4+31*x^3+21*x^2+8*x+15', 'y^2=5*x^6+35*x^5+26*x^4+27*x^3+11*x^2+x+15', 'y^2=2*x^6+5*x^5+17*x^4+9*x^3+14*x^2+27*x+5', 'y^2=23*x^6+28*x^5+8*x^4+31*x^3+6*x^2+x+10', 'y^2=16*x^6+21*x^5+33*x^4+21*x^3+2*x^2+29*x+29'], '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': ['2.0.4.1', '2.0.67.1'], 'geometric_splitting_field': '4.0.71824.1', 'geometric_splitting_polynomials': [[289, 0, -33, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 45, 'id': 20419, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 45, 'label': '2.37.h_ce', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.4.1', '2.0.67.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 7, 56, 259, 1369], 'poly_str': '1 7 56 259 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 7, -18], 'simple_distinct': ['1.37.ac', '1.37.j'], 'simple_factors': ['1.37.acA', '1.37.jA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F+4*V+1', '3,20*F+4', '11,-F^2-18*F+2*V-52'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.71824.1', 'splitting_polynomials': [[289, 0, -33, 0, 1]], 'twist_count': 8, 'twists': [['2.37.al_do', '2.1369.cl_dim', 2], ['2.37.ah_ce', '2.1369.cl_dim', 2], ['2.37.l_do', '2.1369.cl_dim', 2], ['2.37.av_ha', '2.1874161.uh_aennem', 4], ['2.37.ad_abi', '2.1874161.uh_aennem', 4], ['2.37.d_abi', '2.1874161.uh_aennem', 4], ['2.37.v_ha', '2.1874161.uh_aennem', 4]], 'weak_equivalence_count': 8, 'zfv_index': 726, 'zfv_index_factorization': [[2, 1], [3, 1], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 9648, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,3*F+4*V+1', '3,20*F+4', '11,-F^2-18*F+2*V-52']}