Formats: - HTML - YAML - JSON - 2026-07-17T08:40:31.338949
Query: /api/av_fq_isog/?_offset=0
Show schema

{'abvar_count': 2190, 'abvar_counts': [2190, 2956500, 4722010110, 7985021634000, 13421240209584750, 22564248791199376500, 37929257516458888121310, 63758945903957447428224000, 107178946645333246388186372190, 180167784644336402347504360312500], 'abvar_counts_str': '2190 2956500 4722010110 7985021634000 13421240209584750 22564248791199376500 37929257516458888121310 63758945903957447428224000 107178946645333246388186372190 180167784644336402347504360312500 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.515941759933365, 0.76085616410579], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 52, 'curve_counts': [52, 1758, 68512, 2825798, 115843952, 4750263918, 194754429572, 7984914582718, 327381982282372, 13422659435903598], 'curve_counts_str': '52 1758 68512 2825798 115843952 4750263918 194754429572 7984914582718 327381982282372 13422659435903598 ', 'curves': ['y^2=34*x^5+14*x^4+x^3+23*x^2+3*x+23', 'y^2=31*x^6+25*x^5+24*x^4+34*x^3+21*x^2+6', 'y^2=31*x^6+27*x^4+35*x^3+29*x^2+4*x', 'y^2=2*x^6+33*x^5+39*x^4+26*x^3+9*x^2+28*x+4', 'y^2=22*x^6+10*x^5+x^4+3*x^3+13*x^2+2*x+21', 'y^2=11*x^5+19*x^4+3*x^3+37*x^2+21*x+37', 'y^2=33*x^6+20*x^5+35*x^4+3*x^3+34*x^2+7', 'y^2=15*x^6+2*x^5+13*x^4+23*x^3+39*x^2+19*x+28', 'y^2=5*x^6+13*x^5+31*x^4+26*x^3+21*x^2+11*x+20', 'y^2=2*x^6+35*x^5+32*x^4+10*x^3+14*x^2+28*x+19', 'y^2=30*x^6+33*x^5+21*x^4+6*x^3+31*x^2+28*x+35', 'y^2=34*x^6+32*x^5+x^4+37*x^3+26*x^2+6*x+33', 'y^2=11*x^6+4*x^5+32*x^4+8*x^3+2*x^2+20*x+33', 'y^2=12*x^6+6*x^5+8*x^4+4*x^3+38*x^2+36*x+23', 'y^2=22*x^6+38*x^5+11*x^4+36*x^3+30*x^2+33*x+5', 'y^2=2*x^6+35*x^5+30*x^4+15*x^3+x^2+40*x+31', 'y^2=23*x^6+25*x^5+19*x^4+22*x^2+39*x+1', 'y^2=x^6+34*x^5+12*x^4+17*x^3+14*x^2+5*x+8', 'y^2=18*x^6+27*x^5+17*x^4+30*x^3+33*x^2+25*x+18', 'y^2=x^6+33*x^5+26*x^4+30*x^3+36*x^2+x+2', 'y^2=40*x^6+9*x^5+7*x^4+17*x^3+25*x^2+26*x+33', 'y^2=9*x^6+20*x^5+32*x^4+17*x^3+37*x^2+31', 'y^2=21*x^6+18*x^5+13*x^4+9*x^3+30*x^2+37*x+26', 'y^2=32*x^6+32*x^5+7*x^4+29*x^3+20*x^2+14*x+38', 'y^2=29*x^6+31*x^5+6*x^4+3*x^3+8*x^2+19*x+27', 'y^2=4*x^6+28*x^5+33*x^4+39*x^3+39*x^2+32*x+5', 'y^2=39*x^6+7*x^5+27*x^4+34*x^3+28*x^2+40*x+24', 'y^2=4*x^6+9*x^5+26*x^4+10*x^3+34*x^2+39*x+40', 'y^2=30*x^6+29*x^5+19*x^4+26*x^3+7*x^2+26*x+15', 'y^2=9*x^6+11*x^5+37*x^4+39*x^3+18*x^2+18*x+24', 'y^2=15*x^6+16*x^5+8*x^4+8*x^3+30*x^2+38*x+40', 'y^2=29*x^6+20*x^5+38*x^4+32*x^3+32*x^2+18*x+18', 'y^2=3*x^6+34*x^5+28*x^4+27*x^3+17*x^2+33*x+38', 'y^2=x^6+2*x^5+3*x^4+12*x^3+40*x^2+23*x+7', 'y^2=23*x^6+26*x^5+35*x^4+31*x^3+34*x^2+21*x+10', 'y^2=31*x^6+36*x^5+29*x^4+29*x^3+32*x^2+7*x+17', 'y^2=9*x^6+12*x^5+8*x^4+10*x^3+32*x^2+11*x+25', 'y^2=30*x^6+35*x^5+2*x^4+39*x^3+30*x^2+28*x+8', 'y^2=23*x^6+24*x^5+21*x^4+14*x^3+24*x^2+35*x+23', 'y^2=25*x^6+16*x^5+22*x^4+3*x^3+2*x^2+11*x+33', 'y^2=15*x^6+16*x^5+22*x^4+4*x^3+5*x^2+18*x+6', 'y^2=x^6+30*x^5+20*x^4+30*x^3+33*x^2+22*x+26', 'y^2=39*x^6+10*x^5+17*x^4+14*x^3+35*x^2+11*x+30', 'y^2=29*x^6+21*x^5+26*x^4+3*x^3+14*x^2+35*x+36', 'y^2=21*x^6+24*x^5+5*x^4+38*x^3+15*x^2+10*x+27', 'y^2=5*x^6+x^4+32*x^3+11*x^2+15*x+4', 'y^2=17*x^6+21*x^5+28*x^4+38*x^3+27*x^2+23*x+8', 'y^2=6*x^6+31*x^5+39*x^4+18*x^3+19*x^2+10*x+4', 'y^2=21*x^6+7*x^5+3*x^4+32*x^3+32*x^2+12*x+34', 'y^2=7*x^6+16*x^5+26*x^4+2*x^3+33*x^2+5*x+18', 'y^2=4*x^6+32*x^5+30*x^4+27*x^3+25*x^2+26*x+27', 'y^2=25*x^6+22*x^5+19*x^4+23*x^3+36*x^2+20*x+19', 'y^2=17*x^6+13*x^5+38*x^4+20*x^3+30*x^2+10*x+9', 'y^2=9*x^6+36*x^5+8*x^4+12*x^3+7*x^2+12*x+3', 'y^2=26*x^6+28*x^5+13*x^4+27*x^3+2*x^2+21*x+27', 'y^2=9*x^6+23*x^5+25*x^4+40*x^3+7*x^2+26*x+30', 'y^2=31*x^6+21*x^5+12*x^4+17*x^3+9*x^2+32*x+38', 'y^2=34*x^6+38*x^5+6*x^4+21*x^3+17*x^2+12*x+31', 'y^2=33*x^6+12*x^5+10*x^4+19*x^3+23*x^2+28*x+13', 'y^2=20*x^6+32*x^5+40*x^4+9*x^2+24*x+13', 'y^2=30*x^6+14*x^5+32*x^4+35*x^3+17*x+12', 'y^2=34*x^6+12*x^5+39*x^4+29*x^3+13*x^2+23*x+19', 'y^2=4*x^6+39*x^5+2*x^4+16*x^3+20*x^2+26*x+37', 'y^2=3*x^6+13*x^5+17*x^4+25*x^3+21*x^2+32*x+34', 'y^2=16*x^6+22*x^5+18*x^4+11*x^3+39*x^2+7*x+2', 'y^2=4*x^6+15*x^5+4*x^4+2*x^3+6*x^2+40*x+28', 'y^2=32*x^6+7*x^5+9*x^4+39*x^3+21*x^2+21*x', 'y^2=13*x^6+37*x^5+24*x^4+22*x^3+2*x^2+x+3', 'y^2=9*x^6+14*x^5+9*x^4+7*x^3+32*x^2+3*x+33', 'y^2=3*x^6+14*x^5+23*x^4+22*x^3+15*x^2+18*x+28', 'y^2=2*x^6+19*x^5+9*x^4+26*x^3+7*x^2+3*x+40', 'y^2=6*x^6+25*x^5+21*x^4+26*x^3+3*x^2+5*x+32', 'y^2=32*x^6+31*x^5+4*x^4+9*x^3+14*x^2+33*x+39', 'y^2=2*x^6+4*x^5+15*x^4+7*x^3+40*x^2+9*x+18'], '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': 3, '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': ['4.0.115520.3'], 'geometric_splitting_field': '4.0.7600.1', 'geometric_splitting_polynomials': [[19, 0, 9, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 74, 'id': 23363, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 74, 'label': '2.41.k_dk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.115520.3'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 10, 88, 410, 1681], 'poly_str': '1 10 88 410 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, 10, 6], 'simple_distinct': ['2.41.k_dk'], 'simple_factors': ['2.41.k_dkA'], 'simple_multiplicities': [1], 'singular_primes': ['5,25*F+11*V+106'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7600.1', 'splitting_polynomials': [[19, 0, 9, 0, 1]], 'twist_count': 2, 'twists': [['2.41.ak_dk', '2.1681.cy_ehu', 2]], 'weak_equivalence_count': 3, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 12500, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,25*F+11*V+106']}