Formats: - HTML - YAML - JSON - 2026-09-20T14:38:28.171867
Query: /api/av_fq_isog/?_offset=0
Show schema

{'abvar_count': 3969, 'abvar_counts': [3969, 12895281, 41974175376, 146711275428249, 511180374963876849, 1779210641270870067456, 6193370806595784787703049, 21559177418283088722926405289, 75047499716182137913962719077776, 261240334942586769988305475184428401], 'abvar_counts_str': '3969 12895281 41974175376 146711275428249 511180374963876849 1779210641270870067456 6193370806595784787703049 21559177418283088722926405289 75047499716182137913962719077776 261240334942586769988305475184428401 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.56256265302211, 0.56256265302211], 'center_dim': 2, 'curve_count': 66, 'curve_counts': [66, 3700, 204372, 12107524, 715013286, 42180847126, 2488645294194, 146830437680644, 8662996183672908, 511116752201084500], 'curve_counts_str': '66 3700 204372 12107524 715013286 42180847126 2488645294194 146830437680644 8662996183672908 511116752201084500 ', 'curves': ['y^2=45*x^6+27*x^5+15*x^4+43*x^3+18*x^2+55*x+51', 'y^2=28*x^6+24*x^5+11*x^4+18*x^3+40*x^2+12*x+18', 'y^2=22*x^6+28*x^5+43*x^4+42*x^3+43*x^2+28*x+22', 'y^2=3*x^6+35*x^5+16*x^4+33*x^3+45*x^2+48*x+20', 'y^2=2*x^6+10*x^5+18*x^4+53*x^3+18*x^2+10*x+2', 'y^2=40*x^6+22*x^5+3*x^4+5*x^3+10*x^2+3*x+2', 'y^2=48*x^6+39*x^5+3*x^4+16*x^3+3*x^2+39*x+48', 'y^2=33*x^6+49*x^5+24*x^4+52*x^3+17*x^2+2*x+40', 'y^2=27*x^6+22*x^5+40*x^4+20*x^3+40*x^2+22*x+27', 'y^2=24*x^6+47*x^5+43*x^4+5*x^3+43*x^2+47*x+24', 'y^2=5*x^6+42*x^5+8*x^4+54*x^3+8*x^2+42*x+5', 'y^2=15*x^6+10*x^5+15*x^4+8*x^3+15*x^2+10*x+15', 'y^2=5*x^6+30*x^5+32*x^4+3*x^3+32*x^2+30*x+5', 'y^2=10*x^6+55*x^5+54*x^4+16*x^3+4*x+16', 'y^2=40*x^6+15*x^5+42*x^4+19*x^3+54*x^2+26*x+47', 'y^2=10*x^6+24*x^5+21*x^4+34*x^3+21*x^2+24*x+10', 'y^2=7*x^6+6*x^5+34*x^4+44*x^3+27*x^2+4*x+15', 'y^2=25*x^6+12*x^5+12*x^4+39*x^3+12*x^2+12*x+25', 'y^2=17*x^6+43*x^5+48*x^4+7*x^3+48*x^2+43*x+17', 'y^2=39*x^6+30*x^5+12*x^4+23*x^3+6*x^2+51*x+32', 'y^2=30*x^6+16*x^5+22*x^4+17*x^3+22*x^2+16*x+30', 'y^2=3*x^6+4*x^5+23*x^4+15*x^3+6*x^2+46*x+9', 'y^2=39*x^6+47*x^5+55*x^4+34*x^3+54*x^2+49*x+1', 'y^2=57*x^6+9*x^5+17*x^4+13*x^3+41*x^2+37*x+7', 'y^2=25*x^6+57*x^5+29*x^4+6*x^3+5*x^2+53*x+23', 'y^2=29*x^6+7*x^5+37*x^4+30*x^3+37*x^2+7*x+29', 'y^2=28*x^6+50*x^5+16*x^4+14*x^3+16*x^2+50*x+28', 'y^2=31*x^6+35*x^5+27*x^3+35*x+31', 'y^2=55*x^6+18*x^5+58*x^4+49*x^3+58*x^2+18*x+55', 'y^2=5*x^6+42*x^5+5*x^4+12*x^3+5*x^2+42*x+5', 'y^2=39*x^6+26*x^5+20*x^4+5*x^3+26*x^2+5*x+54', 'y^2=7*x^6+26*x^5+6*x^4+27*x^3+25*x^2+33*x+49', 'y^2=25*x^6+31*x^5+9*x^4+15*x^3+9*x^2+31*x+25', 'y^2=43*x^6+18*x^5+22*x^4+6*x^3+45*x^2+49*x+51', 'y^2=48*x^6+26*x^5+18*x^4+38*x^3+18*x^2+26*x+48', 'y^2=35*x^6+2*x^5+6*x^4+4*x^3+3*x^2+53*x+3', 'y^2=50*x^6+9*x^5+8*x^4+46*x^3+8*x^2+9*x+50', 'y^2=x^6+38*x^5+9*x^4+6*x^3+9*x^2+6*x+41', 'y^2=20*x^6+37*x^5+27*x^3+37*x+20', 'y^2=4*x^6+28*x^5+6*x^4+17*x^3+58*x^2+26*x+50', 'y^2=12*x^6+53*x^5+19*x^4+14*x^3+39*x^2+22*x+10', 'y^2=51*x^6+41*x^5+4*x^4+5*x^3+55*x^2+x+56', 'y^2=12*x^6+34*x^5+33*x^4+47*x^3+33*x^2+34*x+12', 'y^2=19*x^6+23*x^5+4*x^4+3*x^3+4*x^2+23*x+19', 'y^2=28*x^6+11*x^5+27*x^4+4*x^3+27*x^2+11*x+28', 'y^2=54*x^6+7*x^5+27*x^4+x^3+52*x^2+20*x+14', 'y^2=26*x^6+21*x^5+7*x^4+44*x^3+46*x^2+16*x+44', 'y^2=3*x^6+53*x^5+14*x^4+30*x^3+32*x^2+33*x+21', 'y^2=8*x^6+42*x^5+27*x^4+51*x^3+30*x^2+23*x+28', 'y^2=18*x^6+26*x^5+58*x^4+11*x^3+29*x^2+15*x+41', 'y^2=56*x^6+43*x^5+21*x^4+4*x^3+21*x^2+43*x+56', 'y^2=3*x^6+36*x^5+7*x^4+25*x^3+7*x^2+36*x+3', 'y^2=52*x^6+44*x^5+15*x^4+35*x^3+24*x^2+6*x+32', 'y^2=10*x^6+52*x^5+52*x^4+47*x^3+50*x^2+33*x+33', 'y^2=43*x^6+23*x^5+47*x^4+48*x^3+47*x^2+23*x+43', 'y^2=31*x^6+50*x^5+37*x^4+10*x^3+37*x^2+50*x+31', 'y^2=5*x^6+2*x^5+44*x^4+9*x^3+26*x^2+35*x+27', 'y^2=48*x^6+29*x^5+55*x^4+46*x^3+55*x^2+29*x+48', 'y^2=35*x^6+20*x^5+53*x^4+57*x^3+53*x^2+20*x+35', 'y^2=17*x^6+20*x^5+16*x^4+24*x^3+16*x^2+20*x+17'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.227.1'], 'geometric_splitting_field': '2.0.227.1', 'geometric_splitting_polynomials': [[57, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 60, 'id': 41475, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 60, 'label': '2.59.g_ex', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3, 7], 'number_fields': ['2.0.227.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 6, 127, 354, 3481], 'poly_str': '1 6 127 354 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 6, 9], 'simple_distinct': ['1.59.d'], 'simple_factors': ['1.59.dA', '1.59.dB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.227.1', 'splitting_polynomials': [[57, -1, 1]], 'twist_count': 6, 'twists': [['2.59.ag_ex', '2.3481.ik_bbwt', 2], ['2.59.a_ef', '2.3481.ik_bbwt', 2], ['2.59.ad_aby', '2.205379.abmu_blvkg', 3], ['2.59.a_aef', '2.12117361.aook_ebznxr', 4], ['2.59.d_aby', '2.42180533641.rvtc_noqblyfm', 6]]}