Query:
/api/av_fq_isog/?_offset=0
{'abvar_count': 3600, 'abvar_counts': [3600, 20793600, 91119459600, 406232087040000, 1822727617106490000, 8182610411198994950400, 36732200151762564618963600, 164890977981241981029949440000, 740195531683807032766551690723600, 3322737665476204444432706950273440000], 'abvar_counts_str': '3600 20793600 91119459600 406232087040000 1822727617106490000 8182610411198994950400 36732200151762564618963600 164890977981241981029949440000 740195531683807032766551690723600 3322737665476204444432706950273440000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.337479373806535, 0.337479373806535], 'center_dim': 2, 'curve_count': 52, 'curve_counts': [52, 4630, 302956, 20159278, 1350043492, 90457182790, 6060707478556, 406067724900958, 27206535051542932, 1822837806621676150], 'curve_counts_str': '52 4630 302956 20159278 1350043492 90457182790 6060707478556 406067724900958 27206535051542932 1822837806621676150 ', 'curves': ['y^2=54*x^6+10*x^5+x^4+28*x^3+26*x^2+60*x+49', 'y^2=3*x^6+39*x^5+54*x^4+41*x^3+54*x^2+39*x+3', 'y^2=3*x^6+35*x^5+66*x^4+35*x^3+10*x^2+9*x+27', 'y^2=25*x^6+65*x^5+x^4+54*x^3+x^2+65*x+25', 'y^2=39*x^6+24*x^5+58*x^4+57*x^3+46*x^2+19*x+19', 'y^2=32*x^6+30*x^5+66*x^4+27*x^3+24*x^2+11*x+15', 'y^2=51*x^6+54*x^5+19*x^4+28*x^3+19*x^2+54*x+51', 'y^2=43*x^6+2*x^5+61*x^4+22*x^3+61*x^2+2*x+43', 'y^2=27*x^6+9*x^5+36*x^4+66*x^3+53*x^2+5*x+53', 'y^2=50*x^6+29*x^5+63*x^4+38*x^3+63*x^2+29*x+50', 'y^2=24*x^6+51*x^5+18*x^4+14*x^3+18*x^2+51*x+24', 'y^2=49*x^6+x^5+15*x^4+8*x^3+60*x^2+16*x+54', 'y^2=66*x^6+47*x^5+3*x^4+64*x^3+8*x^2+29*x+25', 'y^2=5*x^6+5*x^5+61*x^4+56*x^3+61*x^2+5*x+5', 'y^2=4*x^6+5*x^5+11*x^4+3*x^3+14*x^2+34*x+38', 'y^2=4*x^6+24*x^5+14*x^4+x^3+14*x^2+24*x+4', 'y^2=46*x^6+61*x^5+23*x^4+27*x^3+14*x^2+34*x+20', 'y^2=54*x^6+23*x^5+7*x^4+11*x^3+17*x^2+66*x+63', 'y^2=x^6+56*x^3+9', 'y^2=16*x^6+63*x^5+5*x^4+53*x^3+5*x^2+63*x+16', 'y^2=46*x^6+37*x^5+3*x^4+23*x^3+3*x^2+37*x+46', 'y^2=41*x^6+5*x^5+4*x^4+13*x^3+54*x^2+21*x+53', 'y^2=66*x^6+59*x^5+53*x^4+9*x^3+20*x^2+33*x+2', 'y^2=62*x^6+37*x^5+35*x^4+32*x^3+23*x^2+4*x+40', 'y^2=2*x^6+40*x^5+24*x^4+41*x^3+27*x^2+52*x+65', 'y^2=59*x^6+48*x^4+48*x^2+59', 'y^2=59*x^6+39*x^5+8*x^4+53*x^3+8*x^2+39*x+59', 'y^2=38*x^6+25*x^5+50*x^4+19*x^3+3*x^2+49*x+63', 'y^2=43*x^6+31*x^5+33*x^4+66*x^3+14*x^2+23*x+4', 'y^2=48*x^6+16*x^5+7*x^4+25*x^3+12*x^2+27*x+6', 'y^2=8*x^6+35*x^4+35*x^2+8', 'y^2=2*x^6+43*x^5+48*x^4+65*x^3+13*x^2+29*x+14', 'y^2=x^6+38*x^5+5*x^4+26*x^3+5*x^2+38*x+1', 'y^2=x^6+33*x^5+34*x^4+59*x^3+36*x^2+29*x+41', 'y^2=44*x^6+27*x^5+27*x^4+44*x^2+32*x+28', 'y^2=49*x^6+39*x^4+39*x^2+49', 'y^2=13*x^6+61*x^5+35*x^4+38*x^3+54*x^2+65*x+53', 'y^2=2*x^6+31*x^5+41*x^4+34*x^3+x^2+41*x+2', 'y^2=66*x^6+62*x^5+40*x^4+14*x^3+12*x^2+65*x+23', 'y^2=58*x^6+34*x^5+45*x^4+49*x^3+47*x^2+56*x+54', 'y^2=45*x^6+37*x^5+5*x^4+3*x^3+34*x^2+2*x+45', 'y^2=21*x^6+40*x^5+51*x^4+38*x^3+10*x^2+52*x+61', 'y^2=36*x^6+25*x^5+18*x^4+66*x^3+63*x^2+55*x+36', 'y^2=32*x^6+49*x^5+41*x^4+42*x^3+41*x^2+49*x+32', 'y^2=58*x^6+61*x^4+61*x^2+58', 'y^2=64*x^6+13*x^5+6*x^4+26*x^3+47*x^2+53*x+48', 'y^2=9*x^6+30*x^4+30*x^2+9', 'y^2=x^6+x^3+64', 'y^2=16*x^6+62*x^5+7*x^4+19*x^3+58*x^2+56*x+16', 'y^2=32*x^6+22*x^5+14*x^4+57*x^3+49*x^2+35*x+32', 'y^2=57*x^6+29*x^5+43*x^4+50*x^3+49*x^2+52*x+47', 'y^2=x^6+51*x^5+66*x^4+54*x^3+66*x^2+51*x+1', 'y^2=53*x^6+49*x^5+54*x^4+9*x^3+11*x^2+37*x+32', 'y^2=14*x^6+41*x^5+66*x^4+9*x^3+12*x^2+57*x+30', 'y^2=55*x^6+59*x^5+8*x^4+33*x^3+8*x^2+59*x+55', 'y^2=44*x^6+34*x^5+47*x^4+41*x^3+15*x^2+11*x+19', 'y^2=26*x^6+6*x^5+13*x^4+29*x^3+49*x^2+66*x+41', 'y^2=x^6+16*x^3+9', 'y^2=8*x^6+62*x^5+37*x^4+59*x^3+62*x^2+65*x+5', 'y^2=63*x^6+11*x^5+66*x^4+17*x^3+3*x^2+32*x+41', 'y^2=6*x^6+58*x^5+39*x^4+48*x^3+39*x^2+58*x+6', 'y^2=29*x^6+27*x^5+58*x^4+57*x^3+63*x^2+49*x+48', 'y^2=31*x^5+14*x^4+54*x^3+14*x^2+31*x', 'y^2=8*x^6+43*x^4+43*x^2+8', 'y^2=10*x^6+12*x^5+45*x^4+3*x^3+57*x^2+11*x+29', 'y^2=52*x^6+30*x^5+6*x^4+8*x^3+31*x^2+16*x+60', 'y^2=x^6+36*x^3+24', 'y^2=2*x^6+47*x^5+58*x^4+64*x^3+13*x^2+52*x+39', 'y^2=x^6+60*x^5+25*x^4+65*x^3+26*x^2+8*x+24', 'y^2=65*x^6+8*x^5+36*x^4+36*x^3+65*x^2+48*x+23', 'y^2=25*x^6+45*x^5+21*x^4+11*x^3+21*x^2+45*x+25', 'y^2=34*x^6+42*x^5+43*x^4+45*x^3+36*x^2+22*x+34', 'y^2=39*x^6+16*x^5+26*x^4+2*x^3+56*x^2+10*x+19', 'y^2=28*x^6+33*x^5+24*x^4+21*x^3+24*x^2+33*x+28', 'y^2=26*x^6+8*x^5+8*x^4+11*x^3+22*x^2+44*x+57', 'y^2=13*x^6+2*x^5+22*x^4+45*x^3+59*x^2+13*x+18'], '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': ['2.0.51.1'], 'geometric_splitting_field': '2.0.51.1', 'geometric_splitting_polynomials': [[13, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 76, 'id': 51318, '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': 76, 'label': '2.67.aq_hq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3, 5], 'number_fields': ['2.0.51.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -16, 198, -1072, 4489], 'poly_str': '1 -16 198 -1072 4489 ', 'primitive_models': [], 'q': 67, 'real_poly': [1, -16, 64], 'simple_distinct': ['1.67.ai'], 'simple_factors': ['1.67.aiA', '1.67.aiB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.51.1', 'splitting_polynomials': [[13, -1, 1]], 'twist_count': 6, 'twists': [['2.67.a_cs', '2.4489.fk_unu', 2], ['2.67.q_hq', '2.4489.fk_unu', 2], ['2.67.i_ad', '2.300763.dgi_dyoug', 3], ['2.67.a_acs', '2.20151121.mbs_eupfkw', 4], ['2.67.ai_ad', '2.90458382169.acqgga_cphvdqkpy', 6]]}