Formats: - HTML - YAML - JSON - 2026-09-22T14:48:03.321353
Query: /api/av_fq_isog/?_offset=0
Show schema

{'abvar_count': 12296, 'abvar_counts': [12296, 88531200, 831857463944, 7837773373440000, 73743002350156491656, 693842360994935658604800, 6528361046678270858729531144, 61425368063974550039303946240000, 577951260693047062233134846058148616, 5437943429267472574571801272277362080000], 'abvar_counts_str': '12296 88531200 831857463944 7837773373440000 73743002350156491656 693842360994935658604800 6528361046678270858729531144 61425368063974550039303946240000 577951260693047062233134846058148616 5437943429267472574571801272277362080000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.633124938747657, 0.866875061252343], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 124, 'curve_counts': [124, 9410, 911452, 88533118, 8587408924, 832972004930, 80798263092412, 7837433941136638, 760231056221102524, 73742412689492826050], 'curve_counts_str': '124 9410 911452 88533118 8587408924 832972004930 80798263092412 7837433941136638 760231056221102524 73742412689492826050 ', 'curves': ['y^2=12*x^6+15*x^5+50*x^4+30*x^3+80*x^2+54*x+65', 'y^2=50*x^6+36*x^5+57*x^4+73*x^3+61*x^2+82*x+2', 'y^2=82*x^5+26*x^4+88*x^3+2*x^2+22*x+69', 'y^2=12*x^6+69*x^5+76*x^4+36*x^3+76*x^2+69*x+12', 'y^2=55*x^6+89*x^5+40*x^4+23*x^3+57*x^2+88*x+47', 'y^2=52*x^6+27*x^5+93*x^4+12*x^3+35*x^2+21*x+29', 'y^2=70*x^6+40*x^5+4*x^4+19*x^3+59*x^2+41*x+32', 'y^2=40*x^6+2*x^5+55*x^4+7*x^3+22*x^2+62*x+18', 'y^2=74*x^6+93*x^5+54*x^4+67*x^3+14*x^2+2*x+9', 'y^2=36*x^6+19*x^5+21*x^4+9*x^3+21*x^2+19*x+36', 'y^2=73*x^6+29*x^5+45*x^4+18*x^3+6*x^2+67*x+54', 'y^2=28*x^6+41*x^5+36*x^4+64*x^3+35*x^2+77*x+69', 'y^2=48*x^6+37*x^5+42*x^4+95*x^3+73*x^2+35*x+93', 'y^2=80*x^6+60*x^5+4*x^4+14*x^3+94*x^2+90*x+22', 'y^2=77*x^6+59*x^5+51*x^4+25*x^3+59*x^2+43*x+58', 'y^2=32*x^6+82*x^5+82*x^4+13*x^3+94*x^2+77*x+57', 'y^2=94*x^6+83*x^5+81*x^4+17*x^3+45*x^2+9*x+95', 'y^2=57*x^6+45*x^5+25*x^4+53*x^3+94*x^2+13*x+9', 'y^2=23*x^6+18*x^5+3*x^4+40*x^3+47*x^2+x+29', 'y^2=17*x^6+35*x^5+38*x^4+94*x^3+33*x^2+18*x+43', 'y^2=35*x^6+69*x^5+12*x^4+31*x^3+78*x^2+18*x+69', 'y^2=93*x^6+94*x^5+51*x^4+21*x^3+68*x^2+27*x+48', 'y^2=15*x^6+51*x^5+15*x^4+34*x^2+15*x+10', 'y^2=95*x^6+11*x^5+92*x^4+74*x^3+58*x^2+85*x+44', 'y^2=23*x^6+30*x^5+28*x^4+90*x^3+63*x^2+10*x+43', 'y^2=61*x^6+11*x^5+47*x^4+52*x^3+47*x^2+8*x+15', 'y^2=11*x^6+75*x^5+92*x^4+17*x^3+14*x^2+6*x+86', 'y^2=89*x^6+79*x^5+58*x^4+70*x^3+58*x^2+79*x+89', 'y^2=17*x^6+87*x^5+83*x^4+9*x^3+5*x^2+30*x+35', 'y^2=58*x^6+26*x^5+32*x^4+31*x^3+62*x^2+94*x', 'y^2=53*x^6+54*x^5+95*x^4+15*x^3+11*x^2+33*x+94', 'y^2=x^6+32*x^5+47*x^4+81*x^3+4*x^2+89*x+31', 'y^2=52*x^6+51*x^5+22*x^4+35*x^3+6*x^2+7*x+45', 'y^2=50*x^6+13*x^5+78*x^4+30*x^3+34*x^2+7*x+85', 'y^2=9*x^6+x^5+94*x^4+14*x^3+55*x^2+68*x+18', 'y^2=82*x^6+2*x^5+94*x^4+41*x^3+30*x^2+72*x+36', 'y^2=90*x^6+47*x^5+76*x^4+7*x^3+3*x^2+58*x+13', 'y^2=61*x^6+54*x^5+18*x^4+3*x^3+77*x^2+53*x+94', 'y^2=90*x^6+94*x^5+25*x^4+40*x^3+28*x^2+9*x+39', 'y^2=5*x^6+23*x^5+16*x^4+32*x^3+56*x^2+72*x+59', 'y^2=33*x^6+80*x^5+19*x^4+27*x^3+63*x^2+90*x+47', 'y^2=18*x^6+96*x^5+96*x^4+25*x^3+77*x^2+22*x+96', 'y^2=57*x^6+37*x^5+35*x^4+42*x^3+45*x^2+9*x+54', 'y^2=35*x^6+63*x^5+14*x^4+46*x^3+48*x^2+14*x+69', 'y^2=85*x^6+x^5+65*x^4+87*x^3+55*x^2+58*x+45', 'y^2=94*x^6+87*x^5+72*x^4+24*x^3+82*x^2+18*x+25', 'y^2=91*x^6+51*x^5+93*x^4+28*x^3+75*x^2+47*x+88', 'y^2=51*x^6+67*x^5+59*x^4+24*x^3+45*x^2+90*x+5', 'y^2=42*x^6+4*x^5+58*x^4+84*x^3+92*x^2+31*x+25', 'y^2=25*x^6+70*x^5+53*x^4+94*x^3+16*x^2+21*x+47', 'y^2=22*x^6+51*x^5+59*x^4+83*x^3+20*x^2+80*x', 'y^2=46*x^6+63*x^5+31*x^4+90*x^3+70*x^2+67*x+82', 'y^2=5*x^6+75*x^5+73*x^4+54*x^3+53*x^2+13*x+5', 'y^2=81*x^6+75*x^5+10*x^4+29*x^3+72*x^2+35*x+18', 'y^2=73*x^6+90*x^5+77*x^4+59*x^3+87*x^2+13*x+95', 'y^2=91*x^6+43*x^5+10*x^4+12*x^3+x^2+87*x+56', 'y^2=64*x^6+8*x^5+11*x^4+11*x^2+89*x+64', 'y^2=86*x^6+42*x^5+41*x^4+78*x^3+38*x^2+6*x+9', 'y^2=67*x^6+68*x^5+44*x^4+47*x^3+70*x^2+35*x+95', 'y^2=65*x^6+81*x^5+10*x^4+8*x^3+10*x^2+81*x+65', 'y^2=35*x^6+51*x^5+23*x^4+86*x^3+16*x^2+16*x+4', 'y^2=51*x^6+88*x^5+68*x^4+66*x^3+37*x^2+38*x+30', 'y^2=9*x^6+62*x^5+36*x^4+70*x^3+65*x^2+75*x+69', 'y^2=11*x^6+17*x^5+36*x^4+62*x^3+14*x^2+36*x+84', 'y^2=87*x^6+89*x^5+67*x^4+25*x^3+57*x^2+36*x+68', 'y^2=78*x^6+51*x^5+x^4+34*x^3+4*x^2+83*x+31', 'y^2=3*x^6+13*x^5+39*x^4+13*x^3+75*x^2+32*x+89', 'y^2=91*x^6+22*x^5+93*x^4+x^3+55*x^2+27*x+75', 'y^2=94*x^6+58*x^5+2*x^4+48*x^3+79*x^2+42*x+53', 'y^2=6*x^6+48*x^5+96*x^4+69*x^3+30*x^2+54*x+6', 'y^2=36*x^6+4*x^5+84*x^4+93*x^3+60*x^2+6*x+94', 'y^2=77*x^5+4*x^4+68*x^3+46*x^2+43*x+88', 'y^2=27*x^6+x^5+2*x^4+81*x^3+12*x^2+36*x+12', 'y^2=85*x^6+20*x^5+60*x^4+63*x^3+x^2+6*x+33', 'y^2=23*x^6+6*x^5+28*x^4+58*x^3+64*x^2+27*x+73', 'y^2=93*x^6+72*x^5+19*x^4+85*x^3+93*x^2+86*x+38', 'y^2=27*x^6+55*x^5+80*x^4+38*x^3+28*x^2+32*x+63', 'y^2=49*x^6+56*x^5+55*x^4+39*x^3+19*x^2+87*x+79', 'y^2=48*x^6+12*x^5+86*x^4+25*x^3+76*x^2+61*x+60', 'y^2=36*x^5+8*x^4+38*x^3+8*x^2+36*x', 'y^2=94*x^6+49*x^5+62*x^4+20*x^3+11*x^2+56*x+24', 'y^2=9*x^6+13*x^5+7*x^4+70*x^3+64*x^2+79*x+40', 'y^2=84*x^6+60*x^5+36*x^4+96*x^3+36*x^2+60*x+84', 'y^2=15*x^6+74*x^5+57*x^4+91*x^3+57*x^2+74*x+15', 'y^2=20*x^6+85*x^5+78*x^4+14*x^3+43*x^2+47*x+89', 'y^2=37*x^6+66*x^5+64*x^4+22*x^3+60*x^2+43*x+28', 'y^2=94*x^6+13*x^5+71*x^4+35*x^3+65*x^2+69*x+54', 'y^2=73*x^6+91*x^5+4*x^4+80*x^3+49*x^2+69*x+86', 'y^2=8*x^6+47*x^5+23*x^4+85*x^3+83*x^2+96*x+81', 'y^2=22*x^6+46*x^5+38*x^4+62*x^3+32*x^2+67*x+66', 'y^2=23*x^6+73*x^5+42*x^4+19*x^3+91*x^2+23*x+74', 'y^2=61*x^6+82*x^5+58*x^4+10*x^3+80*x+62', 'y^2=15*x^6+19*x^5+30*x^4+96*x^3+89*x^2+23*x+17', 'y^2=51*x^6+46*x^5+77*x^4+45*x^3+6*x^2+93*x+81', 'y^2=19*x^6+70*x^5+86*x^4+90*x^3+48*x^2+27*x+30', 'y^2=32*x^6+41*x^5+34*x^4+41*x^3+56*x^2+96*x+91', 'y^2=88*x^6+57*x^5+20*x^4+23*x^3+66*x^2+29*x+81', 'y^2=44*x^6+13*x^5+89*x^4+28*x^3+42*x+7', 'y^2=56*x^6+37*x^5+63*x^4+24*x^3+85*x^2+92*x+76', 'y^2=38*x^6+67*x^5+33*x^4+45*x^3+52*x^2+60*x+26', 'y^2=50*x^6+26*x^5+86*x^4+78*x^3+19*x^2+8', 'y^2=72*x^6+37*x^5+24*x^4+81*x^3+31*x^2+7*x+91', 'y^2=25*x^6+18*x^4+75*x^3+53*x^2+11', 'y^2=62*x^6+18*x^5+17*x^4+26*x^3+79*x^2+82*x+17', 'y^2=35*x^6+32*x^5+74*x^4+69*x^3+74*x^2+20*x+27', 'y^2=6*x^6+68*x^5+37*x^4+15*x^3+50*x^2+31*x+61', 'y^2=83*x^6+86*x^5+17*x^4+6*x^3+90*x^2+9*x+24', 'y^2=33*x^6+43*x^5+45*x^4+26*x^3+77*x^2+34*x+11', 'y^2=11*x^6+44*x^5+15*x^4+92*x^3+37*x^2+57*x+90', 'y^2=50*x^6+37*x^5+36*x^4+95*x^3+65*x^2+46*x+70', 'y^2=46*x^6+83*x^5+31*x^4+88*x^3+35*x^2+41*x+20', 'y^2=49*x^5+50*x^4+77*x^3+31*x^2+9*x+27', 'y^2=62*x^6+51*x^5+16*x^4+79*x^3+49*x^2+12*x+77', 'y^2=17*x^6+79*x^5+77*x^4+27*x^3+52*x^2+18*x+83', 'y^2=41*x^6+68*x^5+41*x^4+11*x^3+51*x^2+81*x+71', 'y^2=51*x^6+64*x^5+79*x^4+3*x^3+96*x^2+96*x+77', 'y^2=9*x^6+88*x^5+34*x^4+33*x^3+88*x^2+45*x+5', 'y^2=61*x^6+90*x^5+70*x^4+18*x^3+20*x^2+36*x+42', 'y^2=45*x^6+95*x^5+89*x^4+69*x^3+65*x^2+65*x+67', 'y^2=50*x^6+56*x^5+29*x^4+89*x^3+22*x^2+41*x+86', 'y^2=61*x^6+84*x^5+15*x^4+59*x^3+59*x^2+52*x+96', 'y^2=6*x^6+32*x^5+30*x^4+23*x^3+86*x^2+75*x+42', 'y^2=84*x^6+10*x^5+9*x^4+28*x^3+47*x^2+70*x+18', 'y^2=87*x^6+90*x^5+62*x^4+85*x^3+7*x^2+42*x+65', 'y^2=60*x^6+25*x^5+88*x^4+91*x^3+83*x^2+68*x', 'y^2=50*x^6+88*x^5+49*x^4+31*x^3+89*x^2+77*x+7', 'y^2=68*x^6+54*x^5+7*x^4+76*x^3+75*x^2+86*x+83', 'y^2=50*x^6+59*x^5+6*x^4+80*x^3+63*x^2+8*x+14', 'y^2=67*x^6+86*x^5+94*x^4+87*x^3+20*x^2+38*x+29', 'y^2=2*x^6+31*x^5+18*x^4+33*x^3+93*x^2+51*x+20', 'y^2=3*x^6+2*x^5+45*x^4+38*x^3+45*x^2+2*x+3', 'y^2=88*x^6+41*x^5+41*x^4+74*x^3+65*x^2+18*x+96', 'y^2=33*x^6+39*x^5+7*x^3+50*x+69', 'y^2=58*x^6+40*x^5+58*x^4+93*x^3+87*x^2+37*x+79', 'y^2=62*x^6+52*x^5+95*x^4+26*x^3+8*x^2+66*x+73', 'y^2=53*x^5+61*x^4+90*x^3+43*x^2+35*x+49', 'y^2=77*x^6+79*x^5+52*x^4+54*x^3+2*x^2+9*x+50', 'y^2=72*x^6+4*x^5+80*x^4+95*x^3+28*x^2+78*x+13', 'y^2=29*x^6+32*x^5+36*x^4+81*x^3+67*x^2+20*x+28', 'y^2=90*x^6+32*x^5+33*x^4+66*x^3+51*x^2+57*x+34', 'y^2=9*x^6+72*x^5+35*x^4+26*x^3+43*x^2+43*x+95', 'y^2=53*x^6+6*x^5+x^4+81*x^3+4*x^2+96*x+94', 'y^2=5*x^6+61*x^5+72*x^4+24*x^3+14*x^2+94*x+18', 'y^2=32*x^6+17*x^5+24*x^4+82*x^3+79*x^2+64*x+66', 'y^2=23*x^6+x^5+14*x^4+80*x^3+41*x^2+16*x+80', 'y^2=66*x^6+19*x^5+11*x^4+52*x^3+10*x^2+93*x+4', 'y^2=87*x^6+29*x^5+25*x^4+66*x^3+41*x^2+32*x+36', 'y^2=28*x^6+41*x^5+16*x^4+95*x^3+81*x^2+45*x+74', 'y^2=35*x^6+9*x^5+67*x^4+48*x^3+60*x^2+36*x+11', 'y^2=8*x^6+72*x^5+34*x^4+13*x^3+78*x^2+34*x+60', 'y^2=89*x^6+48*x^5+44*x^4+43*x^3+64*x^2+27*x+64', 'y^2=73*x^6+22*x^5+36*x^4+42*x^3+61*x^2+22*x+24', 'y^2=87*x^6+17*x^5+9*x^4+65*x^3+56*x^2+13*x+75', 'y^2=6*x^6+72*x^5+x^4+43*x^3+81*x^2+2*x+62', 'y^2=42*x^6+69*x^5+7*x^4+28*x^3+28*x^2+56*x+20', 'y^2=95*x^6+15*x^5+12*x^4+12*x^3+80*x^2+2*x+75', 'y^2=82*x^6+63*x^5+10*x^4+45*x^3+34*x^2+57*x+75', 'y^2=3*x^6+50*x^5+34*x^4+19*x^3+34*x^2+50*x+3', 'y^2=58*x^6+26*x^4+60*x^3+13*x^2+80', 'y^2=16*x^6+76*x^5+25*x^4+48*x^3+3*x^2+16*x+61', 'y^2=33*x^6+11*x^5+29*x^4+7*x^3+82*x^2+53*x+85', 'y^2=56*x^6+6*x^5+18*x^4+34*x^2+36*x+33'], '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': 84, 'g': 2, 'galois_groups': ['2T1', '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 162, 'id': 110253, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 162, 'label': '2.97.ba_na', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 26, 338, 2522, 9409], 'poly_str': '1 26 338 2522 9409 ', 'primitive_models': [], 'q': 97, 'real_poly': [1, 26, 144], 'simple_distinct': ['1.97.i', '1.97.s'], 'simple_factors': ['1.97.iA', '1.97.sA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,V+15', '5,2*V-16', '5,6*F-V+11', '3,-14*F+13'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.97.aba_na', '2.9409.a_cvu', 2], ['2.97.ak_by', '2.9409.a_cvu', 2], ['2.97.k_by', '2.9409.a_cvu', 2], ['2.97.abk_ty', '2.88529281.fro_pfnewc', 4], ['2.97.aq_jy', '2.88529281.fro_pfnewc', 4], ['2.97.a_afa', '2.88529281.fro_pfnewc', 4], ['2.97.a_fa', '2.88529281.fro_pfnewc', 4], ['2.97.q_jy', '2.88529281.fro_pfnewc', 4], ['2.97.bk_ty', '2.88529281.fro_pfnewc', 4], ['2.97.a_afo', '2.7837433594376961.bdevecq_mlznbkelqgos', 8], ['2.97.a_fo', '2.7837433594376961.bdevecq_mlznbkelqgos', 8], ['2.97.as_it', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12], ['2.97.ai_abh', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12], ['2.97.i_abh', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12], ['2.97.s_it', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12]], 'weak_equivalence_count': 108, 'zfv_index': 3600, 'zfv_index_factorization': [[2, 4], [3, 2], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 20736, 'zfv_singular_count': 8, 'zfv_singular_primes': ['2,V+15', '5,2*V-16', '5,6*F-V+11', '3,-14*F+13']}