Formats: - HTML - YAML - JSON - 2026-09-21T18:49:53.424772
Query: /api/av_fq_isog/?_offset=0
Show schema

{'abvar_count': 4536, 'abvar_counts': [4536, 38719296, 243333738144, 1517068635312384, 9467999539115200776, 59091334852878242804736, 368790180719560703730395496, 2301619324080620425953954161664, 14364405205874686466501482841003424, 89648252031637375717463748115801402176], 'abvar_counts_str': '4536 38719296 243333738144 1517068635312384 9467999539115200776 59091334852878242804736 368790180719560703730395496 2301619324080620425953954161664 14364405205874686466501482841003424 89648252031637375717463748115801402176 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0944227114287621, 0.351411445414278], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 55, 'curve_counts': [55, 6205, 493540, 38949049, 3076966525, 243086730766, 19203912129835, 1517108930520529, 119851597203243820, 9468276088413938725], 'curve_counts_str': '55 6205 493540 38949049 3076966525 243086730766 19203912129835 1517108930520529 119851597203243820 9468276088413938725 ', 'curves': ['y^2=61*x^5+20*x^4+56*x^3+70*x^2+62*x+43', 'y^2=21*x^6+5*x^5+58*x^4+37*x^3+10*x^2+64*x+71', 'y^2=66*x^6+55*x^5+3*x^3+64*x^2+49*x+15', 'y^2=17*x^6+18*x^5+48*x^4+30*x^3+17*x^2+37*x+69', 'y^2=22*x^6+66*x^5+12*x^4+23*x^3+54*x^2+71*x+61', 'y^2=25*x^6+48*x^5+43*x^4+28*x^3+24*x^2+21*x+55', 'y^2=60*x^6+55*x^5+47*x^4+8*x^3+68*x^2+55*x+60', 'y^2=54*x^6+74*x^5+6*x^4+67*x^3+35*x^2+31*x+55', 'y^2=38*x^6+68*x^5+x^4+32*x^3+16*x^2+8*x+71', 'y^2=56*x^6+15*x^5+57*x^4+12*x^3+33*x^2+36*x+75', 'y^2=75*x^6+37*x^5+19*x^4+23*x^3+41*x^2+73*x+53', 'y^2=28*x^6+32*x^5+33*x^4+11*x^3+28*x^2+41*x+74', 'y^2=51*x^6+27*x^5+75*x^4+47*x^3+11*x^2+4*x+33', 'y^2=15*x^6+31*x^5+60*x^4+68*x^3+14*x^2+72*x+6', 'y^2=6*x^6+76*x^5+77*x^4+43*x^3+59*x^2+58*x+56', 'y^2=69*x^6+62*x^4+50*x^3+69*x^2+64*x+53', 'y^2=22*x^6+44*x^5+78*x^4+2*x^3+70*x^2+9*x', 'y^2=71*x^6+65*x^5+x^4+12*x^3+10*x^2+72*x+33', 'y^2=x^6+76*x^5+26*x^4+47*x^3+47*x^2+13*x+13', 'y^2=3*x^6+42*x^5+23*x^3+56*x^2+15*x+68', 'y^2=7*x^6+10*x^5+14*x^4+12*x^3+72*x^2+42*x+58', 'y^2=28*x^6+21*x^5+68*x^4+53*x^3+57*x^2+11*x+59', 'y^2=39*x^6+60*x^5+77*x^4+48*x^3+70*x^2+65*x+55', 'y^2=25*x^6+75*x^5+36*x^4+15*x^3+18*x^2+59*x+77', 'y^2=64*x^6+54*x^5+37*x^4+21*x^3+42*x^2+x+61', 'y^2=13*x^6+9*x^5+31*x^4+51*x^3+34*x^2+3*x+15', 'y^2=71*x^6+47*x^5+25*x^4+46*x^3+60*x^2+50*x+78', 'y^2=12*x^6+48*x^5+70*x^4+35*x^3+68*x^2+68*x+43', 'y^2=48*x^6+x^5+72*x^4+77*x^3+55*x^2+11*x+72', 'y^2=54*x^6+76*x^5+75*x^4+13*x^3+11*x^2+46*x+76', 'y^2=12*x^6+68*x^5+52*x^4+49*x^3+3*x^2+40*x+72', 'y^2=27*x^6+54*x^5+60*x^4+62*x^3+73*x^2+40*x+70', 'y^2=57*x^6+74*x^5+4*x^4+21*x^3+34*x^2+19*x+28', 'y^2=16*x^6+53*x^5+28*x^4+47*x^3+64*x^2+4*x+59', 'y^2=30*x^6+73*x^5+30*x^4+27*x^3+40*x^2+23*x+47', 'y^2=5*x^6+65*x^5+70*x^4+14*x^3+43*x^2+26*x+77', 'y^2=15*x^6+7*x^5+69*x^4+26*x^3+x^2+39*x+1', 'y^2=23*x^6+42*x^5+74*x^4+63*x^3+71*x^2+76*x+69', 'y^2=6*x^6+65*x^5+x^4+15*x^3+32*x^2+15*x+11', 'y^2=68*x^6+59*x^5+51*x^4+26*x^3+22*x^2+9*x+24', 'y^2=52*x^5+44*x^4+15*x^3+29*x^2+3*x+54', 'y^2=69*x^6+78*x^5+11*x^4+25*x^3+2*x^2+60*x+35', 'y^2=78*x^6+24*x^5+6*x^4+40*x^3+55*x^2+55*x+51', 'y^2=17*x^6+35*x^5+38*x^4+47*x^3+38*x^2+5*x+70', 'y^2=9*x^6+37*x^5+46*x^4+54*x^3+52*x^2+47*x+20', 'y^2=6*x^6+17*x^5+76*x^4+11*x^3+48*x^2+20*x+58', 'y^2=45*x^6+73*x^5+31*x^4+8*x^3+52*x^2+35*x+62', 'y^2=34*x^6+13*x^5+49*x^4+78*x^3+29*x^2+62*x+33', 'y^2=72*x^6+75*x^5+4*x^4+61*x^3+17*x^2+34*x+8', 'y^2=58*x^6+5*x^5+14*x^4+60*x^3+50*x^2+45*x+47', 'y^2=37*x^6+30*x^5+38*x^4+53*x^3+62*x^2+64*x+21', 'y^2=58*x^6+31*x^5+45*x^4+4*x^3+76*x^2+3*x+57', 'y^2=36*x^6+28*x^5+3*x^4+10*x^3+2*x^2+47*x+60', 'y^2=6*x^6+28*x^5+18*x^4+63*x^3+35*x^2+58*x+56', 'y^2=49*x^6+62*x^5+12*x^4+28*x^2+35*x+27', 'y^2=43*x^6+36*x^5+63*x^4+62*x^3+31*x^2+31*x+49'], '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': 24, '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': ['2.0.3.1', '2.0.7.1'], 'geometric_splitting_field': '4.0.441.1', 'geometric_splitting_polynomials': [[4, -2, -1, -1, 1]], 'group_structure_count': 10, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, 'id': 69950, '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': 56, 'label': '2.79.az_li', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.3.1', '2.0.7.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -25, 294, -1975, 6241], 'poly_str': '1 -25 294 -1975 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, -25, 136], 'simple_distinct': ['1.79.ar', '1.79.ai'], 'simple_factors': ['1.79.arA', '1.79.aiA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,8*F-11', '2,-5*F-3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 12, 'twists': [['2.79.aj_w', '2.6241.abl_gm', 2], ['2.79.j_w', '2.6241.abl_gm', 2], ['2.79.z_li', '2.6241.abl_gm', 2], ['2.79.ae_ew', '2.493039.tg_anndy', 3], ['2.79.f_cc', '2.493039.tg_anndy', 3], ['2.79.av_kc', '2.243087455521.abpgdg_bkwfgpafm', 6], ['2.79.am_hi', '2.243087455521.abpgdg_bkwfgpafm', 6], ['2.79.af_cc', '2.243087455521.abpgdg_bkwfgpafm', 6], ['2.79.e_ew', '2.243087455521.abpgdg_bkwfgpafm', 6], ['2.79.m_hi', '2.243087455521.abpgdg_bkwfgpafm', 6], ['2.79.v_kc', '2.243087455521.abpgdg_bkwfgpafm', 6]], 'weak_equivalence_count': 40, 'zfv_index': 1458, 'zfv_index_factorization': [[2, 1], [3, 6]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6804, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,8*F-11', '2,-5*F-3']}