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av_fq_isog • Show schema
{'abvar_count': 22792, 'abvar_counts': [22792, 884329600, 26799941496328, 802366253860864000, 24013832366865170070472, 718709211891008664601475200, 21510248847137557929528484527688, 643780249628334982866154613145600000, 19267699136803332855078348111026017545352, 576662967576536666818134472099765715706448000], 'abvar_counts_str': '22792 884329600 26799941496328 802366253860864000 24013832366865170070472 718709211891008664601475200 21510248847137557929528484527688 643780249628334982866154613145600000 19267699136803332855078348111026017545352 576662967576536666818134472099765715706448000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0485897903475289, 0.225058830207404], 'center_dim': 4, 'curve_count': 128, 'curve_counts': [128, 29546, 5176016, 895752942, 154964050288, 26808751715834, 4637914228914976, 802359176411562718, 138808137848265316448, 24013807852378475042186], 'curve_counts_str': '128 29546 5176016 895752942 154964050288 26808751715834 4637914228914976 802359176411562718 138808137848265316448 24013807852378475042186 ', 'curves': ['y^2=168*x^6+54*x^5+120*x^4+108*x^3+25*x^2+19*x+166', 'y^2=97*x^6+60*x^5+69*x^4+107*x^3+38*x^2+61*x+76', 'y^2=131*x^6+15*x^5+68*x^4+46*x^3+68*x^2+15*x+131', 'y^2=99*x^6+153*x^5+139*x^4+15*x^3+118*x^2+56*x+41', 'y^2=102*x^6+22*x^5+70*x^4+7*x^3+70*x^2+22*x+102', 'y^2=6*x^6+136*x^5+134*x^4+69*x^3+110*x^2+163*x+169', 'y^2=82*x^6+99*x^5+120*x^4+58*x^3+14*x^2+68*x+108', 'y^2=116*x^6+103*x^5+90*x^4+58*x^3+135*x^2+40*x+80', 'y^2=x^6+78*x^5+124*x^4+48*x^3+47*x^2+148*x+16', 'y^2=127*x^6+31*x^5+118*x^4+126*x^3+80*x^2+29*x+98', 'y^2=131*x^6+9*x^5+14*x^4+61*x^3+121*x^2+124*x+142', 'y^2=6*x^6+22*x^5+106*x^4+83*x^3+107*x^2+102*x+93', 'y^2=42*x^6+82*x^5+120*x^4+63*x^3+70*x^2+32*x+128', 'y^2=66*x^6+15*x^5+68*x^4+88*x^2+59*x+152', 'y^2=99*x^6+142*x^5+94*x^4+69*x^3+25*x^2+81*x+77', 'y^2=110*x^6+66*x^5+116*x^4+9*x^3+55*x^2+78*x+19', 'y^2=44*x^6+122*x^5+165*x^4+97*x^3+114*x^2+31*x+113', 'y^2=124*x^6+153*x^5+111*x^4+49*x^3+51*x^2+83*x+142', 'y^2=29*x^6+157*x^5+24*x^4+74*x^3+49*x^2+55*x+142', 'y^2=104*x^6+126*x^5+171*x^4+76*x^3+118*x^2+34*x+96', 'y^2=92*x^6+14*x^5+152*x^4+24*x^3+8*x^2+161*x+170', 'y^2=71*x^6+61*x^5+133*x^4+115*x^3+133*x^2+61*x+71', 'y^2=36*x^6+149*x^5+9*x^4+53*x^3+168*x^2+143*x+2', 'y^2=95*x^6+101*x^5+83*x^4+4*x^3+131*x^2+124*x+50', 'y^2=145*x^6+31*x^5+55*x^4+105*x^3+24*x^2+89*x+171', 'y^2=77*x^6+100*x^5+104*x^4+88*x^3+51*x^2+141*x+105', 'y^2=92*x^6+59*x^5+56*x^4+60*x^3+157*x^2+74*x+97', 'y^2=66*x^6+29*x^5+155*x^4+31*x^3+152*x^2+85*x+146', 'y^2=132*x^6+103*x^5+21*x^4+169*x^3+83*x^2+123*x+9', 'y^2=12*x^6+111*x^5+47*x^4+36*x^3+17*x^2+25*x+26', 'y^2=105*x^6+115*x^5+29*x^4+5*x^3+153*x^2+172*x+156', 'y^2=88*x^6+45*x^5+132*x^4+22*x^3+43*x^2+164*x+101', 'y^2=135*x^6+88*x^5+90*x^4+73*x^3+160*x^2+56*x+137', 'y^2=78*x^6+59*x^5+63*x^4+26*x^3+114*x^2+118*x+30', 'y^2=143*x^6+54*x^5+146*x^4+45*x^3+74*x^2+34*x+155', 'y^2=77*x^6+11*x^5+52*x^4+73*x^3+52*x^2+11*x+77'], '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, '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': ['2.0.4.1', '2.0.292.1'], 'geometric_splitting_field': '4.0.85264.1', 'geometric_splitting_polynomials': [[324, 0, 37, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 36, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 36, 'label': '2.173.abu_bhi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.4.1', '2.0.292.1'], 'p': 173, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 866, -7958, 29929], 'poly_str': '1 -46 866 -7958 29929 ', 'primitive_models': [], 'q': 173, 'real_poly': [1, -46, 520], 'simple_distinct': ['1.173.aba', '1.173.au'], 'simple_factors': ['1.173.abaA', '1.173.auA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.85264.1', 'splitting_polynomials': [[324, 0, 37, 0, 1]], 'twist_count': 8, 'twists': [['2.173.ag_ags', '2.29929.aou_ekxq', 2], ['2.173.g_ags', '2.29929.aou_ekxq', 2], ['2.173.bu_bhi', '2.29929.aou_ekxq', 2], ['2.173.ay_qk', '2.895745041.lrw_adggqbfu', 4], ['2.173.aq_kg', '2.895745041.lrw_adggqbfu', 4], ['2.173.q_kg', '2.895745041.lrw_adggqbfu', 4], ['2.173.y_qk', '2.895745041.lrw_adggqbfu', 4]]} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.173.aba', 'galois_group': '2T1', 'places': [['80', '1'], ['93', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.292.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.173.au', 'galois_group': '2T1', 'places': [['163', '1'], ['10', '1']]}
Abelian variety isogeny class data - 2.173.abu_bhi