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av_fq_isog • Show schema
{'abvar_count': 4224, 'abvar_counts': [4224, 29094912, 152281793664, 806814478761984, 4297500417250026624, 22901836537720222258176, 122044925209482141022941312, 650377900100962479299257958400, 3465863766047141520870846428366976, 18469587792778913475560591501233738752], 'abvar_counts_str': '4224 29094912 152281793664 806814478761984 4297500417250026624 22901836537720222258176 122044925209482141022941312 650377900100962479299257958400 3465863766047141520870846428366976 18469587792778913475560591501233738752 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.301013746419758, 0.344915434243257], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 56, 'curve_counts': [56, 5458, 391448, 28410718, 2073011096, 151332828658, 11047390478264, 806460117044926, 58871587464116984, 4297625834507075218], 'curve_counts_str': '56 5458 391448 28410718 2073011096 151332828658 11047390478264 806460117044926 58871587464116984 4297625834507075218 ', 'curves': ['y^2=39*x^6+59*x^5+45*x^4+46*x^3+45*x^2+59*x+39', 'y^2=46*x^6+63*x^5+54*x^4+43*x^3+54*x^2+63*x+46', 'y^2=29*x^6+6*x^5+6*x^4+65*x^3+6*x^2+6*x+29', 'y^2=11*x^6+21*x^5+68*x^4+3*x^3+68*x^2+21*x+11', 'y^2=29*x^6+47*x^5+37*x^4+31*x^3+18*x^2+30*x+42', 'y^2=60*x^6+69*x^5+56*x^4+53*x^3+56*x^2+69*x+60', 'y^2=35*x^6+41*x^5+35*x^4+60*x^3+9*x^2+16*x+32', 'y^2=43*x^6+10*x^5+44*x^4+20*x^3+44*x^2+10*x+43', 'y^2=41*x^6+48*x^5+70*x^4+45*x^3+71*x^2+70*x+50', 'y^2=56*x^6+6*x^5+37*x^4+72*x^3+35*x^2+54*x+21', 'y^2=36*x^6+27*x^5+5*x^4+62*x^3+42*x^2+48*x+12', 'y^2=14*x^6+22*x^5+42*x^4+26*x^3+42*x^2+22*x+14', 'y^2=24*x^6+14*x^5+63*x^4+33*x^3+15*x^2+68*x+65', 'y^2=40*x^6+7*x^5+62*x^4+24*x^3+10*x^2+45*x+26', 'y^2=23*x^6+66*x^5+29*x^4+57*x^3+56*x^2+14*x+32', 'y^2=15*x^6+47*x^5+63*x^4+41*x^3+63*x^2+47*x+15', 'y^2=60*x^6+36*x^5+47*x^4+22*x^3+47*x^2+36*x+60', 'y^2=28*x^6+22*x^5+14*x^4+10*x^3+14*x^2+22*x+28', 'y^2=38*x^6+62*x^5+2*x^4+34*x^3+2*x^2+62*x+38', 'y^2=40*x^6+22*x^5+47*x^4+63*x^3+42*x^2+60*x+5', 'y^2=36*x^6+x^5+15*x^4+44*x^3+68*x^2+65*x+23', 'y^2=65*x^6+29*x^5+19*x^4+67*x^3+19*x^2+29*x+65', 'y^2=42*x^6+8*x^5+18*x^4+62*x^3+18*x^2+8*x+42', 'y^2=26*x^6+14*x^5+23*x^4+10*x^3+61*x^2+39*x+47', 'y^2=41*x^6+10*x^5+64*x^4+30*x^3+18*x^2+40*x+37', 'y^2=51*x^6+65*x^5+32*x^4+24*x^3+32*x^2+65*x+51', 'y^2=67*x^6+72*x^5+13*x^4+71*x^3+13*x^2+72*x+67', 'y^2=20*x^6+69*x^5+9*x^4+57*x^3+9*x^2+69*x+20', 'y^2=60*x^6+59*x^5+22*x^4+56*x^3+21*x^2+34*x+60', 'y^2=54*x^6+35*x^5+59*x^4+63*x^3+40*x^2+25*x+6', 'y^2=45*x^6+25*x^5+29*x^4+12*x^3+43*x^2+35*x+33', 'y^2=8*x^6+54*x^5+55*x^4+36*x^3+55*x^2+54*x+8'], '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': 8, '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', '2.0.228.1'], 'geometric_splitting_field': '4.0.51984.3', 'geometric_splitting_polynomials': [[361, 0, 19, 0, 1]], 'group_structure_count': 7, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, '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': 32, 'label': '2.73.as_is', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.3.1', '2.0.228.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -18, 226, -1314, 5329], 'poly_str': '1 -18 226 -1314 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, -18, 80], 'simple_distinct': ['1.73.ak', '1.73.ai'], 'simple_factors': ['1.73.akA', '1.73.aiA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-5*F-3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.51984.3', 'splitting_polynomials': [[361, 0, 19, 0, 1]], 'twist_count': 12, 'twists': [['2.73.ac_co', '2.5329.ey_vja', 2], ['2.73.c_co', '2.5329.ey_vja', 2], ['2.73.s_is', '2.5329.ey_vja', 2], ['2.73.ap_hu', '2.389017.dpm_eyfug', 3], ['2.73.j_k', '2.389017.dpm_eyfug', 3], ['2.73.az_kw', '2.151334226289.adbnnc_duarfbnby', 6], ['2.73.aj_k', '2.151334226289.adbnnc_duarfbnby', 6], ['2.73.ab_dm', '2.151334226289.adbnnc_duarfbnby', 6], ['2.73.b_dm', '2.151334226289.adbnnc_duarfbnby', 6], ['2.73.p_hu', '2.151334226289.adbnnc_duarfbnby', 6], ['2.73.z_kw', '2.151334226289.adbnnc_duarfbnby', 6]], 'weak_equivalence_count': 11, 'zfv_index': 32, 'zfv_index_factorization': [[2, 5]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 43776, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-5*F-3']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.73.ak', 'galois_group': '2T1', 'places': [['8', '1'], ['64', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.228.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.73.ai', 'galois_group': '2T1', 'places': [['69', '1'], ['4', '1']]}
Abelian variety isogeny class data - 2.73.as_is