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av_fq_isog • Show schema
{'abvar_count': 575, 'abvar_counts': [575, 919425, 899990000, 855956172825, 820012691114375, 787673998369440000, 756937556278180717175, 727421573201413405480425, 699053442818080395344390000, 671790522746023964873983160625], 'abvar_counts_str': '575 919425 899990000 855956172825 820012691114375 787673998369440000 756937556278180717175 727421573201413405480425 699053442818080395344390000 671790522746023964873983160625 ', 'angle_rank': 2, 'angles': [0.20042911736993, 0.283620691307627], 'center_dim': 4, 'curve_count': 16, 'curve_counts': [16, 956, 30208, 926836, 28642576, 887516318, 27512382256, 852889221796, 26439615459328, 819628279571276], 'curve_counts_str': '16 956 30208 926836 28642576 887516318 27512382256 852889221796 26439615459328 819628279571276 ', 'curves': ['y^2=12*x^6+14*x^5+18*x^4+25*x^3+2*x^2+4*x+24', 'y^2=x^6+12*x^5+24*x^4+12*x^2+3*x+4', 'y^2=18*x^6+16*x^5+15*x^4+3*x^3+21*x^2+14*x+5', 'y^2=6*x^6+16*x^5+11*x^4+17*x^3+15*x^2+9*x+12', 'y^2=15*x^6+12*x^5+20*x^4+x^3+20*x^2+12*x+15', 'y^2=3*x^6+5*x^5+19*x^4+22*x^3+16*x^2+2*x+17', 'y^2=29*x^6+9*x^4+9*x^3+2*x^2+30'], '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': ['2.0.43.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.16641.1', 'geometric_splitting_polynomials': [[121, -11, -10, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 7, 'label': '2.31.aq_ev', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'number_fields': ['2.0.43.1', '2.0.3.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 2], [2, 7, 1, 6]], 'poly': [1, -16, 125, -496, 961], 'poly_str': '1 -16 125 -496 961 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 31, 'real_poly': [1, -16, 63], 'simple_distinct': ['1.31.aj', '1.31.ah'], 'simple_factors': ['1.31.ajA', '1.31.ahA'], 'simple_multiplicities': [1, 1], 'size': 10, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.16641.1', 'splitting_polynomials': [[121, -11, -10, -1, 1]], 'twist_count': 12, 'twists': [['2.31.ac_ab', '2.961.ag_cml', 2], ['2.31.c_ab', '2.961.ag_cml', 2], ['2.31.q_ev', '2.961.ag_cml', 2], ['2.31.an_du', '2.29791.qa_fhja', 3], ['2.31.c_abl', '2.29791.qa_fhja', 3], ['2.31.au_gf', '2.887503681.ssa_hcpzny', 6], ['2.31.af_ba', '2.887503681.ssa_hcpzny', 6], ['2.31.ac_abl', '2.887503681.ssa_hcpzny', 6], ['2.31.f_ba', '2.887503681.ssa_hcpzny', 6], ['2.31.n_du', '2.887503681.ssa_hcpzny', 6], ['2.31.u_gf', '2.887503681.ssa_hcpzny', 6]], 'zfv_index': 20, 'zfv_index_factorization': [[2, 2], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3225} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.aj', 'galois_group': '2T1', 'places': [['26', '1'], ['4', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.ah', 'galois_group': '2T1', 'places': [['5', '1'], ['25', '1']]}
Abelian variety isogeny class data - 2.31.aq_ev