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av_fq_isog • Show schema
{'abvar_count': 1465, 'abvar_counts': [1465, 4818385, 10777077655, 23791860074125, 52586601112361200, 116187921715697502385, 256666648330810750213435, 566977432189359154221955125, 1252452998669999205240720135565, 2766668681682586600112578344044800], 'abvar_counts_str': '1465 4818385 10777077655 23791860074125 52586601112361200 116187921715697502385 256666648330810750213435 566977432189359154221955125 1252452998669999205240720135565 2766668681682586600112578344044800 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0292875227882585, 0.372493218920453], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 29, 'curve_counts': [29, 2183, 103805, 4875699, 229290364, 10778884931, 506622453583, 23811289169011, 1119130457771915, 52599131660159918], 'curve_counts_str': '29 2183 103805 4875699 229290364 10778884931 506622453583 23811289169011 1119130457771915 52599131660159918 ', 'curves': ['y^2=26*x^6+21*x^5+21*x^4+17*x^3+33*x^2+10*x', 'y^2=46*x^6+10*x^5+31*x^4+20*x^3+7*x^2+14*x+41', 'y^2=35*x^6+39*x^5+x^4+7*x^3+32*x^2+43*x+5', 'y^2=30*x^6+32*x^5+24*x^4+6*x^3+29*x^2+23*x+38'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.1204533.1'], 'geometric_splitting_field': '4.0.1204533.1', 'geometric_splitting_polynomials': [[151, -35, 36, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.47.at_gl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1204533.1'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -19, 167, -893, 2209], 'poly_str': '1 -19 167 -893 2209 ', 'primitive_models': [], 'q': 47, 'real_poly': [1, -19, 73], 'simple_distinct': ['2.47.at_gl'], 'simple_factors': ['2.47.at_glA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1204533.1', 'splitting_polynomials': [[151, -35, 36, -2, 1]], 'twist_count': 2, 'twists': [['2.47.t_gl', '2.2209.abb_ackp', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 253, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.47.at_gl', 'extension_degree': 1, 'extension_label': '2.47.at_gl', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.1204533.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.47.at_gl', 'galois_group': '4T3', 'places': [['38', '33', '1', '0'], ['25', '12', '1', '0']]}
Abelian variety isogeny class data - 2.47.at_gl