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av_fq_isog • Show schema
{'abvar_count': 1627, 'abvar_counts': [1627, 2647129, 4750215232, 7986835557801, 13422659428165627, 22564544750324813824, 37929227194562157131947, 63759119354980947904055625, 107178930967531569975547442752, 180167786124523596810190144303129], 'abvar_counts_str': '1627 2647129 4750215232 7986835557801 13422659428165627 22564544750324813824 37929227194562157131947 63759119354980947904055625 107178930967531569975547442752 180167786124523596810190144303129 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.132990101476762, 0.867009898523238], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 42, 'curve_counts': [42, 1572, 68922, 2826436, 115856202, 4750326222, 194754273882, 7984936305028, 327381934393962, 13422659546178852], 'curve_counts_str': '42 1572 68922 2826436 115856202 4750326222 194754273882 7984936305028 327381934393962 13422659546178852 ', 'curves': ['y^2=15*x^6+4*x^5+12*x^4+39*x^3+18*x^2+x+6', 'y^2=8*x^6+24*x^5+31*x^4+29*x^3+26*x^2+6*x+36', 'y^2=12*x^6+9*x^5+37*x^3+33*x^2+6*x+27', 'y^2=37*x^6+11*x^5+8*x^4+21*x^3+20*x^2+3*x+6', 'y^2=8*x^6+3*x^5+34*x^4+2*x^3+14*x^2+35*x+10', 'y^2=12*x^6+38*x^5+22*x^4+31*x^3+33*x^2+24*x+21', 'y^2=31*x^6+23*x^5+9*x^4+22*x^3+34*x^2+21*x+3', 'y^2=14*x^6+12*x^5+40*x^4+6*x^3+18*x^2+37*x+21', 'y^2=2*x^6+31*x^5+35*x^4+36*x^3+26*x^2+17*x+3', 'y^2=11*x^6+37*x^5+30*x^4+34*x^3+37*x^2+32*x+9', 'y^2=6*x^6+7*x^5+2*x^4+25*x^3+33*x^2+13*x+18', 'y^2=13*x^6+11*x^5+30*x^4+30*x^3+37*x^2+8*x+5', 'y^2=37*x^6+25*x^5+16*x^4+16*x^3+17*x^2+7*x+30', 'y^2=40*x^6+4*x^5+9*x^4+15*x^3+38*x^2+5*x+38', 'y^2=16*x^6+20*x^5+7*x^4+10*x^3+6*x^2+5*x+9', 'y^2=14*x^6+38*x^5+x^4+19*x^3+36*x^2+30*x+13', 'y^2=25*x^6+34*x^5+26*x^4+26*x^3+2*x^2+16*x+2', 'y^2=22*x^6+33*x^5+33*x^4+31*x^3+33*x^2+11*x+14', 'y^2=10*x^6+36*x^5+40*x^4+19*x^3+30*x^2+35*x+9', 'y^2=3*x^6+14*x^5+4*x^4+38*x^3+24*x^2+37*x+9', 'y^2=18*x^6+2*x^5+24*x^4+23*x^3+21*x^2+17*x+13', 'y^2=40*x^6+9*x^5+39*x^4+37*x^3+19*x^2+28*x+1', 'y^2=35*x^6+13*x^5+29*x^4+17*x^3+32*x^2+4*x+6', 'y^2=15*x^6+24*x^5+5*x^4+8*x^3+23*x^2+34*x+36', 'y^2=8*x^6+21*x^5+30*x^4+7*x^3+15*x^2+40*x+11', 'y^2=24*x^6+11*x^5+23*x^4+14*x^3+27*x^2+2*x+9', 'y^2=21*x^6+25*x^5+15*x^4+2*x^3+39*x^2+12*x+13', 'y^2=29*x^6+15*x^5+6*x^3+20*x^2+2*x+17', 'y^2=20*x^6+17*x^5+33*x^4+14*x^3+19*x^2+3*x+29', 'y^2=28*x^6+35*x^5+14*x^4+26*x^3+5*x^2+25*x+17'], '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': 4, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.411.1'], 'geometric_splitting_field': '2.0.411.1', 'geometric_splitting_polynomials': [[103, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.41.a_acd', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.168921.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -55, 0, 1681], 'poly_str': '1 0 -55 0 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, 0, -137], 'simple_distinct': ['2.41.a_acd'], 'simple_factors': ['2.41.a_acdA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2-V+6', '3,16*F^2-3*F-8'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.168921.1', 'splitting_polynomials': [[1156, 34, 35, -1, 1]], 'twist_count': 4, 'twists': [['2.41.aj_cq', '2.68921.a_giew', 3], ['2.41.j_cq', '2.68921.a_giew', 3], ['2.41.a_cd', '2.2825761.zy_mqagh', 4], ['2.41.aj_cq', '2.4750104241.mqjs_csqkmcio', 6], ['2.41.j_cq', '2.4750104241.mqjs_csqkmcio', 6]], 'weak_equivalence_count': 4, 'zfv_index': 36, 'zfv_index_factorization': [[2, 2], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 729, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^2-V+6', '3,16*F^2-3*F-8']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.168921.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.a_acd', 'galois_group': '4T2', 'places': [['14', '15', '6', '1'], ['5', '7', '35', '40']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.411.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1681.acd', 'galois_group': '2T1', 'places': [['4', '1'], ['36', '1']]}
Abelian variety isogeny class data - 2.41.a_acd