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av_fq_isog • Show schema
{'abvar_count': 4971, 'abvar_counts': [4971, 24710841, 128100999744, 646009808058729, 3255243549205651851, 16409866135412288065536, 82721210695561233807550491, 416997655935737446666847298249, 2102085018129621403473011581737024, 10596610564645009123657611081819726201], 'abvar_counts_str': '4971 24710841 128100999744 646009808058729 3255243549205651851 16409866135412288065536 82721210695561233807550491 416997655935737446666847298249 2102085018129621403473011581737024 10596610564645009123657611081819726201 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.166666666666667, 0.833333333333333], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 4900, 357912, 25421764, 1804229352, 128101715566, 9095120158392, 645753582069124, 45848500718449032, 3255243547401422500], 'curve_counts_str': '72 4900 357912 25421764 1804229352 128101715566 9095120158392 645753582069124 45848500718449032 3255243547401422500 ', 'curves': ['y^2=x^6+62*x^5+63*x^4+23*x^3+55*x^2+17*x+51', 'y^2=9*x^6+66*x^5+52*x^4+6*x^3+70*x^2+59*x+9', 'y^2=63*x^6+36*x^5+9*x^4+42*x^3+64*x^2+58*x+63', 'y^2=13*x^6+43*x^5+41*x^4+68*x^3+21*x^2+35*x+13', 'y^2=20*x^6+17*x^5+3*x^4+50*x^3+5*x^2+32*x+20', 'y^2=15*x^6+24*x^5+70*x^4+28*x^3+33*x^2+66*x+15', 'y^2=34*x^6+26*x^5+64*x^4+54*x^3+18*x^2+36*x+34', 'y^2=12*x^6+26*x^5+49*x^4+17*x^3+28*x^2+46*x+12', 'y^2=13*x^6+40*x^5+59*x^4+48*x^3+54*x^2+38*x+13', 'y^2=33*x^6+16*x^5+64*x^4+23*x^3+53*x^2+40*x+33', 'y^2=18*x^6+41*x^5+22*x^4+19*x^3+16*x^2+67*x+18', 'y^2=54*x^6+27*x^5+25*x^4+29*x^3+61*x^2+13*x+54', 'y^2=23*x^6+47*x^5+33*x^4+61*x^3+x^2+20*x+23'], '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': 1, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 13, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 13, 'label': '2.71.a_act', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['4.0.45369.1'], 'p': 71, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -71, 0, 5041], 'poly_str': '1 0 -71 0 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 0, -213], 'simple_distinct': ['2.71.a_act'], 'simple_factors': ['2.71.a_actA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+V-7', '71,V-71,-2*F-V+142'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.45369.1', 'splitting_polynomials': [[324, -18, -17, -1, 1]], 'twist_count': 5, 'twists': [['2.71.a_fm', '2.357911.a_bosxq', 3], ['2.71.a_ct', '2.25411681.oxu_gkvltb', 4], ['2.71.a_afm', '2.16409682740640811134241.aclusktprw_cgsgkjfspbarrpcyg', 12], ['2.71.a_a', '2.269277687648484922418719360310447236922646081.abndmygdvbjjddbkqe_wcifwenwlpuinjqfosneutebxjzrxxwg', 24]], 'weak_equivalence_count': 4, 'zfv_index': 284, 'zfv_index_factorization': [[2, 2], [71, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 5041, 'zfv_singular_count': 5, 'zfv_singular_primes': ['2,F+V-7', '71,V-71,-2*F-V+142']} -
av_fq_endalg_factors • Show schema
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id: 72596
{'base_label': '2.71.a_act', 'extension_degree': 1, 'extension_label': '2.71.a_act', 'multiplicity': 1} -
id: 72597
{'base_label': '2.71.a_act', 'extension_degree': 2, 'extension_label': '1.5041.act', 'multiplicity': 2} -
id: 72598
{'base_label': '2.71.a_act', 'extension_degree': 3, 'extension_label': '1.357911.a', 'multiplicity': 2} -
id: 72599
{'base_label': '2.71.a_act', 'extension_degree': 6, 'extension_label': '1.128100283921.bosxq', 'multiplicity': 2}
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id: 72596
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '4.0.45369.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.71.a_act', 'galois_group': '4T2', 'places': [['51', '49', '44', '36']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5041.act', 'galois_group': '2T1', 'places': [['0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '2.0.71.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.357911.a', 'galois_group': '2T1', 'places': [['35', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.128100283921.bosxq', 'galois_group': '1T1', 'places': [['0']]}
Abelian variety isogeny class data - 2.71.a_act