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av_fq_isog • Show schema
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{'abvar_count': 36, 'abvar_counts': [36, 3024, 117936, 5818176, 290071836, 13908900096, 676355347116, 33208310064384, 1628413520361264, 79782948527388624], 'abvar_counts_str': '36 3024 117936 5818176 290071836 13908900096 676355347116 33208310064384 1628413520361264 79782948527388624 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.227185525828505, 0.560518859161838], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 61, 344, 2425, 17255, 118222, 821273, 5760529, 40353608, 282442261], 'curve_counts_str': '5 61 344 2425 17255 118222 821273 5760529 40353608 282442261 ', 'curves': ['y^2=6*x^6+6*x^5+2*x^4+3*x^3+x^2+4*x+6', 'y^2=4*x^6+2*x^5+4*x^4+3*x^3+3*x^2+2*x+1', 'y^2=5*x^5+3*x^4+x^3+4*x^2+2*x+6', 'y^2=3*x^6+2*x^5+6*x^4+6*x^3+x^2+3*x+3', 'y^2=x^6+x^3+5', 'y^2=3*x^6+5*x^5+3*x^4+5*x^3+6*x^2+4*x+5'], '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': 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': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.7.ad_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4], [1, 7, 1, 12]], 'poly': [1, -3, 10, -21, 49], 'poly_str': '1 -3 10 -21 49 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 7, 'real_poly': [1, -3, -4], 'simple_distinct': ['1.7.ae', '1.7.b'], 'simple_factors': ['1.7.aeA', '1.7.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F+7', '5,F^2-14*F+2', '3,11*F-2'], 'size': 28, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.7.af_s', '2.49.l_cu', 2], ['2.7.d_k', '2.49.l_cu', 2], ['2.7.f_s', '2.49.l_cu', 2], ['2.7.aj_bi', '2.343.a_la', 3], ['2.7.ag_t', '2.343.a_la', 3], ['2.7.a_al', '2.343.a_la', 3], ['2.7.a_ac', '2.343.a_la', 3], ['2.7.a_n', '2.343.a_la', 3], ['2.7.d_k', '2.343.a_la', 3], ['2.7.g_t', '2.343.a_la', 3], ['2.7.j_bi', '2.343.a_la', 3], ['2.7.ak_bn', '2.117649.wa_sbby', 6], ['2.7.ai_be', '2.117649.wa_sbby', 6], ['2.7.ae_j', '2.117649.wa_sbby', 6], ['2.7.ac_p', '2.117649.wa_sbby', 6], ['2.7.ab_ag', '2.117649.wa_sbby', 6], ['2.7.b_ag', '2.117649.wa_sbby', 6], ['2.7.c_p', '2.117649.wa_sbby', 6], ['2.7.e_j', '2.117649.wa_sbby', 6], ['2.7.i_be', '2.117649.wa_sbby', 6], ['2.7.k_bn', '2.117649.wa_sbby', 6], ['2.7.a_an', '2.13841287201.rmdw_gjxcinog', 12], ['2.7.a_c', '2.13841287201.rmdw_gjxcinog', 12], ['2.7.a_l', '2.13841287201.rmdw_gjxcinog', 12]], 'weak_equivalence_count': 8, 'zfv_index': 150, 'zfv_index_factorization': [[2, 1], [3, 1], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 324, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-F+7', '5,F^2-14*F+2', '3,11*F-2']}
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av_fq_endalg_factors • Show schema
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id: 7424
{'base_label': '2.7.ad_k', 'extension_degree': 1, 'extension_label': '1.7.ae', 'multiplicity': 1}
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id: 7425
{'base_label': '2.7.ad_k', 'extension_degree': 1, 'extension_label': '1.7.b', 'multiplicity': 1}
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id: 7426
{'base_label': '2.7.ad_k', 'extension_degree': 2, 'extension_label': '1.49.ac', 'multiplicity': 1}
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id: 7427
{'base_label': '2.7.ad_k', 'extension_degree': 2, 'extension_label': '1.49.n', 'multiplicity': 1}
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id: 7428
{'base_label': '2.7.ad_k', 'extension_degree': 3, 'extension_label': '1.343.au', 'multiplicity': 1}
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id: 7429
{'base_label': '2.7.ad_k', 'extension_degree': 3, 'extension_label': '1.343.u', 'multiplicity': 1}
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id: 7430
{'base_label': '2.7.ad_k', 'extension_degree': 6, 'extension_label': '1.117649.la', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.ae', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.7.b', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.ac', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.n', 'galois_group': '2T1', 'places': [['4', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.343.au', 'galois_group': '2T1', 'places': [['4', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.343.u', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.117649.la', 'galois_group': '2T1', 'places': [['4', '1'], ['2', '1']]}
