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av_fq_isog • Show schema
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{'abvar_count': 144, 'abvar_counts': [144, 17280, 1774656, 218488320, 25833267504, 3130493184000, 379894475893104, 45952044838778880, 5560018338439596096, 672758038151896752000], 'abvar_counts_str': '144 17280 1774656 218488320 25833267504 3130493184000 379894475893104 45952044838778880 5560018338439596096 672758038151896752000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.35061540727732, 0.706037166300355], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 13, 'curve_counts': [13, 141, 1336, 14921, 160403, 1767078, 19494593, 214369681, 2357990536, 25937734701], 'curve_counts_str': '13 141 1336 14921 160403 1767078 19494593 214369681 2357990536 25937734701 ', 'curves': ['y^2=8*x^5+4*x^4+4*x^2+3*x+8', 'y^2=5*x^6+7*x^5+7*x^4+x^3+10*x+9', 'y^2=3*x^6+10*x^4+7*x^3+8*x^2+6*x+7', 'y^2=x^6+9*x^5+10*x^4+6*x^3+7*x^2+3*x+2', 'y^2=8*x^6+10*x^5+4*x^4+9*x^3+x^2+4*x+8', 'y^2=8*x^6+2*x^5+5*x^4+7*x^3+8*x^2+9*x+3', 'y^2=9*x^6+2*x^5+10*x^4+4*x^3+4*x^2+2*x+2', 'y^2=10*x^6+9*x^5+4*x^4+10*x^3+2*x+10', 'y^2=7*x^6+7*x^5+10*x^4+5*x^3+6*x^2+8*x+10', 'y^2=5*x^6+x^5+x^4+2*x+8', 'y^2=5*x^6+4*x^5+x^4+7*x^3+x^2+7*x', 'y^2=10*x^6+4*x^5+7*x^3+4*x^2+7*x+4', 'y^2=10*x^6+6*x^5+6*x^4+9*x^3+10*x^2+3', 'y^2=4*x^6+4*x^5+8*x^4+8*x^3+3*x^2+x+6'], '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': 6, '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': ['2.0.35.1', '2.0.7.1'], 'geometric_splitting_field': '4.0.1225.1', 'geometric_splitting_polynomials': [[4, 2, 5, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.11.b_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.35.1', '2.0.7.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 42]], 'poly': [1, 1, 10, 11, 121], 'poly_str': '1 1 10 11 121 ', 'primitive_models': [], 'principal_polarization_count': 18, 'q': 11, 'real_poly': [1, 1, -12], 'simple_distinct': ['1.11.ad', '1.11.e'], 'simple_factors': ['1.11.adA', '1.11.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['7,4*V+8', '2,7*F+7'], 'size': 100, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1225.1', 'splitting_polynomials': [[4, 2, 5, -1, 1]], 'twist_count': 4, 'twists': [['2.11.ah_bi', '2.121.t_mi', 2], ['2.11.ab_k', '2.121.t_mi', 2], ['2.11.h_bi', '2.121.t_mi', 2]], 'weak_equivalence_count': 6, 'zfv_index': 98, 'zfv_index_factorization': [[2, 1], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 42, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 980, 'zfv_singular_count': 4, 'zfv_singular_primes': ['7,4*V+8', '2,7*F+7']}
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av_fq_endalg_factors • Show schema
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id: 8797
{'base_label': '2.11.b_k', 'extension_degree': 1, 'extension_label': '1.11.ad', 'multiplicity': 1}
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id: 8798
{'base_label': '2.11.b_k', 'extension_degree': 1, 'extension_label': '1.11.e', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ad', 'galois_group': '2T1', 'places': [['9', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.e', 'galois_group': '2T1', 'places': [['6', '1'], ['4', '1']]}
