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av_fq_isog • Show schema
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{'abvar_count': 468, 'abvar_counts': [468, 125424, 49280400, 16911670464, 6131744784828, 2212197156000000, 799055122265258508, 288442180649269580544, 104127868974500422131600, 37589943558971434083049584], 'abvar_counts_str': '468 125424 49280400 16911670464 6131744784828 2212197156000000 799055122265258508 288442180649269580544 104127868974500422131600 37589943558971434083049584 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.361096694199557, 0.972236639133776], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 25, 'curve_counts': [25, 349, 7180, 129769, 2476375, 47022118, 893925925, 16983608209, 322689305140, 6131061381229], 'curve_counts_str': '25 349 7180 129769 2476375 47022118 893925925 16983608209 322689305140 6131061381229 ', 'curves': ['y^2=5*x^6+8*x^5+17*x^4+14*x^3+4*x^2+x+7', 'y^2=x^6+6*x^5+x^4+17*x^3+8*x^2+15*x+1', 'y^2=12*x^6+5*x^5+16*x^3+10*x^2+13*x+18', 'y^2=7*x^6+6*x^5+17*x^4+x^3+18*x^2+3*x+11', 'y^2=3*x^6+9*x^5+18*x^4+11*x^2+4*x+16', 'y^2=4*x^6+6*x^5+10*x^4+15*x^3+6*x^2+13*x+11', 'y^2=x^6+x^3+17', 'y^2=6*x^5+17*x^4+16*x^3+3*x^2+17*x+14'], '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': 6, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.51.1'], 'geometric_splitting_field': '2.0.51.1', 'geometric_splitting_polynomials': [[13, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.19.f_g', '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': ['4.0.2601.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 2, 3]], 'poly': [1, 5, 6, 95, 361], 'poly_str': '1 5 6 95 361 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 19, 'real_poly': [1, 5, -32], 'simple_distinct': ['2.19.f_g'], 'simple_factors': ['2.19.f_gA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F+V-3', '3,2*F^2-8'], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2601.1', 'splitting_polynomials': [[16, 4, 5, -1, 1]], 'twist_count': 6, 'twists': [['2.19.af_g', '2.361.an_ahk', 2], ['2.19.ak_cl', '2.6859.mi_cgeg', 3], ['2.19.af_g', '2.47045881.abjea_tuwbzy', 6], ['2.19.a_n', '2.47045881.abjea_tuwbzy', 6], ['2.19.k_cl', '2.47045881.abjea_tuwbzy', 6], ['2.19.a_an', '2.2213314919066161.ahycmae_bvbsiwvsxcag', 12]], 'weak_equivalence_count': 6, 'zfv_index': 18, 'zfv_index_factorization': [[2, 1], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 3, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 36, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,2*F+V-3', '3,2*F^2-8']}
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av_fq_endalg_factors • Show schema
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id: 11616
{'base_label': '2.19.f_g', 'extension_degree': 1, 'extension_label': '2.19.f_g', 'multiplicity': 1}
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id: 11617
{'base_label': '2.19.f_g', 'extension_degree': 3, 'extension_label': '1.6859.ge', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.2601.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.f_g', 'galois_group': '4T2', 'places': [['10', '1', '0', '0'], ['11', '1', '0', '0'], ['1', '1', '0', '0'], ['15', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.51.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6859.ge', 'galois_group': '2T1', 'places': [['16', '1'], ['2', '1']]}
