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av_fq_isog • Show schema
{'abvar_count': 479, 'abvar_counts': [479, 689281, 597937616, 500644779449, 420651155542399, 353795965823478016, 297557664400360176599, 250247190115568222420969, 210457493136314010418317776, 176994607288284503963392382401], 'abvar_counts_str': '479 689281 597937616 500644779449 420651155542399 353795965823478016 297557664400360176599 250247190115568222420969 210457493136314010418317776 176994607288284503963392382401 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.100679126602517, 0.320248433638415], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 14, 'curve_counts': [14, 820, 24518, 707844, 20508414, 594791686, 17249843366, 500247845124, 14507160366782, 420707307311700], 'curve_counts_str': '14 820 24518 707844 20508414 594791686 17249843366 500247845124 14507160366782 420707307311700 ', 'curves': ['y^2=27*x^6+7*x^5+2*x^4+19*x^3+22*x^2+16*x+26', 'y^2=12*x^6+13*x^5+x^4+9*x^3+19*x+7', 'y^2=12*x^6+21*x^4+6*x^3+10*x^2+5*x+2', 'y^2=2*x^6+26*x^4+3*x^3+15*x^2+26*x+13', 'y^2=16*x^6+11*x^5+11*x^3+27', 'y^2=12*x^6+3*x^5+21*x^4+6*x^3+5*x^2+x+18'], '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': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.23225.1'], 'geometric_splitting_field': '4.0.23225.1', 'geometric_splitting_polynomials': [[64, -8, 15, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.29.aq_en', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.23225.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 29, 1, 3]], 'poly': [1, -16, 117, -464, 841], 'poly_str': '1 -16 117 -464 841 ', 'primitive_models': [], 'principal_polarization_count': 6, 'q': 29, 'real_poly': [1, -16, 59], 'simple_distinct': ['2.29.aq_en'], 'simple_factors': ['2.29.aq_enA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F^2+V-12'], 'size': 6, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.23225.1', 'splitting_polynomials': [[64, -8, 15, -1, 1]], 'twist_count': 2, 'twists': [['2.29.q_en', '2.841.aw_ud', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 3, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 929, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F^2+V-12']} -
av_fq_endalg_factors • Show schema
{'base_label': '2.29.aq_en', 'extension_degree': 1, 'extension_label': '2.29.aq_en', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.23225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.aq_en', 'galois_group': '4T3', 'places': [['27', '1', '0', '0'], ['24', '1', '0', '0'], ['25', '1', '0', '0'], ['10', '1', '0', '0']]}
Abelian variety isogeny class data - 2.29.aq_en