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av_fq_isog • Show schema
{'abvar_count': 101, 'abvar_counts': [101, 29997, 4815377, 808029189, 137973330176, 23336034433173, 3938794045074017, 665419950171347877, 112455794370804724637, 19005082979348421660672], 'abvar_counts_str': '101 29997 4815377 808029189 137973330176 23336034433173 3938794045074017 665419950171347877 112455794370804724637 19005082979348421660672 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.13827105959437, 0.479742145051041], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 179, 2191, 28291, 371602, 4834667, 62771107, 815734819, 10604535907, 137859356534], 'curve_counts_str': '7 179 2191 28291 371602 4834667 62771107 815734819 10604535907 137859356534 ', 'curves': ['y^2=2*x^6+6*x^5+2*x^4+9*x^3+7*x+12', 'y^2=9*x^6+8*x^5+10*x^3+x^2+7*x+2', 'y^2=8*x^6+6*x^5+3*x^4+11*x^3+8*x^2+6*x+5', 'y^2=8*x^6+9*x^5+6*x^4+8*x^3+10*x^2+3*x+1', 'y^2=2*x^6+2*x^5+9*x^3+11', 'y^2=5*x^5+12*x^4+10*x^2+12*x+6', 'y^2=8*x^6+3*x^5+5*x^4+7*x^3+8*x^2+9*x+7', 'y^2=11*x^6+2*x^5+9*x^4+4*x^3+7*x^2+7*x+1', 'y^2=12*x^5+12*x^3+12*x^2+1'], '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': ['4.0.72557.1'], 'geometric_splitting_field': '4.0.72557.1', 'geometric_splitting_polynomials': [[33, -13, 14, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, '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': 9, 'label': '2.13.ah_bd', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.72557.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 6]], 'poly': [1, -7, 29, -91, 169], 'poly_str': '1 -7 29 -91 169 ', 'primitive_models': [], 'principal_polarization_count': 9, 'q': 13, 'real_poly': [1, -7, 3], 'simple_distinct': ['2.13.ah_bd'], 'simple_factors': ['2.13.ah_bdA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-6*F-V+5'], 'size': 9, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.72557.1', 'splitting_polynomials': [[33, -13, 14, -2, 1]], 'twist_count': 2, 'twists': [['2.13.h_bd', '2.169.j_adr', 2]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 6, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 477, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-6*F-V+5']} -
av_fq_endalg_factors • Show schema
{'base_label': '2.13.ah_bd', 'extension_degree': 1, 'extension_label': '2.13.ah_bd', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.72557.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ah_bd', 'galois_group': '4T3', 'places': [['12', '7', '0', '1'], ['12', '5', '0', '1']]}
Abelian variety isogeny class data - 2.13.ah_bd