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av_fq_isog • Show schema
{'abvar_count': 87, 'abvar_counts': [87, 29493, 5008851, 819698949, 137804618832, 23305056711525, 3938728027833483, 665491412853217989, 112456388771410123359, 19004848787538456323328], 'abvar_counts_str': '87 29493 5008851 819698949 137804618832 23305056711525 3938728027833483 665491412853217989 112456388771410123359 19004848787538456323328 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.161492811254727, 0.377973052280039], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 175, 2279, 28699, 371150, 4828255, 62770055, 815822419, 10604591957, 137857657750], 'curve_counts_str': '5 175 2279 28699 371150 4828255 62770055 815822419 10604591957 137857657750 ', 'curves': ['y^2=4*x^6+7*x^5+9*x^4+7*x^3+5*x^2+5*x+7', 'y^2=10*x^6+2*x^5+2*x^4+2*x^3+2*x+5', 'y^2=8*x^6+3*x^5+5*x^3+12*x^2+12*x+11', 'y^2=8*x^6+11*x^5+4*x^4+11*x^3+x+4'], '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': 1, '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': ['4.0.92781.3'], 'geometric_splitting_field': '4.0.92781.3', 'geometric_splitting_polynomials': [[51, -21, 13, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, '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': 4, 'label': '2.13.aj_br', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.92781.3'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 3, 2, 2]], 'poly': [1, -9, 43, -117, 169], 'poly_str': '1 -9 43 -117 169 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 13, 'real_poly': [1, -9, 17], 'simple_distinct': ['2.13.aj_br'], 'simple_factors': ['2.13.aj_brA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.92781.3', 'splitting_polynomials': [[51, -21, 13, -1, 1]], 'twist_count': 2, 'twists': [['2.13.j_br', '2.169.f_dd', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 549, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.13.aj_br', 'extension_degree': 1, 'extension_label': '2.13.aj_br', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.92781.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.aj_br', 'galois_group': '4T3', 'places': [['4', '1', '0', '0'], ['148/13', '31/13', '4/13', '3/13']]}
Abelian variety isogeny class data - 2.13.aj_br