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av_fq_isog • Show schema
{'abvar_count': 2207, 'abvar_counts': [2207, 11756689, 42191404388, 146898335955497, 511158745595533447, 1779213416085892080784, 6193390031068187781573791, 21559177758896338648436524553, 75047496574702120256993508049796, 261240335715388060015377803836939009], 'abvar_counts_str': '2207 11756689 42191404388 146898335955497 511158745595533447 1779213416085892080784 6193390031068187781573791 21559177758896338648436524553 75047496574702120256993508049796 261240335715388060015377803836939009 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.112413476670757, 0.228039227441272], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 34, 'curve_counts': [34, 3376, 205432, 12122964, 714983034, 42180912910, 2488653019054, 146830440000420, 8662995821040856, 511116753713070336], 'curve_counts_str': '34 3376 205432 12122964 714983034 42180912910 2488653019054 146830440000420 8662995821040856 511116753713070336 ', 'curves': ['y^2=5*x^6+4*x^5+58*x^4+35*x^3+43*x^2+10*x+4', 'y^2=6*x^6+50*x^5+2*x^4+7*x^3+26*x^2+55*x+11', 'y^2=8*x^6+36*x^5+30*x^4+4*x^3+24*x^2+16*x+47', 'y^2=48*x^6+34*x^5+35*x^4+17*x^3+8*x^2+46*x+56'], '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': ['4.0.183872.5'], 'geometric_splitting_field': '4.0.183872.5', 'geometric_splitting_polynomials': [[191, -6, 33, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 4, 'label': '2.59.aba_kz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.183872.5'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 4]], 'poly': [1, -26, 285, -1534, 3481], 'poly_str': '1 -26 285 -1534 3481 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 59, 'real_poly': [1, -26, 167], 'simple_distinct': ['2.59.aba_kz'], 'simple_factors': ['2.59.aba_kzA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.183872.5', 'splitting_polynomials': [[191, -6, 33, -2, 1]], 'twist_count': 2, 'twists': [['2.59.ba_kz', '2.3481.aec_mlv', 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': 2873, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.59.aba_kz', 'extension_degree': 1, 'extension_label': '2.59.aba_kz', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.183872.5', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.aba_kz', 'galois_group': '4T3', 'places': [['470/59', '68/59', '5/59', '1/59'], ['52', '1', '0', '0']]}
Abelian variety isogeny class data - 2.59.aba_kz