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av_fq_isog • Show schema
{'abvar_count': 1798, 'abvar_counts': [1798, 7699036, 22171008544, 62260687509376, 174876111723431998, 491249948520399745792, 1379942713983883886781454, 3876268427364307171623464448, 10888439921414837070026991032608, 30585627442373572700311942608465916], 'abvar_counts_str': '1798 7699036 22171008544 62260687509376 174876111723431998 491249948520399745792 1379942713983883886781454 3876268427364307171623464448 10888439921414837070026991032608 30585627442373572700311942608465916 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0511985002933006, 0.298119617728851], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 31, 'curve_counts': [31, 2741, 148924, 7890609, 418168331, 22163957066, 1174708119455, 62259680408833, 3299763640178908, 174887471231929421], 'curve_counts_str': '31 2741 148924 7890609 418168331 22163957066 1174708119455 62259680408833 3299763640178908 174887471231929421 ', 'curves': ['y^2=9*x^6+19*x^5+31*x^4+4*x^3+12*x^2+30*x+36', 'y^2=22*x^6+32*x^5+31*x^4+17*x^3+47*x^2+25*x+45', 'y^2=51*x^6+31*x^5+49*x^4+38*x^3+34*x^2+47*x+18', 'y^2=11*x^6+42*x^5+31*x^4+43*x^3+21*x^2+26*x+50'], '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': ['4.0.814572.2'], 'geometric_splitting_field': '4.0.814572.2', 'geometric_splitting_polynomials': [[103, 79, 32, -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': '2.53.ax_iw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.814572.2'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 11, 1, 2]], 'poly': [1, -23, 230, -1219, 2809], 'poly_str': '1 -23 230 -1219 2809 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 53, 'real_poly': [1, -23, 124], 'simple_distinct': ['2.53.ax_iw'], 'simple_factors': ['2.53.ax_iwA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.814572.2', 'splitting_polynomials': [[103, 79, 32, -1, 1]], 'twist_count': 2, 'twists': [['2.53.x_iw', '2.2809.acr_dqa', 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': 748, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.53.ax_iw', 'extension_degree': 1, 'extension_label': '2.53.ax_iw', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.814572.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.ax_iw', 'galois_group': '4T3', 'places': [['451/53', '62/53', '5/53', '1/53'], ['47', '1', '0', '0']]}
Abelian variety isogeny class data - 2.53.ax_iw