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av_fq_isog • Show schema
{'abvar_count': 2161, 'abvar_counts': [2161, 11671561, 42130879771, 146873114532045, 511154665713250096, 1779216310560917850721, 6193392913510370599631311, 21559179021447974615780509845, 75047496733432354191949283289421, 261240335505451386364764725734172416], 'abvar_counts_str': '2161 11671561 42130879771 146873114532045 511154665713250096 1779216310560917850721 6193392913510370599631311 21559179021447974615780509845 75047496733432354191949283289421 261240335505451386364764725734172416 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0994873533663269, 0.201629535656755], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 33, 'curve_counts': [33, 3351, 205137, 12120883, 714977328, 42180981531, 2488654177287, 146830448599123, 8662995839363643, 511116753302329206], 'curve_counts_str': '33 3351 205137 12120883 714977328 42180981531 2488654177287 146830448599123 8662995839363643 511116753302329206 ', 'curves': ['y^2=39*x^6+26*x^5+39*x^4+14*x^3+51*x^2+24*x+31', 'y^2=54*x^6+35*x^5+54*x^4+6*x^3+30*x^2+2*x+6', 'y^2=31*x^6+8*x^5+20*x^4+20*x^3+21*x^2+31*x+55', 'y^2=14*x^6+17*x^5+58*x^4+7*x^3+24*x^2+10*x+8'], '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': ['4.0.46125.1'], 'geometric_splitting_field': '4.0.46125.1', 'geometric_splitting_polynomials': [[121, -23, 24, -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.abb_ln', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.46125.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 3, 1, 2]], 'poly': [1, -27, 299, -1593, 3481], 'poly_str': '1 -27 299 -1593 3481 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 59, 'real_poly': [1, -27, 181], 'simple_distinct': ['2.59.abb_ln'], 'simple_factors': ['2.59.abb_lnA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.46125.1', 'splitting_polynomials': [[121, -23, 24, -2, 1]], 'twist_count': 2, 'twists': [['2.59.bb_ln', '2.3481.afb_pht', 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': 1845, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.59.abb_ln', 'extension_degree': 1, 'extension_label': '2.59.abb_ln', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.46125.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.abb_ln', 'galois_group': '4T3', 'places': [['5', '1', '0', '0'], ['2', '1', '0', '0'], ['53', '1', '0', '0'], ['56', '1', '0', '0']]}
Abelian variety isogeny class data - 2.59.abb_ln