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av_fq_isog • Show schema
{'abvar_count': 226, 'abvar_counts': [226, 155036, 41876896, 14800356704, 4808804794546, 1616556730514432, 559019853595776526, 191721673922275371392, 65690870348175599115616, 22537783825655419364037596], 'abvar_counts_str': '226 155036 41876896 14800356704 4808804794546 1616556730514432 559019853595776526 191721673922275371392 65690870348175599115616 22537783825655419364037596 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.20917155487757, 0.350275697141248, 0.662651760946575], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 62, 358, 2562, 17024, 116792, 824240, 5769026, 40340410, 282455742], 'curve_counts_str': '4 62 358 2562 17024 116792 824240 5769026 40340410 282455742 ', 'curves': ['y^2=x^7+x^5+2*x^2+4*x+2', 'y^2=x^7+x^6+6*x^3+x^2+3*x+1', 'y^2=x^8+x^3+2*x^2+3*x+5', 'y^2=x^8+2*x^5+x^3+3*x^2+6*x+3', 'y^2=x^8+x^6+x^5+2*x^2+3*x+3', 'y^2=x^8+x^6+2*x^5+2*x^4+4*x^3+6*x^2+4*x+6'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 3, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.259687832.1'], 'geometric_splitting_field': '6.0.259687832.1', 'geometric_splitting_polynomials': [[148, 6, 59, -8, 12, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.7.ae_o_abe', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'number_fields': ['6.0.259687832.1'], 'p': 7, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 7, 1, 6], [1, 3, 1, 12]], 'poly': [1, -4, 14, -30, 98, -196, 343], 'poly_str': '1 -4 14 -30 98 -196 343 ', 'primitive_models': [], 'principal_polarization_count': 48, 'q': 7, 'real_poly': [1, -4, -7, 26], 'simple_distinct': ['3.7.ae_o_abe'], 'simple_factors': ['3.7.ae_o_abeA'], 'simple_multiplicities': [1], 'singular_primes': ['2,5*F^2-5*F-4*V+11'], 'size': 48, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.259687832.1', 'splitting_polynomials': [[148, 6, 59, -8, 12, -2, 1]], 'twist_count': 2, 'twists': [['3.7.e_o_be', '3.49.m_fw_bla', 2]], 'weak_equivalence_count': 3, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 4952, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,5*F^2-5*F-4*V+11']} -
av_fq_endalg_factors • Show schema
{'base_label': '3.7.ae_o_abe', 'extension_degree': 1, 'extension_label': '3.7.ae_o_abe', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '6.0.259687832.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.7.ae_o_abe', 'galois_group': '6T11', 'places': [['2', '1', '0', '0', '0', '0'], ['2', '2', '1', '0', '0', '0'], ['1', '1', '0', '0', '0', '0'], ['2', '0', '1', '0', '0', '0']]}
Abelian variety isogeny class data - 3.7.ae_o_abe