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av_fq_isog • Show schema
{'abvar_count': 153, 'abvar_counts': [153, 83997, 24739641, 7006777749, 2016056118528, 582629752607373, 168392104113976497, 48663041996611347237, 14063184164576808156897, 4064230371874251183132672], 'abvar_counts_str': '153 83997 24739641 7006777749 2016056118528 582629752607373 168392104113976497 48663041996611347237 14063184164576808156897 4064230371874251183132672 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.153753248595504, 0.352010293508839], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 291, 5035, 83891, 1419902, 24137883, 410373467, 6976022659, 118588717327, 2015993387166], 'curve_counts_str': '7 291 5035 83891 1419902 24137883 410373467 6976022659 118588717327 2015993387166 ', 'curves': ['y^2=5*x^6+13*x^5+5*x^4+15*x^3+13*x^2+x+6', 'y^2=5*x^6+2*x^5+9*x^4+14*x^3+15*x^2+13*x+12', 'y^2=13*x^6+14*x^5+4*x^4+10*x^3+4*x+6', 'y^2=7*x^6+13*x^5+2*x^4+x^3+9*x^2+5*x+9', 'y^2=14*x^6+11*x^5+9*x^4+2*x^3+7*x^2+9*x+13'], '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': ['4.0.134693.2'], 'geometric_splitting_field': '4.0.134693.2', 'geometric_splitting_polynomials': [[61, 10, 16, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 5, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 5, 'label': '2.17.al_cj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.134693.2'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 5]], 'poly': [1, -11, 61, -187, 289], 'poly_str': '1 -11 61 -187 289 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 17, 'real_poly': [1, -11, 27], 'simple_distinct': ['2.17.al_cj'], 'simple_factors': ['2.17.al_cjA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 5, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.134693.2', 'splitting_polynomials': [[61, 10, 16, -1, 1]], 'twist_count': 2, 'twists': [['2.17.l_cj', '2.289.b_hd', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 5, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 797, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.17.al_cj', 'extension_degree': 1, 'extension_label': '2.17.al_cj', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.134693.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.al_cj', 'galois_group': '4T3', 'places': [['15', '1', '0', '0'], ['7', '1', '0', '0'], ['87/17', '235/17', '9/17', '285/17'], ['121/17', '235/17', '9/17', '285/17']]}
Abelian variety isogeny class data - 2.17.al_cj