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av_fq_isog • Show schema
{'abvar_count': 378, 'abvar_counts': [378, 158004, 47396664, 16843226400, 6128166765798, 2213929646824896, 799021550978054838, 288439958421504489600, 104127345957440010149784, 37589965309063951248484404], 'abvar_counts_str': '378 158004 47396664 16843226400 6128166765798 2213929646824896 799021550978054838 288439958421504489600 104127345957440010149784 37589965309063951248484404 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.426318466620529, 0.536593197520164], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 19, 'curve_counts': [19, 433, 6910, 129241, 2474929, 47058946, 893888371, 16983477361, 322687684330, 6131064928753], 'curve_counts_str': '19 433 6910 129241 2474929 47058946 893888371 16983477361 322687684330 6131064928753 ', 'curves': ['y^2=12*x^6+2*x^5+4*x^4+9*x^3+17*x^2+4*x+2', 'y^2=5*x^6+12*x^5+17*x^4+16*x^3+4*x^2+12*x+17', 'y^2=3*x^6+17*x^5+6*x^4+17*x^3+7*x^2+18*x+3', 'y^2=4*x^6+2*x^5+9*x^4+10*x^3+14*x^2+17*x+5', 'y^2=12*x^6+2*x^5+x^4+15*x^3+14*x^2+13*x+6', 'y^2=9*x^6+5*x^5+6*x^4+14*x^3+16*x+9', 'y^2=17*x^6+16*x^5+5*x^4+3*x^3+16*x^2+18*x+9'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 12, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.8.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.576.1', 'geometric_splitting_polynomials': [[4, 0, -2, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 7, 'label': '2.19.ab_bk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.8.1', '2.0.3.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [2, 7, 1, 6]], 'poly': [1, -1, 36, -19, 361], 'poly_str': '1 -1 36 -19 361 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 19, 'real_poly': [1, -1, -2], 'simple_distinct': ['1.19.ac', '1.19.b'], 'simple_factors': ['1.19.acA', '1.19.bA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F+11', '5,7*V-9'], 'size': 41, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.576.1', 'splitting_polynomials': [[4, 0, -2, 0, 1]], 'twist_count': 12, 'twists': [['2.19.ad_bo', '2.361.ct_cye', 2], ['2.19.b_bk', '2.361.ct_cye', 2], ['2.19.d_bo', '2.361.ct_cye', 2], ['2.19.ak_cc', '2.6859.by_lni', 3], ['2.19.f_y', '2.6859.by_lni', 3], ['2.19.aj_ca', '2.47045881.tim_kdjtvy', 6], ['2.19.ag_w', '2.47045881.tim_kdjtvy', 6], ['2.19.af_y', '2.47045881.tim_kdjtvy', 6], ['2.19.g_w', '2.47045881.tim_kdjtvy', 6], ['2.19.j_ca', '2.47045881.tim_kdjtvy', 6], ['2.19.k_cc', '2.47045881.tim_kdjtvy', 6]], 'weak_equivalence_count': 14, 'zfv_index': 135, 'zfv_index_factorization': [[3, 3], [5, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5400, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F+11', '5,7*V-9']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['13', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.b', 'galois_group': '2T1', 'places': [['11', '1'], ['7', '1']]}
Abelian variety isogeny class data - 2.19.ab_bk